0381669 20240103201329.820121030235959.9 000305804600028 84867255590 10.3934/cpaa.2012.11.1361 23 s. cav_un_epca*02581111534-0392113 (2012)1361-1383AIMS Press return time distribution function entropy exponential distribution cav_un_auth*0254544 Grzegorek P. PL cav_un_auth*0219359 Kupsa Michal Stochastická informatika Department of Stochastic Informatics SI SI UTIA-B Department of Stochastic Informatics Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2012/SI/kupsa-0381669.pdf KJB100750901 GA AV ČR cav_un_auth*0253173 We construct a zero-entropy weakly mixing finite-valued process with the exponential limit law for return resp. hitting times. This limit law is obtained in almost every point, taking the limit along the full sequence of cylinders around the point. Till now, the exponential limit law for return resp. hitting times, taking the limit along the full sequence of cylinders, have been obtained only in positive-entropy processes satisfying some strong mixing conditions of Rosenblatt type. 2013 BA 2 4 A 4a 20231122135232.2 RVO:67985556 http://hdl.handle.net/11104/0212085 MATHEMATICS|MATHEMATICSAPPLIED 0.674 0.267 4.1 0.00503 0.62 490 131 20 1.111 25.16 0.59 Q1 48.764 42.934 Q3 Q2 2012 Soubory v repozitáři: kupsa-0381669.pdf 84867255590 SCOPUS 000305804600028 WOS cav_un_epca*0258111 Communications on Pure and Applied Analysis 1534-0392 1553-5258 Roč. 11 č. 3 2012 1361 1383 AIMS Press