Quantum quasiballistic dynamics and thick point spectrum View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-03-02

AUTHORS

Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira

ABSTRACT

We obtain dynamical lower bounds for some self-adjoint operators with pure point spectrum in terms of the spacing properties of their eigenvalues. In particular, it is shown that for systems with thick point spectrum, typically in Baire’s sense, the dynamics of each initial condition (with respect to some orthonormal bases of the space) presents a quasiballistic behaviour. We present explicit applications to some Schrödinger operators. More... »

PAGES

1-16

References to SciGraph publications

  • 1987-03. Anderson localization for Bernoulli and other singular potentials in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2017-04. Dynamical Localization for Discrete Anderson Dirac Operators in JOURNAL OF STATISTICAL PHYSICS
  • 1990-11. Absence of ballistic motion in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1989-01. Stark effect for a difference Schrödinger operator in THEORETICAL AND MATHEMATICAL PHYSICS
  • 1909-12. Über beschränkte quadratische formen, deren differenz vollstetig ist in RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO SERIES 2
  • 1996-12. Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization in JOURNAL D'ANALYSE MATHÉMATIQUE
  • 1989-06. A new proof of localization in the Anderson tight binding model in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1983-12. Examples of discrete Schrödinger operators with pure point spectrum in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11005-019-01166-y

    DOI

    http://dx.doi.org/10.1007/s11005-019-01166-y

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112503034


    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": "Universidade Federal de Minas Gerais", 
              "id": "https://www.grid.ac/institutes/grid.8430.f", 
              "name": [
                "UFMG, Avenida Ant\u00f4nio Carlos, 6627, Caixa Postal 702, 30123-970, Belo Horizonte, MG, Brazil"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Aloisio", 
            "givenName": "Moacir", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Universidade Federal de Minas Gerais", 
              "id": "https://www.grid.ac/institutes/grid.8430.f", 
              "name": [
                "UFMG, Avenida Ant\u00f4nio Carlos, 6627, Caixa Postal 702, 30123-970, Belo Horizonte, MG, Brazil"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Carvalho", 
            "givenName": "Silas L.", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Federal University of S\u00e3o Carlos", 
              "id": "https://www.grid.ac/institutes/grid.411247.5", 
              "name": [
                "UFSCar, Rodovia Washington Lu\u00eds, km 235, Caixa Postal 676, 13565-905, S\u00e3o Carlos, SP, Brazil"
              ], 
              "type": "Organization"
            }, 
            "familyName": "de Oliveira", 
            "givenName": "C\u00e9sar R.", 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf01210702", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002642648", 
              "https://doi.org/10.1007/bf01210702"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01210702", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002642648", 
              "https://doi.org/10.1007/bf01210702"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9939-97-03559-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006793564"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01211953", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007298108", 
              "https://doi.org/10.1007/bf01211953"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02102095", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007935212", 
              "https://doi.org/10.1007/bf02102095"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02102095", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007935212", 
              "https://doi.org/10.1007/bf02102095"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jde.2006.12.017", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008236608"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1006/jfan.1996.0155", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009963824"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf03019655", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010380799", 
              "https://doi.org/10.1007/bf03019655"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01016916", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010431323", 
              "https://doi.org/10.1007/bf01016916"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01016916", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010431323", 
              "https://doi.org/10.1007/bf01016916"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0305-4470/38/7/l02", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014732830"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02787106", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019469735", 
              "https://doi.org/10.1007/bf02787106"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0021-7824(01)01219-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022508561"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-1236(87)90038-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039691604"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.4953248", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049142045"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01219198", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052138451", 
              "https://doi.org/10.1007/bf01219198"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/etds.2015.120", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054083788"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/etds.2015.120", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054083788"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/proc/12697", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059345094"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.44.1706", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060784887"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.44.1706", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060784887"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/00127094-2011-006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064411292"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-01-11015-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064415239"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-04-12423-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064415465"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.3934/dcds.2010.28.1381", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071734117"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10955-017-1746-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1084028218", 
              "https://doi.org/10.1007/s10955-017-1746-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10955-017-1746-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1084028218", 
              "https://doi.org/10.1007/s10955-017-1746-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/9789812777874_0001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1088715191"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/conm/552/10911", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1089199665"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-03-02", 
        "datePublishedReg": "2019-03-02", 
        "description": "We obtain dynamical lower bounds for some self-adjoint operators with pure point spectrum in terms of the spacing properties of their eigenvalues. In particular, it is shown that for systems with thick point spectrum, typically in Baire\u2019s sense, the dynamics of each initial condition (with respect to some orthonormal bases of the space) presents a quasiballistic behaviour. We present explicit applications to some Schr\u00f6dinger operators.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s11005-019-01166-y", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1327584", 
            "issn": [
              "0377-9017", 
              "1573-0530"
            ], 
            "name": "Letters in Mathematical Physics", 
            "type": "Periodical"
          }
        ], 
        "name": "Quantum quasiballistic dynamics and thick point spectrum", 
        "pagination": "1-16", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "fecb743a9a16e86c781e8d8865943fcbd7fc9ff8aaed3fd3696f2ed510ea6d86"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s11005-019-01166-y"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1112503034"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s11005-019-01166-y", 
          "https://app.dimensions.ai/details/publication/pub.1112503034"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T10:50", 
        "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/v90/0000000350_0000000350/records_77577_00000001.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs11005-019-01166-y"
      }
    ]
     

