Non-uniqueness of measures of maximal entropy for subshifts of finite type-Reference-Cited by-同舟云学术

Non-uniqueness of measures of maximal entropy for subshifts of finite type

Published:1994-06 Issue:2 Volume:14 Page:213-235
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Burton Robert,Steif Jeffrey E.

Abstract

AbstractIt is known that in one dimension an irreducible subshift of finite type has a unique measure of maximal entropy, the so-called Parry measure. Here we give a counterexample to this in higher dimensions. For this example, we also describe the geometric structure of the measures of maximal entropy and show that there are exactly two extremal measures.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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