Information Dynamics and Adaptive Dynamics View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2011

AUTHORS

Masanori Ohya , Igor Volovich

ABSTRACT

There exist various approaches to study chaotic behavior of systems by means of several concepts such as entropy, complexity, chaos, fractal, stochasticity. In 1991, the term Information Dynamics (ID) was proposed by Ohya with the aim of finding a common framework of treating such chaotic behaviors of different systems altogether. That is, ID is an attempt to synthesize dynamics of state change and complexity of the systems. The basic quantity in ID is called a chaos degree, which can be applied to describe chaos phenomena. Since then, ID has been refined and applied to several topics such as communication, chaos, genetics, and finance. Moreover, ID enables us to find mathematics to describe a sort of subjective aspects of physical phenomena, for instance, observation, effects of surroundings, which is called Adaptive Dynamics (AD). More... »

PAGES

251-312

References to SciGraph publications

  • 2010-09. Bogoliubov equations and functional mechanics in THEORETICAL AND MATHEMATICAL PHYSICS
  • 2010-01. Number theory as the ultimate physical theory in P-ADIC NUMBERS, ULTRAMETRIC ANALYSIS AND APPLICATIONS
  • 1997. Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models in NONE
  • 2005-09. On Halting Process of Quantum Turing Machine in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 2000-03. NP Problem in Quantum Algorithm in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 2009-12. Functional classical mechanics and rational numbers in P-ADIC NUMBERS, ULTRAMETRIC ANALYSIS AND APPLICATIONS
  • 1922-12. Über die Krümmung des Raumes in ZEITSCHRIFT FÜR PHYSIK
  • 2002. Quantum Theory and Its Stochastic Limit in NONE
  • 2011-03. Randomness in Classical Mechanics and Quantum Mechanics in FOUNDATIONS OF PHYSICS
  • 2001. Boltzmann’s Approach to Statistical Mechanics in CHANCE IN PHYSICS
  • 1978. Mathematical Methods of Classical Mechanics in NONE
  • 2002. Non-Locality and Quantum Theory: New Experimental Evidence in QUANTUM COMMUNICATION, COMPUTING, AND MEASUREMENT 3
  • 1992-10. On fuzzy relative entropy in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 1997. Information Dynamics and Open Systems, Classical and Quantum Approach in NONE
  • 1998. Foundation of Entropy, Complexity and Fractals in Quantum Systems in PROBABILITY TOWARDS 2000
  • 1981. Semi-Classical Approximation in Quantum Mechanics in NONE
  • 2009-07. p-Adic nonorthogonal wavelet bases in PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS
  • 1996-03. Entropy functionals of Kolmogorov-Sinai type and their limit theorems in LETTERS IN MATHEMATICAL PHYSICS
  • 2009-03. On p-adic mathematical physics in P-ADIC NUMBERS, ULTRAMETRIC ANALYSIS AND APPLICATIONS
  • 2009-03. Multipliers for the symmetry groups of p-adic spacetime in P-ADIC NUMBERS, ULTRAMETRIC ANALYSIS AND APPLICATIONS
  • 2007-04. Fine-grained and coarse-grained entropy in problems of statistical mechanics in THEORETICAL AND MATHEMATICAL PHYSICS
  • 1984. Modern Geometry — Methods and Applications, Part I. The Geometry of Surfaces, Transformation Groups, and Fields in NONE
  • 1987-12. Dynamical entropy ofC* algebras and von Neumann algebras in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2003-09. How Can We Observe and Describe Chaos? in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 2001. On the Ohya-Masuda Quantum SAT Algorithm in UNCONVENTIONAL MODELS OF COMPUTATION, UMC’2K
  • 1999-02. Compound Channels, Transition Expectations, and Liftings in APPLIED MATHEMATICS & OPTIMIZATION
  • 1991. Information dynamics and its applications to optical communication processes in QUANTUM ASPECTS OF OPTICAL COMMUNICATIONS
  • 2004-09. A Stochastic Limit Approach to the SAT Problem in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 1998-01. Complexities and Their Applications to Characterization of Chaos in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2000-03. ε-Entropy and Fractal Dimension of a State for a Gaussian Measure in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 2009-03. Quantum approximation theorem in P-ADIC NUMBERS, ULTRAMETRIC ANALYSIS AND APPLICATIONS
  • 1983-11. Note on quantum probability in LETTERE AL NUOVO CIMENTO (1971-1985)
  • Book

