{"id":"https://openalex.org/W2333637142","doi":"https://doi.org/10.1142/s0218127416500541","title":"On the Iteration Properties of Large Deviations Theorem","display_name":"On the Iteration Properties of Large Deviations Theorem","publication_year":2016,"publication_date":"2016-03-01","ids":{"openalex":"https://openalex.org/W2333637142","doi":"https://doi.org/10.1142/s0218127416500541","mag":"2333637142"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127416500541","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416500541","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5038766719","display_name":"Xinxing Wu","orcid":"https://orcid.org/0000-0002-4242-9628"},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinxing Wu","raw_affiliation_strings":["School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, P. R. China","institution_ids":["https://openalex.org/I165745306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100359247","display_name":"Xiong Wang","orcid":"https://orcid.org/0000-0002-8683-4043"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]},{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Xiong Wang","raw_affiliation_strings":["Institute for Advanced Study, Shenzhen University, Nanshan District Shenzhen, Guangdong 518060, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study, Shenzhen University, Nanshan District Shenzhen, Guangdong 518060, P. R. China","institution_ids":["https://openalex.org/I180726961","https://openalex.org/I40036882"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100359247"],"corresponding_institution_ids":["https://openalex.org/I180726961","https://openalex.org/I40036882"],"apc_list":null,"apc_paid":null,"fwci":10.6357,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.99141213,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"26","issue":"03","first_page":"1650054","last_page":"1650054"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9990000128746033,"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":0.9990000128746033,"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/T10244","display_name":"Chaos control and synchronization","score":0.9753999710083008,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9388999938964844,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.8579224348068237},{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.8359576463699341},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7641344666481018},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5282689332962036},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5149427056312561},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48506513237953186},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4708143174648285},{"id":"https://openalex.org/keywords/stationary-ergodic-process","display_name":"Stationary ergodic process","score":0.44781258702278137},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35339921712875366},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33430543541908264},{"id":"https://openalex.org/keywords/invariant-measure","display_name":"Invariant measure","score":0.17102059721946716},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14161458611488342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08083966374397278},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07609477639198303},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05668973922729492}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.8579224348068237},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.8359576463699341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7641344666481018},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5282689332962036},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5149427056312561},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48506513237953186},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4708143174648285},{"id":"https://openalex.org/C151424130","wikidata":"https://www.wikidata.org/wiki/Q17123911","display_name":"Stationary ergodic process","level":4,"score":0.44781258702278137},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35339921712875366},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33430543541908264},{"id":"https://openalex.org/C115667082","wikidata":"https://www.wikidata.org/wiki/Q4200518","display_name":"Invariant measure","level":3,"score":0.17102059721946716},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14161458611488342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08083966374397278},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07609477639198303},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05668973922729492},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127416500541","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416500541","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1125985694","https://openalex.org/W1522167719","https://openalex.org/W1596371866","https://openalex.org/W1964499572","https://openalex.org/W1985078625","https://openalex.org/W1989722359","https://openalex.org/W1999981132","https://openalex.org/W2003541147","https://openalex.org/W2011584604","https://openalex.org/W2033701807","https://openalex.org/W2040072252","https://openalex.org/W2045412537","https://openalex.org/W2051024411","https://openalex.org/W2054264554","https://openalex.org/W2079528532","https://openalex.org/W2083888232","https://openalex.org/W2090053408","https://openalex.org/W2315759974","https://openalex.org/W4231009334","https://openalex.org/W4246431058","https://openalex.org/W4256081943"],"related_works":["https://openalex.org/W964575223","https://openalex.org/W2128867967","https://openalex.org/W124275629","https://openalex.org/W4239510212","https://openalex.org/W2136727990","https://openalex.org/W2009962825","https://openalex.org/W1978422431","https://openalex.org/W2018937527","https://openalex.org/W2109742732","https://openalex.org/W931243215"],"abstract_inverted_index":{"An":[0],"important":[1],"feature":[2],"of":[3,5,27,65],"chaoticity":[4],"a":[6,25,37],"dynamical":[7],"system":[8],"[Formula:":[9,40,45,58],"see":[10,41,46,59],"text]":[11,42,47],"is":[12,57],"its":[13],"sensitive":[14],"dependence":[15],"on":[16],"initial":[17],"conditions,":[18],"which":[19],"has":[20],"recently":[21],"been":[22],"extended":[23],"to":[24],"concept":[26],"ergodic":[28,67],"sensitivity.":[29],"This":[30],"paper":[31],"proves":[32],"that":[33,44],"if":[34],"there":[35],"exists":[36],"positive":[38],"integer":[39],"such":[43],"satisfies":[48],"the":[49,62],"large":[50],"deviations":[51],"theorem":[52],"or":[53],"ergodicity,":[54],"then":[55],"so":[56],"text].":[60],"Moreover,":[61],"iteration":[63],"invariance":[64],"some":[66],"properties":[68],"are":[69],"obtained.":[70]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":5}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
