Exponential return times in a zero-entropy process

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00381669" target="_blank" >RIV/67985556:_____/12:00381669 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/cpaa.2012.11.1361" target="_blank" >http://dx.doi.org/10.3934/cpaa.2012.11.1361</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/cpaa.2012.11.1361" target="_blank" >10.3934/cpaa.2012.11.1361</a>

Result language
angličtina
Original language name
Exponential return times in a zero-entropy process
Original language description
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. Tillnow, 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.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/KJB100750901" target="_blank" >KJB100750901: Typical return times in dynamical systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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