    TITLE

    Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems

    ISBN

    978-94-007-0170-0
    978-94-007-0171-7

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-94-007-0171-7_10

    DOI

    http://dx.doi.org/10.1007/978-94-007-0171-7_10

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1030115674


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Tokyo University of Science", 
              "id": "https://www.grid.ac/institutes/grid.143643.7", 
              "name": [
                "Information Sciences, Tokyo University of Science, Yamazaki 2641, 278-8510, Noda, Japan"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Ohya", 
            "givenName": "Masanori", 
            "id": "sg:person.013365420775.41", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013365420775.41"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Steklov Mathematical Institute", 
              "id": "https://www.grid.ac/institutes/grid.426543.2", 
              "name": [
                "Mathematical Physics, Steklov Mathematical Institute, Gubkin St 8, 119991, Moscow, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Volovich", 
            "givenName": "Igor", 
            "id": "sg:person.016103555657.94", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016103555657.94"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1134/s2070046609040086", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003436880", 
              "https://doi.org/10.1134/s2070046609040086"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s2070046609040086", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003436880", 
              "https://doi.org/10.1134/s2070046609040086"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0034-4885/26/1/311", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005344691"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0167-2789(98)00048-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005754577"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1006644859", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4684-9946-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006644859", 
              "https://doi.org/10.1007/978-1-4684-9946-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4684-9946-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006644859", 
              "https://doi.org/10.1007/978-1-4684-9946-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002459900097", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006979639", 
              "https://doi.org/10.1007/s002459900097"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0019-9958(65)90241-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009640697"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4471-0313-4_1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010608959", 
              "https://doi.org/10.1007/978-1-4471-0313-4_1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4471-0313-4_1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010608959", 
              "https://doi.org/10.1007/978-1-4471-0313-4_1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0034-4877(76)90060-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011462970"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1009651417615", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012766077", 
              "https://doi.org/10.1023/a:1009651417615"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-009-1483-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013327915", 
              "https://doi.org/10.1007/978-94-009-1483-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-009-1483-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013327915", 
              "https://doi.org/10.1007/978-94-009-1483-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s0081543809020011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017287797", 
              "https://doi.org/10.1134/s0081543809020011"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/3-540-44966-3_3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017663681", 
              "https://doi.org/10.1007/3-540-44966-3_3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1017973450", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-017-1882-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017973450", 
              "https://doi.org/10.1007/978-94-017-1882-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-017-1882-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017973450", 
              "https://doi.org/10.1007/978-94-017-1882-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s2070046609010075", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018050651", 
              "https://doi.org/10.1134/s2070046609010075"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4612-2224-8_16", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018834033", 
              "https://doi.org/10.1007/978-1-4612-2224-8_16"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4612-2224-8_16", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018834033", 
              "https://doi.org/10.1007/978-1-4612-2224-8_16"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10701-010-9450-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019820068", 
              "https://doi.org/10.1007/s10701-010-9450-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00943285", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022557253", 
              "https://doi.org/10.1007/bf00943285"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0034-4877(03)90002-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024115457"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-247x(81)90170-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024494478"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11232-007-0040-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024697239", 
              "https://doi.org/10.1007/s11232-007-0040-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11232-007-0040-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024697239", 
              "https://doi.org/10.1007/s11232-007-0040-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0034-4877(97)84895-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025158856"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1009603501685", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025601409", 
              "https://doi.org/10.1023/a:1009603501685"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02228847", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025930230", 
              "https://doi.org/10.1007/bf02228847"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02228847", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025930230", 
              "https://doi.org/10.1007/bf02228847"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1111/j.1749-6632.1996.tb23135.x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027106088"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0960-0779(99)00050-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028540711"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/0-306-47114-0_50", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031239768", 
              "https://doi.org/10.1007/0-306-47114-0_50"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0034-4877(89)90034-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031429842"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01225381", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034943987", 
              "https://doi.org/10.1007/bf01225381"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01225381", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034943987", 
              "https://doi.org/10.1007/bf01225381"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02789599", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035227287", 
              "https://doi.org/10.1007/bf02789599"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4757-1693-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035545882", 
              "https://doi.org/10.1007/978-1-4757-1693-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4757-1693-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035545882", 
              "https://doi.org/10.1007/978-1-4757-1693-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1025123923519", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036899820", 
              "https://doi.org/10.1023/a:1025123923519"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.crhy.2007.04.011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037971269"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.1420743", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040900481"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/4/4/003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040934472"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s2070046609010099", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041806959", 