    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/s11005-019-01166-y'

    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/s11005-019-01166-y'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11005-019-01166-y'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11005-019-01166-y'


     

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

    149 TRIPLES      21 PREDICATES      48 URIs      16 LITERALS      5 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s11005-019-01166-y schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N2cabde893e03471388d8b729c32f88fe
    4 schema:citation sg:pub.10.1007/bf01016916
    5 sg:pub.10.1007/bf01210702
    6 sg:pub.10.1007/bf01211953
    7 sg:pub.10.1007/bf01219198
    8 sg:pub.10.1007/bf02102095
    9 sg:pub.10.1007/bf02787106
    10 sg:pub.10.1007/bf03019655
    11 sg:pub.10.1007/s10955-017-1746-6
    12 https://doi.org/10.1006/jfan.1996.0155
    13 https://doi.org/10.1016/0022-1236(87)90038-3
    14 https://doi.org/10.1016/j.jde.2006.12.017
    15 https://doi.org/10.1016/s0021-7824(01)01219-3
    16 https://doi.org/10.1017/etds.2015.120
    17 https://doi.org/10.1063/1.4953248
    18 https://doi.org/10.1088/0305-4470/38/7/l02
    19 https://doi.org/10.1090/conm/552/10911
    20 https://doi.org/10.1090/proc/12697
    21 https://doi.org/10.1090/s0002-9939-97-03559-4
    22 https://doi.org/10.1103/physrevlett.44.1706
    23 https://doi.org/10.1142/9789812777874_0001
    24 https://doi.org/10.1215/00127094-2011-006
    25 https://doi.org/10.1215/s0012-7094-01-11015-6
    26 https://doi.org/10.1215/s0012-7094-04-12423-6
    27 https://doi.org/10.3934/dcds.2010.28.1381
    28 schema:datePublished 2019-03-02
    29 schema:datePublishedReg 2019-03-02
    30 schema:description We obtain dynamical lower bounds for some self-adjoint operators with pure point spectrum in terms of the spacing properties of their eigenvalues. In particular, it is shown that for systems with thick point spectrum, typically in Baire’s sense, the dynamics of each initial condition (with respect to some orthonormal bases of the space) presents a quasiballistic behaviour. We present explicit applications to some Schrödinger operators.
    31 schema:genre research_article
    32 schema:inLanguage en
    33 schema:isAccessibleForFree false
    34 schema:isPartOf sg:journal.1327584
    35 schema:name Quantum quasiballistic dynamics and thick point spectrum
    36 schema:pagination 1-16
    37 schema:productId N0761df2535aa4510a2517fb69ce3196d
    38 N09ed71ebdf1048038b802516cbd9d624
    39 Nc9988f8b0e0a4902976bf8885e8e2378
    40 schema:sameAs https://app.dimensions.ai/details/publication/pub.1112503034
    41 https://doi.org/10.1007/s11005-019-01166-y
    42 schema:sdDatePublished 2019-04-11T10:50
    43 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    44 schema:sdPublisher Ncb8fa628a92245e0b5cf1aa5dd29122e
    45 schema:url https://link.springer.com/10.1007%2Fs11005-019-01166-y
    46 sgo:license sg:explorer/license/
    47 sgo:sdDataset articles
    48 rdf:type schema:ScholarlyArticle
    49 N0761df2535aa4510a2517fb69ce3196d schema:name readcube_id
    50 schema:value fecb743a9a16e86c781e8d8865943fcbd7fc9ff8aaed3fd3696f2ed510ea6d86
    51 rdf:type schema:PropertyValue
    52 N09ed71ebdf1048038b802516cbd9d624 schema:name doi
    53 schema:value 10.1007/s11005-019-01166-y
    54 rdf:type schema:PropertyValue
    55 N2cabde893e03471388d8b729c32f88fe rdf:first Nb177dd632ea7418ba41bbfe8c027c058
    56 rdf:rest N5576327878eb46dbb3d1b63da2cf17ae
    57 N5033ecf95cf846f5aa255465a023096b rdf:first Nbad63c5905a54d49976dc4d72130b83c
    58 rdf:rest rdf:nil
    59 N5576327878eb46dbb3d1b63da2cf17ae rdf:first N59d3b9c592d84ab79a33ba49cbcd417f
    60 rdf:rest N5033ecf95cf846f5aa255465a023096b
    61 N59d3b9c592d84ab79a33ba49cbcd417f schema:affiliation https://www.grid.ac/institutes/grid.8430.f
    62 schema:familyName Carvalho
    63 schema:givenName Silas L.
    64 rdf:type schema:Person
    65 Nb177dd632ea7418ba41bbfe8c027c058 schema:affiliation https://www.grid.ac/institutes/grid.8430.f
    66 schema:familyName Aloisio
    67 schema:givenName Moacir
    68 rdf:type schema:Person
    69 Nbad63c5905a54d49976dc4d72130b83c schema:affiliation https://www.grid.ac/institutes/grid.411247.5
    70 schema:familyName de Oliveira
    71 schema:givenName César R.
    72 rdf:type schema:Person
    73 Nc9988f8b0e0a4902976bf8885e8e2378 schema:name dimensions_id
    74 schema:value pub.1112503034
    75 rdf:type schema:PropertyValue
    76 Ncb8fa628a92245e0b5cf1aa5dd29122e schema:name Springer Nature - SN SciGraph project
    77 rdf:type schema:Organization
    78 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    79 schema:name Mathematical Sciences
