Mixing properties of nearly maximal entropy measures for $ℤ^{d}$ shifts of finite type

E. Robinson; Ayşe Şahin

ArticleOriginal scientific text

Title

Mixing properties of nearly maximal entropy measures for $ℤ^{d}$ shifts of finite type

Authors ¹, ²

Affiliations

Department of Mathematics, George Washington University, Washington, DC 20052, U.S.A.
Department of Mathematics, North Dakota State University, Fargo, ND 58105, U.S.A.

Abstract

We prove that for a certain class of

ℤ^{d}

shifts of finite type with positive topological entropy there is always an invariant measure, with entropy arbitrarily close to the topological entropy, that has strong metric mixing properties. With the additional assumption that there are dense periodic orbits, one can ensure that this measure is Bernoulli.

Keywords

ENG

entropy, ergodic theory, symbolic dynamics,

ℤ^{d}

actions

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Title

Mixing properties of nearly maximal entropy measures for ℤd shifts of finite type

Affiliations

Abstract

Keywords

Bibliography

Mixing properties of nearly maximal entropy measures for $ℤ^{d}$ shifts of finite type