              "https://doi.org/10.1134/s2070046609010099"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0019-9958(72)90199-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042858045"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1026620313483", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044316893", 
              "https://doi.org/10.1023/a:1026620313483"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s2070046609010014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044383378", 
              "https://doi.org/10.1134/s2070046609010014"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01332580", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044436352", 
              "https://doi.org/10.1007/bf01332580"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1045763589", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-04929-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045763589", 
              "https://doi.org/10.1007/978-3-662-04929-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-04929-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045763589", 
              "https://doi.org/10.1007/978-3-662-04929-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0034-4877(79)90066-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046366281"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/3-540-53862-3_169", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046928747", 
              "https://doi.org/10.1007/3-540-53862-3_169"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1145/321495.321506", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047747975"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11232-010-0090-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048581945", 
              "https://doi.org/10.1007/s11232-010-0090-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11232-010-0090-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048581945", 
              "https://doi.org/10.1007/s11232-010-0090-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-247x(83)90003-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048934958"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-247x(84)90076-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049249869"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0034-4877(05)80037-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050131732"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11080-005-0923-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051375834", 
              "https://doi.org/10.1007/s11080-005-0923-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/b:opsy.0000047567.88377.74", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051753591", 
              "https://doi.org/10.1023/b:opsy.0000047567.88377.74"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s2070046610010061", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051964046", 
              "https://doi.org/10.1134/s2070046610010061"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s2070046610010061", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051964046", 
              "https://doi.org/10.1134/s2070046610010061"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1464-4266/5/6/015", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059141466"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.23.880", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060773074"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.23.880", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060773074"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/tit.1983.1056719", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061648898"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0219025702000687", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062986797"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0219025702000857", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062986811"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s021902579900014x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062987367"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2977/prims/1195190105", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070935399"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2977/prims/1195191148", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070935446"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2996/kmj/1138036196", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070962655"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/9789812702449_0021", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1096045703"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/9789812774491_0017", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1096066220"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/9789812793171_0004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1096069384"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/9789812793171_0010", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1096069391"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/9789812793171_0014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1096069395"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/9789812771186_0011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1096077018"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/9789812810809_0001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1096080399"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/9789812810809_0026", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1096080421"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/9789814304061_0033", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1096085356"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/trans2/033", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098740353"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1099009361", 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/3527602976", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1101776699"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-009-8410-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1109716682", 
              "https://doi.org/10.1007/978-94-009-8410-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-009-8410-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1109716682", 
              "https://doi.org/10.1007/978-94-009-8410-3"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2011", 
        "datePublishedReg": "2011-01-01", 
        "description": "There exist various approaches to study chaotic behavior of systems by means of several concepts such as entropy, complexity, chaos, fractal, stochasticity. In 1991, the term Information Dynamics (ID) was proposed by Ohya with the aim of finding a common framework of treating such chaotic behaviors of different systems altogether. That is, ID is an attempt to synthesize dynamics of state change and complexity of the systems. The basic quantity in ID is called a chaos degree, which can be applied to describe chaos phenomena. Since then, ID has been refined and applied to several topics such as communication, chaos, genetics, and finance. Moreover, ID enables us to find mathematics to describe a sort of subjective aspects of physical phenomena, for instance, observation, effects of surroundings, which is called Adaptive Dynamics (AD).", 
        "genre": "chapter", 
        "id": "sg:pub.10.1007/978-94-007-0171-7_10", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": {
          "isbn": [
            "978-94-007-0170-0", 
            "978-94-007-0171-7"
          ], 
          "name": "Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems", 
          "type": "Book"
        }, 
        "name": "Information Dynamics and Adaptive Dynamics", 
        "pagination": "251-312", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1030115674"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/978-94-007-0171-7_10"
            ]
          }, 
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "8f77deb90d4ade07dcf98cc08e9348f497179fbda7268df95b5613c4b41f70a0"
            ]
          }
        ], 
        "publisher": {
          "location": "Dordrecht", 
          "name": "Springer Netherlands", 
          "type": "Organisation"
        }, 
        "sameAs": [
          "https://doi.org/10.1007/978-94-007-0171-7_10", 
          "https://app.dimensions.ai/details/publication/pub.1030115674"
        ], 
        "sdDataset": "chapters", 
        "sdDatePublished": "2019-04-16T08:35", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000365_0000000365/records_71673_00000001.jsonl", 
        "type": "Chapter", 
        "url": "https://link.springer.com/10.1007%2F978-94-007-0171-7_10"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-94-007-0171-7_10'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-94-007-0171-7_10'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-94-007-0171-7_10'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-94-007-0171-7_10'


