Title

Entropy for Symbolic Dynamics with Overlapping Alphabets

Roles

Student author: Fabio Drucker

Document Type

Article

Publication Date

5-2016

Department

Mathematics

Language

English

Publication Title

Journal of Dynamics and Differential Equations

Abstract

We consider shift spaces in which elements of the alphabet may overlap nontransitively. We define a notion of entropy for such spaces and show that it is equal to a limit of entropies of standard (non-overlapping) shifts when the underlying shift is of finite type. When a shift space with overlaps arises as a model for a discrete dynamical system with a finite set of overlapping neighborhoods, the entropy gives a lower bound for the topological entropy of the dynamical system.

Comments

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DOI

10.1007/s10884-016-9535-5

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