Work

Exponential return times in a zero-entropy process

Year: 2011

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1101.1828

Authors: Grzegorek, Paulina, Kupsa, Michal

Institutions: Wrocław University of Science and Technology, Czech Academy of Sciences, Czech Academy of Sciences, Institute of Information Theory and Automation

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4300545519

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