     

    This table displays all metadata directly associated to this object as RDF triples.

    322 TRIPLES      22 PREDICATES      101 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/978-94-007-0171-7_10 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N5710f66c2a2d440c907f6ce828205a70
    4 schema:citation sg:pub.10.1007/0-306-47114-0_50
    5 sg:pub.10.1007/3-540-44966-3_3
    6 sg:pub.10.1007/3-540-53862-3_169
    7 sg:pub.10.1007/978-1-4471-0313-4_1
    8 sg:pub.10.1007/978-1-4612-2224-8_16
    9 sg:pub.10.1007/978-1-4684-9946-9
    10 sg:pub.10.1007/978-1-4757-1693-1
    11 sg:pub.10.1007/978-3-662-04929-7
    12 sg:pub.10.1007/978-94-009-1483-4
    13 sg:pub.10.1007/978-94-009-8410-3
    14 sg:pub.10.1007/978-94-017-1882-0
    15 sg:pub.10.1007/bf00943285
    16 sg:pub.10.1007/bf01225381
    17 sg:pub.10.1007/bf01332580
    18 sg:pub.10.1007/bf02228847
    19 sg:pub.10.1007/bf02789599
    20 sg:pub.10.1007/s002459900097
    21 sg:pub.10.1007/s10701-010-9450-2
    22 sg:pub.10.1007/s11080-005-0923-2
    23 sg:pub.10.1007/s11232-007-0040-1
    24 sg:pub.10.1007/s11232-010-0090-7
    25 sg:pub.10.1023/a:1009603501685
    26 sg:pub.10.1023/a:1009651417615
    27 sg:pub.10.1023/a:1025123923519
    28 sg:pub.10.1023/a:1026620313483
    29 sg:pub.10.1023/b:opsy.0000047567.88377.74
    30 sg:pub.10.1134/s0081543809020011
    31 sg:pub.10.1134/s2070046609010014
    32 sg:pub.10.1134/s2070046609010075
    33 sg:pub.10.1134/s2070046609010099
    34 sg:pub.10.1134/s2070046609040086
    35 sg:pub.10.1134/s2070046610010061
    36 https://app.dimensions.ai/details/publication/pub.1006644859
    37 https://app.dimensions.ai/details/publication/pub.1017973450
    38 https://app.dimensions.ai/details/publication/pub.1045763589
    39 https://app.dimensions.ai/details/publication/pub.1099009361
    40 https://doi.org/10.1002/3527602976
    41 https://doi.org/10.1016/0022-247x(81)90170-0
    42 https://doi.org/10.1016/0022-247x(83)90003-3
    43 https://doi.org/10.1016/0022-247x(84)90076-3
    44 https://doi.org/10.1016/0034-4877(76)90060-4
    45 https://doi.org/10.1016/0034-4877(79)90066-1
    46 https://doi.org/10.1016/0034-4877(89)90034-7
    47 https://doi.org/10.1016/j.crhy.2007.04.011
    48 https://doi.org/10.1016/s0019-9958(65)90241-x
    49 https://doi.org/10.1016/s0019-9958(72)90199-4
    50 https://doi.org/10.1016/s0034-4877(03)90002-4
    51 https://doi.org/10.1016/s0034-4877(05)80037-0
    52 https://doi.org/10.1016/s0034-4877(97)84895-1
    53 https://doi.org/10.1016/s0167-2789(98)00048-7
    54 https://doi.org/10.1016/s0960-0779(99)00050-8
    55 https://doi.org/10.1063/1.1420743
    56 https://doi.org/10.1088/0034-4885/26/1/311
    57 https://doi.org/10.1088/0264-9381/4/4/003
    58 https://doi.org/10.1088/1464-4266/5/6/015
    59 https://doi.org/10.1090/trans2/033
    60 https://doi.org/10.1103/physrevlett.23.880
    61 https://doi.org/10.1109/tit.1983.1056719
    62 https://doi.org/10.1111/j.1749-6632.1996.tb23135.x
    63 https://doi.org/10.1142/9789812702449_0021
    64 https://doi.org/10.1142/9789812771186_0011
    65 https://doi.org/10.1142/9789812774491_0017
    66 https://doi.org/10.1142/9789812793171_0004
    67 https://doi.org/10.1142/9789812793171_0010
    68 https://doi.org/10.1142/9789812793171_0014
    69 https://doi.org/10.1142/9789812810809_0001
    70 https://doi.org/10.1142/9789812810809_0026
    71 https://doi.org/10.1142/9789814304061_0033
    72 https://doi.org/10.1142/s0219025702000687
    73 https://doi.org/10.1142/s0219025702000857
    74 https://doi.org/10.1142/s021902579900014x
    75 https://doi.org/10.1145/321495.321506
    76 https://doi.org/10.2977/prims/1195190105
    77 https://doi.org/10.2977/prims/1195191148
    78 https://doi.org/10.2996/kmj/1138036196
    79 schema:datePublished 2011
    80 schema:datePublishedReg 2011-01-01
