Exponential return times in a zero-entropy process

Grzegorek P.; Kupsa M.

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Exponential return times in a zero-entropy process

机译：零熵过程中的指数返回时间

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摘要

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.

机译：我们构造了一个零熵的弱混合有限值过程，该过程具有指数极限律，用于回报。打时间。几乎在每个点上都会获得此极限定律，并沿该点周围的整个圆柱序列取极限。到现在为止，收益极限的指数极限法则。仅在满足某些Rosenblatt型强混合条件的正熵过程中，获得了沿整个圆柱序列的极限的击中时间。

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《Communications on pure and applied analysis》 |2012年第3期|共23页
作者
Grzegorek P.; Kupsa M.;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Distribution function; Entropy; Exponential distribution; Return time;

机译：分布函数;熵;指数分布;返回时间;

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Exponential return times in a zero-entropy process

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