Positive fixed points of quadratic operators and Gibbs measures View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-01-12

AUTHORS

Yusup Khalbaevich Eshkabilov, Shohruh Dilmurodovich Nodirov, Farhod Halimjonovich Haydarov

ABSTRACT

In this paper we consider a model with nearest-neighbor interactions and with the set [0, 1] of spin values, on the Cayley tree of order two. Translational-invariant Gibbs measures for the model investigated by properties of positive fixed points of quadratic operators in the cone of R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}^{2}$$\end{document}. In the last section it is constructed kernels for the Hammerstien’s integral operator, which there exists two and three positive fixed points. More... »

PAGES

929-943

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11117-015-0394-9

DOI

http://dx.doi.org/10.1007/s11117-015-0394-9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021291692


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/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "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/2008/0102", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Applied Mathematics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "National University of Uzbekistan, Tashkent, Uzbekistan", 
          "id": "http://www.grid.ac/institutes/grid.23471.33", 
          "name": [
            "National University of Uzbekistan, Tashkent, Uzbekistan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Eshkabilov", 
        "givenName": "Yusup Khalbaevich", 
        "id": "sg:person.015547714741.65", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015547714741.65"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Kazan Federal University, Kazan, Russia", 
          "id": "http://www.grid.ac/institutes/grid.77268.3c", 
          "name": [
            "Kazan Federal University, Kazan, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Nodirov", 
        "givenName": "Shohruh Dilmurodovich", 
        "id": "sg:person.016676576704.47", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016676576704.47"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "National University of Uzbekistan, Tashkent, Uzbekistan", 
          "id": "http://www.grid.ac/institutes/grid.23471.33", 
          "name": [
            "National University of Uzbekistan, Tashkent, Uzbekistan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Haydarov", 
        "givenName": "Farhod Halimjonovich", 
        "id": "sg:person.015457756641.48", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015457756641.48"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1134/s1995080213030050", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017764168", 
          "https://doi.org/10.1134/s1995080213030050"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11040-012-9118-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034464484", 
          "https://doi.org/10.1007/s11040-012-9118-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02634109", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000760297", 
          "https://doi.org/10.1007/bf02634109"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11040-014-9158-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020064246", 
          "https://doi.org/10.1007/s11040-014-9158-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02179399", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029115716", 
          "https://doi.org/10.1007/bf02179399"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11005-005-0032-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038943181", 
          "https://doi.org/10.1007/s11005-005-0032-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10955-012-0494-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033373089", 
          "https://doi.org/10.1007/s10955-012-0494-x"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/b:ques.0000021149.43343.05", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014082630", 
          "https://doi.org/10.1023/b:ques.0000021149.43343.05"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02634202", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042152983", 
          "https://doi.org/10.1007/bf02634202"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11040-009-9056-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032320792", 
          "https://doi.org/10.1007/s11040-009-9056-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11040-010-9079-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032764230", 
          "https://doi.org/10.1007/s11040-010-9079-6"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2016-01-12", 
    "datePublishedReg": "2016-01-12", 
    "description": "In this paper we consider a model with nearest-neighbor interactions and with the set [0,\u00a01] of spin values, on the Cayley tree of order two. Translational-invariant Gibbs measures for the model investigated by properties of positive fixed points of quadratic operators in the cone of R2\\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$$\\mathbb {R}^{2}$$\\end{document}. In the last section it is constructed kernels for the Hammerstien\u2019s integral operator, which there exists two and three positive fixed points.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/s11117-015-0394-9", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1134502", 
        "issn": [
          "1385-1292", 
          "1572-9281"
        ], 
        "name": "Positivity", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "4", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "20"
      }
    ], 
    "keywords": [
      "measures", 
      "model", 
      "last section", 
      "interaction", 
      "point", 
      "two", 
      "set", 
      "operators", 
      "paper", 
      "values", 
      "sections", 
      "properties", 
      "kernel", 
      "cone", 
      "trees", 
      "Gibbs measures", 
      "integral operators", 
      "quadratic operators", 
      "nearest-neighbor interactions", 
      "spin values", 
      "Cayley tree", 
      "order two", 
      "Translational-invariant Gibbs measures", 
      "Hammerstien\u2019s integral operator"
    ], 
    "name": "Positive fixed points of quadratic operators and Gibbs measures", 
    "pagination": "929-943", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1021291692"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s11117-015-0394-9"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s11117-015-0394-9", 
      "https://app.dimensions.ai/details/publication/pub.1021291692"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2021-12-01T19:36", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20211201/entities/gbq_results/article/article_705.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/s11117-015-0394-9"
  }
]
 