    81 schema:description There exist various approaches to study chaotic behavior of systems by means of several concepts such as entropy, complexity, chaos, fractal, stochasticity. In 1991, the term Information Dynamics (ID) was proposed by Ohya with the aim of finding a common framework of treating such chaotic behaviors of different systems altogether. That is, ID is an attempt to synthesize dynamics of state change and complexity of the systems. The basic quantity in ID is called a chaos degree, which can be applied to describe chaos phenomena. Since then, ID has been refined and applied to several topics such as communication, chaos, genetics, and finance. Moreover, ID enables us to find mathematics to describe a sort of subjective aspects of physical phenomena, for instance, observation, effects of surroundings, which is called Adaptive Dynamics (AD).
    82 schema:genre chapter
    83 schema:inLanguage en
    84 schema:isAccessibleForFree false
    85 schema:isPartOf Nc69c58711491480bb8bc50f18fdf3f22
    86 schema:name Information Dynamics and Adaptive Dynamics
    87 schema:pagination 251-312
    88 schema:productId N4ab56394a9394c98a1850e419b73ceec
    89 N9d3accc6abbf4da183b34cba6df4707b
    90 Nca3eb9454e0248d190dac16d1e210261
    91 schema:publisher N4fb9446c6065461fbd348033da1c7101
    92 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030115674
    93 https://doi.org/10.1007/978-94-007-0171-7_10
    94 schema:sdDatePublished 2019-04-16T08:35
    95 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    96 schema:sdPublisher Nef2c210379ba4a43bd98b2a78c1cada9
    97 schema:url https://link.springer.com/10.1007%2F978-94-007-0171-7_10
    98 sgo:license sg:explorer/license/
    99 sgo:sdDataset chapters
    100 rdf:type schema:Chapter
    101 N447d7ae00293446fbbe02fc2581f63dc rdf:first sg:person.016103555657.94
    102 rdf:rest rdf:nil
    103 N4ab56394a9394c98a1850e419b73ceec schema:name doi
    104 schema:value 10.1007/978-94-007-0171-7_10
    105 rdf:type schema:PropertyValue
    106 N4fb9446c6065461fbd348033da1c7101 schema:location Dordrecht
    107 schema:name Springer Netherlands
    108 rdf:type schema:Organisation
    109 N5710f66c2a2d440c907f6ce828205a70 rdf:first sg:person.013365420775.41
    110 rdf:rest N447d7ae00293446fbbe02fc2581f63dc
    111 N9d3accc6abbf4da183b34cba6df4707b schema:name dimensions_id
    112 schema:value pub.1030115674
    113 rdf:type schema:PropertyValue
    114 Nc69c58711491480bb8bc50f18fdf3f22 schema:isbn 978-94-007-0170-0
    115 978-94-007-0171-7
    116 schema:name Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
    117 rdf:type schema:Book
    118 Nca3eb9454e0248d190dac16d1e210261 schema:name readcube_id
    119 schema:value 8f77deb90d4ade07dcf98cc08e9348f497179fbda7268df95b5613c4b41f70a0
    120 rdf:type schema:PropertyValue
    121 Nef2c210379ba4a43bd98b2a78c1cada9 schema:name Springer Nature - SN SciGraph project
    122 rdf:type schema:Organization
    123 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    124 schema:name Mathematical Sciences
    125 rdf:type schema:DefinedTerm
    126 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    127 schema:name Pure Mathematics
    128 rdf:type schema:DefinedTerm
    129 sg:person.013365420775.41 schema:affiliation https://www.grid.ac/institutes/grid.143643.7
    130 schema:familyName Ohya
    131 schema:givenName Masanori
    132 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013365420775.41
    133 rdf:type schema:Person
    134 sg:person.016103555657.94 schema:affiliation https://www.grid.ac/institutes/grid.426543.2
    135 schema:familyName Volovich
    136 schema:givenName Igor
    137 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016103555657.94
    138 rdf:type schema:Person
    139 sg:pub.10.1007/0-306-47114-0_50 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031239768
    140 https://doi.org/10.1007/0-306-47114-0_50
    141 rdf:type schema:CreativeWork
    142 sg:pub.10.1007/3-540-44966-3_3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017663681
    143 https://doi.org/10.1007/3-540-44966-3_3
    144 rdf:type schema:CreativeWork
    145 sg:pub.10.1007/3-540-53862-3_169 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046928747
    146 https://doi.org/10.1007/3-540-53862-3_169
