Geodesic
Mixing properties of nearly maximal entropy measures for $ℤ^{d}$ shifts of finite type
Colloquium Mathematicum, Tome 84 (2000) no. 1, pp. 43-50.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm-84/85-1-43-50
Keywords: entropy, ergodic theory, symbolic dynamics, $ℤ^{d$ actions

E. Robinson 1 ; Ayşe Şahin 1

1 
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E. Robinson; Ayşe Şahin. Mixing properties of nearly maximal entropy measures for $ℤ^{d}$ shifts of finite type. Colloquium Mathematicum, Tome 84 (2000) no. 1, pp. 43-50. doi : 10.4064/cm-84/85-1-43-50. http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-1-43-50/

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