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/s11117-015-0394-9'

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/s11117-015-0394-9'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11117-015-0394-9'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11117-015-0394-9'


 

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

147 TRIPLES      22 PREDICATES      61 URIs      41 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s11117-015-0394-9 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 anzsrc-for:0102
4 schema:author Nd0d36f19033c4165a868bc353f3ddf21
5 schema:citation sg:pub.10.1007/bf02179399
6 sg:pub.10.1007/bf02634109
7 sg:pub.10.1007/bf02634202
8 sg:pub.10.1007/s10955-012-0494-x
9 sg:pub.10.1007/s11005-005-0032-8
10 sg:pub.10.1007/s11040-009-9056-0
11 sg:pub.10.1007/s11040-010-9079-6
12 sg:pub.10.1007/s11040-012-9118-6
13 sg:pub.10.1007/s11040-014-9158-1
14 sg:pub.10.1023/b:ques.0000021149.43343.05
15 sg:pub.10.1134/s1995080213030050
16 schema:datePublished 2016-01-12
17 schema:datePublishedReg 2016-01-12
18 schema:description In this paper we consider a model with nearest-neighbor interactions and with the set [0, 1] of spin values, on the Cayley tree of order two. Translational-invariant Gibbs measures for the model investigated by properties of positive fixed points of quadratic operators in the cone of R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}^{2}$$\end{document}. In the last section it is constructed kernels for the Hammerstien’s integral operator, which there exists two and three positive fixed points.
19 schema:genre article
20 schema:inLanguage en
21 schema:isAccessibleForFree false
22 schema:isPartOf Na1564a0c1f2347f68a1c06bbfe04ff45
23 Nabae875cce1e4587b7673346c2488b24
24 sg:journal.1134502
25 schema:keywords Cayley tree
26 Gibbs measures
27 Hammerstien’s integral operator
28 Translational-invariant Gibbs measures
29 cone
30 integral operators
31 interaction
32 kernel
33 last section
34 measures
35 model
36 nearest-neighbor interactions
37 operators
38 order two
39 paper
40 point
41 properties
42 quadratic operators
43 sections
44 set
45 spin values
46 trees
47 two
48 values
49 schema:name Positive fixed points of quadratic operators and Gibbs measures
50 schema:pagination 929-943
51 schema:productId N0947e28529fe4ddaaa9c947f44b8d3cc
52 Na29210f1c59b4f8182fe6ab191167bcc
53 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021291692
54 https://doi.org/10.1007/s11117-015-0394-9
55 schema:sdDatePublished 2021-12-01T19:36
56 schema:sdLicense https://scigraph.springernature.com/explorer/license/
57 schema:sdPublisher Na951cc2f23de4252a83d60853f02fcac
58 schema:url https://doi.org/10.1007/s11117-015-0394-9
59 sgo:license sg:explorer/license/
60 sgo:sdDataset articles
61 rdf:type schema:ScholarlyArticle
62 N0947e28529fe4ddaaa9c947f44b8d3cc schema:name dimensions_id
63 schema:value pub.1021291692
64 rdf:type schema:PropertyValue
65 N6eb4b75d7517479d893ddf83324794a0 rdf:first sg:person.016676576704.47
66 rdf:rest Neecc251c9e254505b088db9452b357dd
67 Na1564a0c1f2347f68a1c06bbfe04ff45 schema:volumeNumber 20
68 rdf:type schema:PublicationVolume
69 Na29210f1c59b4f8182fe6ab191167bcc schema:name doi
70 schema:value 10.1007/s11117-015-0394-9
71 rdf:type schema:PropertyValue
72 Na951cc2f23de4252a83d60853f02fcac schema:name Springer Nature - SN SciGraph project
73 rdf:type schema:Organization
74 Nabae875cce1e4587b7673346c2488b24 schema:issueNumber 4
75 rdf:type schema:PublicationIssue
76 Nd0d36f19033c4165a868bc353f3ddf21 rdf:first sg:person.015547714741.65
77 rdf:rest N6eb4b75d7517479d893ddf83324794a0
78 Neecc251c9e254505b088db9452b357dd rdf:first sg:person.015457756641.48
