Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1986-03

AUTHORS

C. Kipnis, S. R. S. Varadhan

ABSTRACT

We prove a functional central limit theorem for additive functionals of stationary reversible ergodic Markov chains under virtually no assumptions other than the necessary ones. We use these results to study the asymptotic behavior of a tagged particle in an infinite particle system performing simple excluded random walk.

PAGES

1-19

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01210789

DOI

http://dx.doi.org/10.1007/bf01210789

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1048441557


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/2008/0104", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Statistics", 
        "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": "Centre de Math\u00e9matiques Appliqu\u00e9es", 
          "id": "https://www.grid.ac/institutes/grid.462265.1", 
          "name": [
            "Centre de Mathematiques Applique\u00e9s, Ecole Polytechnique, F-91128, Palaiseau, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Kipnis", 
        "givenName": "C.", 
        "id": "sg:person.011556403071.51", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011556403071.51"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Courant Institute of Mathematical Sciences", 
          "id": "https://www.grid.ac/institutes/grid.482020.c", 
          "name": [
            "Courant Institute, New York University, 10012, New York, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Varadhan", 
        "givenName": "S. R. S.", 
        "id": "sg:person.012652746377.67", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012652746377.67"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf01010870", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017221449", 
          "https://doi.org/10.1007/bf01010870"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01008323", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033643909", 
          "https://doi.org/10.1007/bf01008323"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aop/1176993602", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064404731"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1986-03", 
    "datePublishedReg": "1986-03-01", 
    "description": "We prove a functional central limit theorem for additive functionals of stationary reversible ergodic Markov chains under virtually no assumptions other than the necessary ones. We use these results to study the asymptotic behavior of a tagged particle in an infinite particle system performing simple excluded random walk.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf01210789", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136216", 
        "issn": [
          "0010-3616", 
          "1432-0916"
        ], 
        "name": "Communications in Mathematical Physics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "104"
      }
    ], 
    "name": "Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions", 
    "pagination": "1-19", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "e6c4555f54242673fa223c8a156659c11def59bf2430f4fbd37b4e9449a59e57"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf01210789"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1048441557"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf01210789", 
      "https://app.dimensions.ai/details/publication/pub.1048441557"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T13:31", 
    "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/v90/0000000370_0000000370/records_46757_00000002.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF01210789"
  }
]
 

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/bf01210789'

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/bf01210789'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01210789'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01210789'


 

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

82 TRIPLES      21 PREDICATES      30 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf01210789 schema:about anzsrc-for:01
2 anzsrc-for:0104
3 schema:author N91e9a2e4afff46bca37c11176cdf2565
4 schema:citation sg:pub.10.1007/bf01008323
5 sg:pub.10.1007/bf01010870
6 https://doi.org/10.1214/aop/1176993602
7 schema:datePublished 1986-03
8 schema:datePublishedReg 1986-03-01
9 schema:description We prove a functional central limit theorem for additive functionals of stationary reversible ergodic Markov chains under virtually no assumptions other than the necessary ones. We use these results to study the asymptotic behavior of a tagged particle in an infinite particle system performing simple excluded random walk.
10 schema:genre research_article
11 schema:inLanguage en
12 schema:isAccessibleForFree false
13 schema:isPartOf N6212034383934b2183b91b78d19671f3
14 N75ae88da444e4d05bea2522a39eda634
15 sg:journal.1136216
16 schema:name Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
17 schema:pagination 1-19
18 schema:productId N5d0155457fff4272acc1c5e845056a58
19 N713a5a2ee1a64b18a5fbde041632bc69
20 Na0cecc1eaad64d4191c8da253fe9679c
21 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048441557
22 https://doi.org/10.1007/bf01210789
23 schema:sdDatePublished 2019-04-11T13:31
24 schema:sdLicense https://scigraph.springernature.com/explorer/license/
25 schema:sdPublisher Nbfae5f4ceb65401aa9106c77842263dc
26 schema:url http://link.springer.com/10.1007/BF01210789
27 sgo:license sg:explorer/license/
28 sgo:sdDataset articles
29 rdf:type schema:ScholarlyArticle
30 N5d0155457fff4272acc1c5e845056a58 schema:name readcube_id
31 schema:value e6c4555f54242673fa223c8a156659c11def59bf2430f4fbd37b4e9449a59e57
32 rdf:type schema:PropertyValue
33 N6212034383934b2183b91b78d19671f3 schema:issueNumber 1
34 rdf:type schema:PublicationIssue
35 N713a5a2ee1a64b18a5fbde041632bc69 schema:name dimensions_id
36 schema:value pub.1048441557
37 rdf:type schema:PropertyValue
38 N75ae88da444e4d05bea2522a39eda634 schema:volumeNumber 104
39 rdf:type schema:PublicationVolume
40 N91e9a2e4afff46bca37c11176cdf2565 rdf:first sg:person.011556403071.51
41 rdf:rest Na8101cf7a6404fd6b92e50cba5b3d0c5
42 Na0cecc1eaad64d4191c8da253fe9679c schema:name doi
43 schema:value 10.1007/bf01210789
44 rdf:type schema:PropertyValue
45 Na8101cf7a6404fd6b92e50cba5b3d0c5 rdf:first sg:person.012652746377.67
46 rdf:rest rdf:nil
47 Nbfae5f4ceb65401aa9106c77842263dc schema:name Springer Nature - SN SciGraph project
48 rdf:type schema:Organization
49 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
50 schema:name Mathematical Sciences
51 rdf:type schema:DefinedTerm
52 anzsrc-for:0104 schema:inDefinedTermSet anzsrc-for:
53 schema:name Statistics
54 rdf:type schema:DefinedTerm
55 sg:journal.1136216 schema:issn 0010-3616
56 1432-0916
57 schema:name Communications in Mathematical Physics
58 rdf:type schema:Periodical
59 sg:person.011556403071.51 schema:affiliation https://www.grid.ac/institutes/grid.462265.1
60 schema:familyName Kipnis
61 schema:givenName C.
62 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011556403071.51
63 rdf:type schema:Person
64 sg:person.012652746377.67 schema:affiliation https://www.grid.ac/institutes/grid.482020.c
65 schema:familyName Varadhan
66 schema:givenName S. R. S.
67 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012652746377.67
68 rdf:type schema:Person
69 sg:pub.10.1007/bf01008323 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033643909
70 https://doi.org/10.1007/bf01008323
71 rdf:type schema:CreativeWork
72 sg:pub.10.1007/bf01010870 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017221449
73 https://doi.org/10.1007/bf01010870
74 rdf:type schema:CreativeWork
75 https://doi.org/10.1214/aop/1176993602 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064404731
76 rdf:type schema:CreativeWork
77 https://www.grid.ac/institutes/grid.462265.1 schema:alternateName Centre de Mathématiques Appliquées
78 schema:name Centre de Mathematiques Appliqueés, Ecole Polytechnique, F-91128, Palaiseau, France
79 rdf:type schema:Organization
80 https://www.grid.ac/institutes/grid.482020.c schema:alternateName Courant Institute of Mathematical Sciences
81 schema:name Courant Institute, New York University, 10012, New York, USA
82 rdf:type schema:Organization
 




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


...