    147 rdf:type schema:CreativeWork
    148 sg:pub.10.1007/978-1-4471-0313-4_1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010608959
    149 https://doi.org/10.1007/978-1-4471-0313-4_1
    150 rdf:type schema:CreativeWork
    151 sg:pub.10.1007/978-1-4612-2224-8_16 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018834033
    152 https://doi.org/10.1007/978-1-4612-2224-8_16
    153 rdf:type schema:CreativeWork
    154 sg:pub.10.1007/978-1-4684-9946-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006644859
    155 https://doi.org/10.1007/978-1-4684-9946-9
    156 rdf:type schema:CreativeWork
    157 sg:pub.10.1007/978-1-4757-1693-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035545882
    158 https://doi.org/10.1007/978-1-4757-1693-1
    159 rdf:type schema:CreativeWork
    160 sg:pub.10.1007/978-3-662-04929-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045763589
    161 https://doi.org/10.1007/978-3-662-04929-7
    162 rdf:type schema:CreativeWork
    163 sg:pub.10.1007/978-94-009-1483-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013327915
    164 https://doi.org/10.1007/978-94-009-1483-4
    165 rdf:type schema:CreativeWork
    166 sg:pub.10.1007/978-94-009-8410-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1109716682
    167 https://doi.org/10.1007/978-94-009-8410-3
    168 rdf:type schema:CreativeWork
    169 sg:pub.10.1007/978-94-017-1882-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017973450
    170 https://doi.org/10.1007/978-94-017-1882-0
    171 rdf:type schema:CreativeWork
    172 sg:pub.10.1007/bf00943285 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022557253
    173 https://doi.org/10.1007/bf00943285
    174 rdf:type schema:CreativeWork
    175 sg:pub.10.1007/bf01225381 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034943987
    176 https://doi.org/10.1007/bf01225381
    177 rdf:type schema:CreativeWork
    178 sg:pub.10.1007/bf01332580 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044436352
    179 https://doi.org/10.1007/bf01332580
    180 rdf:type schema:CreativeWork
    181 sg:pub.10.1007/bf02228847 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025930230
    182 https://doi.org/10.1007/bf02228847
    183 rdf:type schema:CreativeWork
    184 sg:pub.10.1007/bf02789599 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035227287
    185 https://doi.org/10.1007/bf02789599
    186 rdf:type schema:CreativeWork
    187 sg:pub.10.1007/s002459900097 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006979639
    188 https://doi.org/10.1007/s002459900097
    189 rdf:type schema:CreativeWork
    190 sg:pub.10.1007/s10701-010-9450-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019820068
    191 https://doi.org/10.1007/s10701-010-9450-2
    192 rdf:type schema:CreativeWork
    193 sg:pub.10.1007/s11080-005-0923-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051375834
    194 https://doi.org/10.1007/s11080-005-0923-2
    195 rdf:type schema:CreativeWork
    196 sg:pub.10.1007/s11232-007-0040-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024697239
    197 https://doi.org/10.1007/s11232-007-0040-1
    198 rdf:type schema:CreativeWork
    199 sg:pub.10.1007/s11232-010-0090-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048581945
    200 https://doi.org/10.1007/s11232-010-0090-7
    201 rdf:type schema:CreativeWork
    202 sg:pub.10.1023/a:1009603501685 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025601409
    203 https://doi.org/10.1023/a:1009603501685
    204 rdf:type schema:CreativeWork
    205 sg:pub.10.1023/a:1009651417615 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012766077
    206 https://doi.org/10.1023/a:1009651417615
    207 rdf:type schema:CreativeWork
    208 sg:pub.10.1023/a:1025123923519 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036899820
    209 https://doi.org/10.1023/a:1025123923519
    210 rdf:type schema:CreativeWork
    211 sg:pub.10.1023/a:1026620313483 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044316893
    212 https://doi.org/10.1023/a:1026620313483