79 rdf:rest rdf:nil
80 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
81 schema:name Mathematical Sciences
82 rdf:type schema:DefinedTerm
83 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
84 schema:name Pure Mathematics
85 rdf:type schema:DefinedTerm
86 anzsrc-for:0102 schema:inDefinedTermSet anzsrc-for:
87 schema:name Applied Mathematics
88 rdf:type schema:DefinedTerm
89 sg:journal.1134502 schema:issn 1385-1292
90 1572-9281
91 schema:name Positivity
92 schema:publisher Springer Nature
93 rdf:type schema:Periodical
94 sg:person.015457756641.48 schema:affiliation grid-institutes:grid.23471.33
95 schema:familyName Haydarov
96 schema:givenName Farhod Halimjonovich
97 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015457756641.48
98 rdf:type schema:Person
99 sg:person.015547714741.65 schema:affiliation grid-institutes:grid.23471.33
100 schema:familyName Eshkabilov
101 schema:givenName Yusup Khalbaevich
102 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015547714741.65
103 rdf:type schema:Person
104 sg:person.016676576704.47 schema:affiliation grid-institutes:grid.77268.3c
105 schema:familyName Nodirov
106 schema:givenName Shohruh Dilmurodovich
107 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016676576704.47
108 rdf:type schema:Person
109 sg:pub.10.1007/bf02179399 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029115716
110 https://doi.org/10.1007/bf02179399
111 rdf:type schema:CreativeWork
112 sg:pub.10.1007/bf02634109 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000760297
113 https://doi.org/10.1007/bf02634109
114 rdf:type schema:CreativeWork
115 sg:pub.10.1007/bf02634202 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042152983
116 https://doi.org/10.1007/bf02634202
117 rdf:type schema:CreativeWork
118 sg:pub.10.1007/s10955-012-0494-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1033373089
119 https://doi.org/10.1007/s10955-012-0494-x
120 rdf:type schema:CreativeWork
121 sg:pub.10.1007/s11005-005-0032-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038943181
122 https://doi.org/10.1007/s11005-005-0032-8
123 rdf:type schema:CreativeWork
124 sg:pub.10.1007/s11040-009-9056-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032320792
125 https://doi.org/10.1007/s11040-009-9056-0
126 rdf:type schema:CreativeWork
127 sg:pub.10.1007/s11040-010-9079-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032764230
128 https://doi.org/10.1007/s11040-010-9079-6
129 rdf:type schema:CreativeWork
130 sg:pub.10.1007/s11040-012-9118-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034464484
131 https://doi.org/10.1007/s11040-012-9118-6
132 rdf:type schema:CreativeWork
133 sg:pub.10.1007/s11040-014-9158-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020064246
134 https://doi.org/10.1007/s11040-014-9158-1
135 rdf:type schema:CreativeWork
136 sg:pub.10.1023/b:ques.0000021149.43343.05 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014082630
137 https://doi.org/10.1023/b:ques.0000021149.43343.05
138 rdf:type schema:CreativeWork
139 sg:pub.10.1134/s1995080213030050 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017764168
140 https://doi.org/10.1134/s1995080213030050
141 rdf:type schema:CreativeWork
142 grid-institutes:grid.23471.33 schema:alternateName National University of Uzbekistan, Tashkent, Uzbekistan
143 schema:name National University of Uzbekistan, Tashkent, Uzbekistan
144 rdf:type schema:Organization
145 grid-institutes:grid.77268.3c schema:alternateName Kazan Federal University, Kazan, Russia
146 schema:name Kazan Federal University, Kazan, Russia
147 rdf:type schema:Organization
 




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


...