{"id":"https://openalex.org/W2757244282","doi":"https://doi.org/10.1109/tit.2017.2757494","title":"The Shortest Possible Return Time of &lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$\\beta$ &lt;/tex-math&gt; &lt;/inline-formula&gt;-Mixing Processes","display_name":"The Shortest Possible Return Time of &lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$\\beta$ &lt;/tex-math&gt; &lt;/inline-formula&gt;-Mixing Processes","publication_year":2017,"publication_date":"2017-09-28","ids":{"openalex":"https://openalex.org/W2757244282","doi":"https://doi.org/10.1109/tit.2017.2757494","mag":"2757244282"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2757494","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2757494","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dx.doi.org/10.1109/TIT.2017.2757494","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071953201","display_name":"Miguel Abadi","orcid":null},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Miguel Abadi","raw_affiliation_strings":["Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, S\u00e3o Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028816034","display_name":"Sandro Gallo","orcid":"https://orcid.org/0000-0002-8910-0694"},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Sandro Gallo","raw_affiliation_strings":["Departamento de Estat\u00edstica, Universidade Federal de S\u00e3o Carlos, S\u00e3o Paulo, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-8910-0694","affiliations":[{"raw_affiliation_string":"Departamento de Estat\u00edstica, Universidade Federal de S\u00e3o Carlos, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I177909021"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038245652","display_name":"Erika Alejandra Rada-Mora","orcid":"https://orcid.org/0000-0002-6734-7696"},"institutions":[{"id":"https://openalex.org/I71715416","display_name":"Universidade Federal do ABC","ror":"https://ror.org/028kg9j04","country_code":"BR","type":"education","lineage":["https://openalex.org/I71715416"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Erika Alejandra Rada-Mora","raw_affiliation_strings":["Centro de matem\u00e1tica, computa\u00e7\u00e3o e cogni\u00e7\u00e3o, Universidade de Federal do ABC, S\u00e3o Bernardo do Campo, S\u00e3o Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de matem\u00e1tica, computa\u00e7\u00e3o e cogni\u00e7\u00e3o, Universidade de Federal do ABC, S\u00e3o Bernardo do Campo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I71715416"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5071953201"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":null,"apc_paid":null,"fwci":1.1186,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75351435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"64","issue":"7","first_page":"4895","last_page":"4906"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994999766349792,"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":0.9994999766349792,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9760000109672546,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9751999974250793,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7806428670883179},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4941904842853546},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.4842097759246826},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.4249551296234131},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40851569175720215},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11282527446746826}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7806428670883179},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4941904842853546},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.4842097759246826},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.4249551296234131},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40851569175720215},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11282527446746826},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2017.2757494","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2757494","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:002911265","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/TIT.2017.2757494","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:002911265","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/TIT.2017.2757494","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G143671295","display_name":null,"funder_award_id":"2015/09094-3","funder_id":"https://openalex.org/F4320323678","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Ci\u00eancia e Tecnologia do Estado de Pernambuco"},{"id":"https://openalex.org/G2259845805","display_name":null,"funder_award_id":"2013/07699-0","funder_id":"https://openalex.org/F4320323678","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Ci\u00eancia e Tecnologia do Estado de Pernambuco"},{"id":"https://openalex.org/G5436892015","display_name":null,"funder_award_id":"480108/2012-9","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G601576599","display_name":null,"funder_award_id":"462064/2014-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G6334681569","display_name":null,"funder_award_id":"312315/2015-5","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320323678","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Ci\u00eancia e Tecnologia do Estado de Pernambuco","ror":"https://ror.org/02te5rf52"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W126045834","https://openalex.org/W1497651799","https://openalex.org/W1498335665","https://openalex.org/W1561382872","https://openalex.org/W1834213481","https://openalex.org/W1977911991","https://openalex.org/W1980313609","https://openalex.org/W1991956002","https://openalex.org/W2009298356","https://openalex.org/W2019355303","https://openalex.org/W2035730653","https://openalex.org/W2041888229","https://openalex.org/W2043683123","https://openalex.org/W2047306036","https://openalex.org/W2050190395","https://openalex.org/W2057503313","https://openalex.org/W2060055116","https://openalex.org/W2060590556","https://openalex.org/W2063934154","https://openalex.org/W2068923229","https://openalex.org/W2073060334","https://openalex.org/W2075124387","https://openalex.org/W2075472522","https://openalex.org/W2096404661","https://openalex.org/W2100967164","https://openalex.org/W2101123485","https://openalex.org/W2103756638","https://openalex.org/W2105827181","https://openalex.org/W2130509588","https://openalex.org/W2132403748","https://openalex.org/W2152755776","https://openalex.org/W2162903155","https://openalex.org/W2247711539","https://openalex.org/W2255164922","https://openalex.org/W2313694876","https://openalex.org/W2333239913","https://openalex.org/W2502106810","https://openalex.org/W2593200176","https://openalex.org/W2623735432","https://openalex.org/W2962793148","https://openalex.org/W2964248028","https://openalex.org/W3009383989","https://openalex.org/W3100047228","https://openalex.org/W3102602186","https://openalex.org/W3105422891","https://openalex.org/W4205511125","https://openalex.org/W4231199984","https://openalex.org/W4245793002","https://openalex.org/W6605157057","https://openalex.org/W6638464235","https://openalex.org/W6690973381","https://openalex.org/W6691786974","https://openalex.org/W6738963513"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"We":[0,9,83],"consider":[1],"a":[2,6,34,59,80,98],"stochastic":[3],"process":[4,28,36],"and":[5,40,104,122],"given":[7],"n-string.":[8],"study":[10],"the":[11,21,25,46,50,66,71,74,101,105,112,117],"shortest":[12,17,102],"possible":[13],"return":[14,18,55,103],"time":[15],"(or":[16],"path)":[19],"of":[20,27,45,52,73,76,111,120],"string":[22],"over":[23],"all":[24],"realizations":[26],"starting":[29],"from":[30],"this":[31,53,77,93],"string.":[32],"For":[33],"\u03b2-mixing":[35],"having":[37],"complete":[38],"grammar,":[39],"for":[41],"each":[42],"size":[43],"n":[44],"strings,":[47],"we":[48,69,96],"approximate":[49],"distribution":[51,78],"short":[54],"(properly":[56],"re-scaled)":[57],"by":[58],"non-degenerated":[60,81],"distribution.":[61,82],"Under":[62],"mild":[63],"conditions":[64],"on":[65],"\u03b2":[67],"coefficients,":[68],"prove":[70,85],"existence":[72],"limit":[75],"to":[79,91],"also":[84],"that":[86,109],"ergodicity":[87],"is":[88],"not":[89],"enough":[90],"guaranty":[92],"convergence.":[94],"Finally,":[95],"present":[97],"connection":[99],"between":[100],"Shannon":[106],"entropy,":[107],"showing":[108],"maximum":[110],"re-scaled":[113],"variables":[114],"grow":[115],"as":[116],"matching":[118],"function":[119],"Wyner":[121],"Ziv.":[123]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
