{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T12:29:08Z","timestamp":1770553748763,"version":"3.49.0"},"reference-count":42,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"7","license":[{"start":{"date-parts":[[2018,7,1]],"date-time":"2018-07-01T00:00:00Z","timestamp":1530403200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100006162","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Ci\u00eancia e Tecnologia do Estado de Pernambuco","doi-asserted-by":"publisher","award":["2013\/07699-0"],"award-info":[{"award-number":["2013\/07699-0"]}],"id":[{"id":"10.13039\/501100006162","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["480108\/2012-9"],"award-info":[{"award-number":["480108\/2012-9"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["462064\/2014-0"],"award-info":[{"award-number":["462064\/2014-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100006162","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Ci\u00eancia e Tecnologia do Estado de Pernambuco","doi-asserted-by":"publisher","award":["2015\/09094-3"],"award-info":[{"award-number":["2015\/09094-3"]}],"id":[{"id":"10.13039\/501100006162","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["312315\/2015-5"],"award-info":[{"award-number":["312315\/2015-5"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2018,7]]},"DOI":"10.1109\/tit.2017.2757494","type":"journal-article","created":{"date-parts":[[2017,9,28]],"date-time":"2017-09-28T18:14:15Z","timestamp":1506622455000},"page":"4895-4906","source":"Crossref","is-referenced-by-count":4,"title":["The Shortest Possible Return Time of &lt;inline-formula&gt; \n                     &lt;tex-math notation=\"LaTeX\"&gt;$\\beta$ &lt;\/tex-math&gt;\n                  &lt;\/inline-formula&gt;-Mixing Processes"],"prefix":"10.1109","volume":"64","author":[{"given":"Miguel","family":"Abadi","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8910-0694","authenticated-orcid":false,"given":"Sandro","family":"Gallo","sequence":"additional","affiliation":[]},{"given":"Erika Alejandra","family":"Rada-Mora","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","first-page":"331","article-title":"Statistical properties of long return times in type I intermittency","volume":"7","author":"stefano","year":"1995","journal-title":"Forum Math"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/BF01066715"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385700009706"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511566097"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1023\/A:1022610816550"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/18.669425"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1051\/ps:1997100"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1023\/A:1013710422755"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.4213\/tvp1566"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/18.179344"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s10959-008-0199-x"},{"key":"ref40","first-page":"223","article-title":"Poisson approximation for search of rare words in DNA sequences","volume":"4","author":"vergne","year":"2008","journal-title":"Latin American Journal of Probability and Mathematical Statistics"},{"key":"ref11","first-page":"263","article-title":"Pointwise dimensions for Poincar&#x00E9; recurrences associated with maps and special flows","volume":"9","author":"afraimovich","year":"2003","journal-title":"Discrete Continuous Dyn Syst"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/BF00569992"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-77695-6"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1214\/154957805100000104"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/BF01010826"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"565","DOI":"10.3934\/dcdsb.2005.5.565","article-title":"Entropy estimation and fluctuations of hitting and recurrence times for Gibbsian sources","volume":"5","author":"chazottes","year":"2005","journal-title":"Discrete Contin Dyn Syst Ser B"},{"key":"ref17","first-page":"123","article-title":"Asymptotic laws for symbolic dynamical systems","volume":"279","author":"coelho","year":"2000","journal-title":"Topics in Symbolic Dynamics and Applications"},{"key":"ref18","first-page":"319","article-title":"Unpredictability of the occurrence time of a long laminar period in a model of temporal intermittency","volume":"57","author":"collet","year":"1992","journal-title":"Ann de l&#x2019;I H P Phys Th&#x00E9;orique"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2642-0"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385700007513"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s00574-006-0030-1"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385709000030"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1078415835"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-015-1216-y"},{"key":"ref29","first-page":"44:1","article-title":"Periods and borders of random words","volume":"47","author":"holub","year":"2016","journal-title":"Proc Symp Theoretical Aspects of Computer Science (STACS)"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2406695"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2010.11.001"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/26\/5\/1143"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1017\/etds.2017.114"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"729","DOI":"10.3934\/dcds.2008.21.729","article-title":"Large deviations for short recurrence","volume":"21","author":"abadi","year":"2008","journal-title":"Discrete Continuous Dyn Syst"},{"key":"ref1","first-page":"97","article-title":"Inequalities for the occurrence times of rare events in mixing processes. The state of the art","volume":"7","author":"abadi","year":"2001","journal-title":"Markov Process Rel Fields"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-010-0096-4"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-013-1695-0"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2012.07.029"},{"key":"ref42","article-title":"String matching theorems and applications to data compression and statistics","author":"wyner","year":"1993"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1145\/1255443.1255448"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/18.45281"},{"key":"ref23","first-page":"337","article-title":"Inequalities for hitting times in mixing dynamical systems","volume":"5","author":"galves","year":"1997","journal-title":"Random and Computational Dynamics"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1080\/14689367.2013.822459"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1214\/009117905000000242"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/8392475\/08052545.pdf?arnumber=8052545","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:23:09Z","timestamp":1642004589000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8052545\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,7]]},"references-count":42,"journal-issue":{"issue":"7"},"URL":"https:\/\/doi.org\/10.1109\/tit.2017.2757494","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,7]]}}}