Exponential return times in a zero-entropy process

Details Exponential return times in a zero-entropy process Exponential return times in a zero-entropy process

2011-01-10

arxiv.org/abs/1101.1828v1

Mathematics

Dynamical Systems

Scientific paper

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 Rossenblatt type.

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