{"id":"https://openalex.org/W2039315487","doi":"https://doi.org/10.1016/s0096-3003(01)00068-6","title":"Recurrence of transformations with absolutely continuous invariant measures","display_name":"Recurrence of transformations with absolutely continuous invariant measures","publication_year":2002,"publication_date":"2002-07-01","ids":{"openalex":"https://openalex.org/W2039315487","doi":"https://doi.org/10.1016/s0096-3003(01)00068-6","mag":"2039315487"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(01)00068-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(01)00068-6","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-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/A5070400970","display_name":"Geon Ho Choe","orcid":null},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Geon Ho Choe","raw_affiliation_strings":["Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yusong-gu, Taejon 305-701, Republic of Korea","Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yusong-gu, Taejon 305-701, Republic of Korea#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yusong-gu, Taejon 305-701, Republic of Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yusong-gu, Taejon 305-701, Republic of Korea#TAB#","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070400970"],"corresponding_institution_ids":["https://openalex.org/I157485424"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.9535,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71060507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"129","issue":"2-3","first_page":"501","last_page":"516"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9998000264167786,"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":0.9998000264167786,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9474999904632568,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9314000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/absolute-continuity","display_name":"Absolute continuity","score":0.8204445838928223},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.7956277132034302},{"id":"https://openalex.org/keywords/invariant-measure","display_name":"Invariant measure","score":0.7017080783843994},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6488457918167114},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5272349715232849},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4886973202228546},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48484718799591064},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.48012566566467285},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.4471486210823059},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34291720390319824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3170028328895569},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.19345849752426147},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.10425737500190735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08965396881103516}],"concepts":[{"id":"https://openalex.org/C118733216","wikidata":"https://www.wikidata.org/wiki/Q332504","display_name":"Absolute continuity","level":2,"score":0.8204445838928223},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.7956277132034302},{"id":"https://openalex.org/C115667082","wikidata":"https://www.wikidata.org/wiki/Q4200518","display_name":"Invariant measure","level":3,"score":0.7017080783843994},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6488457918167114},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5272349715232849},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4886973202228546},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48484718799591064},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.48012566566467285},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.4471486210823059},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34291720390319824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3170028328895569},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.19345849752426147},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.10425737500190735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08965396881103516},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(01)00068-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(01)00068-6","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W590481304","https://openalex.org/W2031155268","https://openalex.org/W2039100300","https://openalex.org/W2039700245","https://openalex.org/W2041441442","https://openalex.org/W2058675692","https://openalex.org/W2128192154","https://openalex.org/W2315107434","https://openalex.org/W3038928148","https://openalex.org/W3109381375","https://openalex.org/W3152478022","https://openalex.org/W4205591631","https://openalex.org/W4231009334","https://openalex.org/W6617606524"],"related_works":["https://openalex.org/W2134654202","https://openalex.org/W2057711290","https://openalex.org/W4298162610","https://openalex.org/W3048177030","https://openalex.org/W2070293309","https://openalex.org/W2950551861","https://openalex.org/W4300889323","https://openalex.org/W2026069322","https://openalex.org/W2273535838","https://openalex.org/W4386907145"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}