    213 rdf:type schema:CreativeWork
    214 sg:pub.10.1023/b:opsy.0000047567.88377.74 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051753591
    215 https://doi.org/10.1023/b:opsy.0000047567.88377.74
    216 rdf:type schema:CreativeWork
    217 sg:pub.10.1134/s0081543809020011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017287797
    218 https://doi.org/10.1134/s0081543809020011
    219 rdf:type schema:CreativeWork
    220 sg:pub.10.1134/s2070046609010014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044383378
    221 https://doi.org/10.1134/s2070046609010014
    222 rdf:type schema:CreativeWork
    223 sg:pub.10.1134/s2070046609010075 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018050651
    224 https://doi.org/10.1134/s2070046609010075
    225 rdf:type schema:CreativeWork
    226 sg:pub.10.1134/s2070046609010099 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041806959
    227 https://doi.org/10.1134/s2070046609010099
    228 rdf:type schema:CreativeWork
    229 sg:pub.10.1134/s2070046609040086 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003436880
    230 https://doi.org/10.1134/s2070046609040086
    231 rdf:type schema:CreativeWork
    232 sg:pub.10.1134/s2070046610010061 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051964046
    233 https://doi.org/10.1134/s2070046610010061
    234 rdf:type schema:CreativeWork
    235 https://app.dimensions.ai/details/publication/pub.1006644859 schema:CreativeWork
    236 https://app.dimensions.ai/details/publication/pub.1017973450 schema:CreativeWork
    237 https://app.dimensions.ai/details/publication/pub.1045763589 schema:CreativeWork
    238 https://app.dimensions.ai/details/publication/pub.1099009361 schema:CreativeWork
    239 https://doi.org/10.1002/3527602976 schema:sameAs https://app.dimensions.ai/details/publication/pub.1101776699
    240 rdf:type schema:CreativeWork
    241 https://doi.org/10.1016/0022-247x(81)90170-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024494478
    242 rdf:type schema:CreativeWork
    243 https://doi.org/10.1016/0022-247x(83)90003-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048934958
    244 rdf:type schema:CreativeWork
    245 https://doi.org/10.1016/0022-247x(84)90076-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049249869
    246 rdf:type schema:CreativeWork
    247 https://doi.org/10.1016/0034-4877(76)90060-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011462970
    248 rdf:type schema:CreativeWork
    249 https://doi.org/10.1016/0034-4877(79)90066-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046366281
    250 rdf:type schema:CreativeWork
    251 https://doi.org/10.1016/0034-4877(89)90034-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031429842
    252 rdf:type schema:CreativeWork
    253 https://doi.org/10.1016/j.crhy.2007.04.011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037971269
    254 rdf:type schema:CreativeWork
    255 https://doi.org/10.1016/s0019-9958(65)90241-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1009640697
    256 rdf:type schema:CreativeWork
    257 https://doi.org/10.1016/s0019-9958(72)90199-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042858045
    258 rdf:type schema:CreativeWork
    259 https://doi.org/10.1016/s0034-4877(03)90002-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024115457
    260 rdf:type schema:CreativeWork
    261 https://doi.org/10.1016/s0034-4877(05)80037-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050131732
    262 rdf:type schema:CreativeWork
    263 https://doi.org/10.1016/s0034-4877(97)84895-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025158856
    264 rdf:type schema:CreativeWork
    265 https://doi.org/10.1016/s0167-2789(98)00048-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005754577
    266 rdf:type schema:CreativeWork
    267 https://doi.org/10.1016/s0960-0779(99)00050-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028540711
    268 rdf:type schema:CreativeWork
    269 https://doi.org/10.1063/1.1420743 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040900481
