{"id":"https://openalex.org/W2728344166","doi":"https://doi.org/10.1515/9781400887255-018","title":"Lecture 17. Existence of Local Manifolds. Gibbs Measures","display_name":"Lecture 17. Existence of Local Manifolds. Gibbs Measures","publication_year":2017,"publication_date":"2017-07-05","ids":{"openalex":"https://openalex.org/W2728344166","doi":"https://doi.org/10.1515/9781400887255-018","mag":"2728344166"},"language":"en","primary_location":{"id":"doi:10.1515/9781400887255-018","doi":"https://doi.org/10.1515/9781400887255-018","is_oa":false,"landing_page_url":"https://doi.org/10.1515/9781400887255-018","pdf_url":null,"source":{"id":"https://openalex.org/S4306463805","display_name":"Princeton University Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310316492","host_organization_name":"Princeton University Press","host_organization_lineage":["https://openalex.org/P4310316492"],"host_organization_lineage_names":["Princeton University Press"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Topics in Ergodic Theory (PMS-44)","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2731715226","display_name":"Topics in Ergodic Theory (PMS-44)"},"type":"book-chapter","is_traditional":true,"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/A5017620157","display_name":"\u042f\u043a\u043e\u0432 \u0413\u0440\u0438\u0433\u043e\u0440\u044c\u0435\u0432\u0438\u0447 \u0421\u0438\u043d\u0430\u0439","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Iakov Grigorevich Sinai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5017620157"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"194","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9810000061988831,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9810000061988831,"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/T13234","display_name":"p-Adic Analysis and Mathematical Physics","score":0.006000000052154064,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.0020000000949949026,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/gibbs-measures","display_name":"Gibbs measures","score":0.9079999923706055},{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"statistical mechanics","score":0.6510000228881836},{"id":"https://openalex.org/keywords/phase-transitions","display_name":"phase transitions","score":0.4650000035762787}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4300311803817749},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32989370822906494}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/9781400887255-018","doi":"https://doi.org/10.1515/9781400887255-018","is_oa":false,"landing_page_url":"https://doi.org/10.1515/9781400887255-018","pdf_url":null,"source":{"id":"https://openalex.org/S4306463805","display_name":"Princeton University Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310316492","host_organization_name":"Princeton University Press","host_organization_lineage":["https://openalex.org/P4310316492"],"host_organization_lineage_names":["Princeton University Press"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Topics in Ergodic Theory (PMS-44)","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4252123917","https://openalex.org/W2480744696","https://openalex.org/W2498136602","https://openalex.org/W73872808","https://openalex.org/W2488541520","https://openalex.org/W2492690006","https://openalex.org/W2561033442","https://openalex.org/W7100497861","https://openalex.org/W4210607201","https://openalex.org/W2599637222"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2017-07-14T00:00:00"}