{"id":"https://openalex.org/W2098081736","doi":"https://doi.org/10.1109/icpr.2008.4761443","title":"Generalized criteria for uniqueness of Gibbs measures","display_name":"Generalized criteria for uniqueness of Gibbs measures","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2098081736","doi":"https://doi.org/10.1109/icpr.2008.4761443","mag":"2098081736"},"language":"en","primary_location":{"id":"doi:10.1109/icpr.2008.4761443","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2008.4761443","pdf_url":null,"source":{"id":"https://openalex.org/S4393916651","display_name":"Proceedings - International Conference on Pattern Recognition/Proceedings/International Conference on Pattern Recognition","issn_l":"1041-3278","issn":["1041-3278","1051-4651"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 19th International Conference on Pattern Recognition","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102963273","display_name":"Hongbo Zhou","orcid":"https://orcid.org/0000-0002-7007-9477"},"institutions":[{"id":"https://openalex.org/I4210160154","display_name":"Chemical Semantics (United States)","ror":"https://ror.org/04qca6973","country_code":"US","type":"company","lineage":["https://openalex.org/I4210160154"]},{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"funder","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Hongbo Zhou","raw_affiliation_strings":["Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education, China","Key Lab. of Math., Inf. & Behavioral Semantics, Minist. of Educ., Beijing"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"Key Lab. of Math., Inf. & Behavioral Semantics, Minist. of Educ., Beijing","institution_ids":["https://openalex.org/I4210160154"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112478420","display_name":"Zhiming Zheng","orcid":null},"institutions":[{"id":"https://openalex.org/I4210160154","display_name":"Chemical Semantics (United States)","ror":"https://ror.org/04qca6973","country_code":"US","type":"company","lineage":["https://openalex.org/I4210160154"]},{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"funder","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Zhiming Zheng","raw_affiliation_strings":["Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education, China","Key Lab. of Math., Inf. & Behavioral Semantics, Minist. of Educ., Beijing"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"Key Lab. of Math., Inf. & Behavioral Semantics, Minist. of Educ., Beijing","institution_ids":["https://openalex.org/I4210160154"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102963273"],"corresponding_institution_ids":["https://openalex.org/I1327237609","https://openalex.org/I4210160154"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.44444444,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.918119490146637},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6232949495315552},{"id":"https://openalex.org/keywords/gibbs-measure","display_name":"Gibbs measure","score":0.603906512260437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5906334519386292},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5573067665100098},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5552875399589539},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.5305882692337036},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.48120763897895813},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.41538047790527344},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38605910539627075},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3593444228172302},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32565268874168396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3096492290496826},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1243109405040741},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10719585418701172},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10317739844322205}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.918119490146637},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6232949495315552},{"id":"https://openalex.org/C158444337","wikidata":"https://www.wikidata.org/wiki/Q2510435","display_name":"Gibbs measure","level":2,"score":0.603906512260437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5906334519386292},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5573067665100098},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5552875399589539},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.5305882692337036},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.48120763897895813},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.41538047790527344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38605910539627075},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3593444228172302},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32565268874168396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3096492290496826},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1243109405040741},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10719585418701172},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10317739844322205},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icpr.2008.4761443","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2008.4761443","pdf_url":null,"source":{"id":"https://openalex.org/S4393916651","display_name":"Proceedings - International Conference on Pattern Recognition/Proceedings/International Conference on Pattern Recognition","issn_l":"1041-3278","issn":["1041-3278","1051-4651"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 19th International Conference on Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.942","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://figment.cse.usf.edu/~sfefilat/data/papers/TuAT3.4.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1977155350","https://openalex.org/W2055649245","https://openalex.org/W2140422174","https://openalex.org/W2163310340","https://openalex.org/W2807232057","https://openalex.org/W2994982620","https://openalex.org/W4205240937","https://openalex.org/W4250460511","https://openalex.org/W6752562311","https://openalex.org/W6771369255"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W2340777379","https://openalex.org/W4298023222","https://openalex.org/W2611574177"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,13,21,25,70],"uniqueness":[3,61],"of":[4,24,37,48,62,69],"Gibbs":[5,63],"measures":[6],"constructed":[7],"on":[8],"infinite":[9],"graphs,":[10],"in":[11],"which":[12],"vertexes":[14],"admit":[15],"certain":[16],"markov":[17],"properties":[18,23],"related":[19],"to":[20,39,43,50],"connectivity":[22],"graphs.":[26],"Inspired":[27],"by":[28,54],"Weitz":[29],"and":[30],"Winklerpsilas":[31],"work,":[32],"we":[33],"generalize":[34],"Dobrushinpsilas":[35],"influence":[36],"site":[38,40],"via":[41,52],"sites":[42],"a":[44,66],"more":[45],"general":[46],"form":[47],"block":[49,51],"blocks":[53],"path":[55],"coupling":[56],"technique.":[57],"Our":[58],"condition":[59],"for":[60],"measure,":[64],"is":[65],"mathematical":[67],"statement":[68],"spatial":[71],"correlation":[72],"decay":[73],"conjecture.":[74]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