    270 rdf:type schema:CreativeWork
    271 https://doi.org/10.1088/0034-4885/26/1/311 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005344691
    272 rdf:type schema:CreativeWork
    273 https://doi.org/10.1088/0264-9381/4/4/003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040934472
    274 rdf:type schema:CreativeWork
    275 https://doi.org/10.1088/1464-4266/5/6/015 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059141466
    276 rdf:type schema:CreativeWork
    277 https://doi.org/10.1090/trans2/033 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098740353
    278 rdf:type schema:CreativeWork
    279 https://doi.org/10.1103/physrevlett.23.880 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060773074
    280 rdf:type schema:CreativeWork
    281 https://doi.org/10.1109/tit.1983.1056719 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061648898
    282 rdf:type schema:CreativeWork
    283 https://doi.org/10.1111/j.1749-6632.1996.tb23135.x schema:sameAs https://app.dimensions.ai/details/publication/pub.1027106088
    284 rdf:type schema:CreativeWork
    285 https://doi.org/10.1142/9789812702449_0021 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096045703
    286 rdf:type schema:CreativeWork
    287 https://doi.org/10.1142/9789812771186_0011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096077018
    288 rdf:type schema:CreativeWork
    289 https://doi.org/10.1142/9789812774491_0017 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096066220
    290 rdf:type schema:CreativeWork
    291 https://doi.org/10.1142/9789812793171_0004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096069384
    292 rdf:type schema:CreativeWork
    293 https://doi.org/10.1142/9789812793171_0010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096069391
    294 rdf:type schema:CreativeWork
    295 https://doi.org/10.1142/9789812793171_0014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096069395
    296 rdf:type schema:CreativeWork
    297 https://doi.org/10.1142/9789812810809_0001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096080399
    298 rdf:type schema:CreativeWork
    299 https://doi.org/10.1142/9789812810809_0026 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096080421
    300 rdf:type schema:CreativeWork
    301 https://doi.org/10.1142/9789814304061_0033 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096085356
    302 rdf:type schema:CreativeWork
    303 https://doi.org/10.1142/s0219025702000687 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062986797
    304 rdf:type schema:CreativeWork
    305 https://doi.org/10.1142/s0219025702000857 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062986811
    306 rdf:type schema:CreativeWork
    307 https://doi.org/10.1142/s021902579900014x schema:sameAs https://app.dimensions.ai/details/publication/pub.1062987367
    308 rdf:type schema:CreativeWork
    309 https://doi.org/10.1145/321495.321506 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047747975
    310 rdf:type schema:CreativeWork
    311 https://doi.org/10.2977/prims/1195190105 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070935399
    312 rdf:type schema:CreativeWork
    313 https://doi.org/10.2977/prims/1195191148 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070935446
    314 rdf:type schema:CreativeWork
    315 https://doi.org/10.2996/kmj/1138036196 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070962655
    316 rdf:type schema:CreativeWork
    317 https://www.grid.ac/institutes/grid.143643.7 schema:alternateName Tokyo University of Science
    318 schema:name Information Sciences, Tokyo University of Science, Yamazaki 2641, 278-8510, Noda, Japan
    319 rdf:type schema:Organization
    320 https://www.grid.ac/institutes/grid.426543.2 schema:alternateName Steklov Mathematical Institute
    321 schema:name Mathematical Physics, Steklov Mathematical Institute, Gubkin St 8, 119991, Moscow, Russia
    322 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...