    80 rdf:type schema:DefinedTerm
    81 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    82 schema:name Pure Mathematics
    83 rdf:type schema:DefinedTerm
    84 sg:journal.1327584 schema:issn 0377-9017
    85 1573-0530
    86 schema:name Letters in Mathematical Physics
    87 rdf:type schema:Periodical
    88 sg:pub.10.1007/bf01016916 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010431323
    89 https://doi.org/10.1007/bf01016916
    90 rdf:type schema:CreativeWork
    91 sg:pub.10.1007/bf01210702 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002642648
    92 https://doi.org/10.1007/bf01210702
    93 rdf:type schema:CreativeWork
    94 sg:pub.10.1007/bf01211953 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007298108
    95 https://doi.org/10.1007/bf01211953
    96 rdf:type schema:CreativeWork
    97 sg:pub.10.1007/bf01219198 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052138451
    98 https://doi.org/10.1007/bf01219198
    99 rdf:type schema:CreativeWork
    100 sg:pub.10.1007/bf02102095 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007935212
    101 https://doi.org/10.1007/bf02102095
    102 rdf:type schema:CreativeWork
    103 sg:pub.10.1007/bf02787106 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019469735
    104 https://doi.org/10.1007/bf02787106
    105 rdf:type schema:CreativeWork
    106 sg:pub.10.1007/bf03019655 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010380799
    107 https://doi.org/10.1007/bf03019655
    108 rdf:type schema:CreativeWork
    109 sg:pub.10.1007/s10955-017-1746-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1084028218
    110 https://doi.org/10.1007/s10955-017-1746-6
    111 rdf:type schema:CreativeWork
    112 https://doi.org/10.1006/jfan.1996.0155 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009963824
    113 rdf:type schema:CreativeWork
    114 https://doi.org/10.1016/0022-1236(87)90038-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039691604
    115 rdf:type schema:CreativeWork
    116 https://doi.org/10.1016/j.jde.2006.12.017 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008236608
    117 rdf:type schema:CreativeWork
    118 https://doi.org/10.1016/s0021-7824(01)01219-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022508561
    119 rdf:type schema:CreativeWork
    120 https://doi.org/10.1017/etds.2015.120 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054083788
    121 rdf:type schema:CreativeWork
    122 https://doi.org/10.1063/1.4953248 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049142045
    123 rdf:type schema:CreativeWork
    124 https://doi.org/10.1088/0305-4470/38/7/l02 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014732830
    125 rdf:type schema:CreativeWork
    126 https://doi.org/10.1090/conm/552/10911 schema:sameAs https://app.dimensions.ai/details/publication/pub.1089199665
    127 rdf:type schema:CreativeWork
    128 https://doi.org/10.1090/proc/12697 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059345094
    129 rdf:type schema:CreativeWork
    130 https://doi.org/10.1090/s0002-9939-97-03559-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006793564
    131 rdf:type schema:CreativeWork
    132 https://doi.org/10.1103/physrevlett.44.1706 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060784887
    133 rdf:type schema:CreativeWork
    134 https://doi.org/10.1142/9789812777874_0001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1088715191
    135 rdf:type schema:CreativeWork
    136 https://doi.org/10.1215/00127094-2011-006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064411292
    137 rdf:type schema:CreativeWork
    138 https://doi.org/10.1215/s0012-7094-01-11015-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064415239
    139 rdf:type schema:CreativeWork
    140 https://doi.org/10.1215/s0012-7094-04-12423-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064415465
    141 rdf:type schema:CreativeWork
    142 https://doi.org/10.3934/dcds.2010.28.1381 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071734117
    143 rdf:type schema:CreativeWork
    144 https://www.grid.ac/institutes/grid.411247.5 schema:alternateName Federal University of São Carlos
    145 schema:name UFSCar, Rodovia Washington Luís, km 235, Caixa Postal 676, 13565-905, São Carlos, SP, Brazil
    146 rdf:type schema:Organization
    147 https://www.grid.ac/institutes/grid.8430.f schema:alternateName Universidade Federal de Minas Gerais
    148 schema:name UFMG, Avenida Antônio Carlos, 6627, Caixa Postal 702, 30123-970, Belo Horizonte, MG, Brazil
    149 rdf:type schema:Organization
     




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


    ...