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

Robinson, E.; Şahin, Ayşe

Mixing properties of nearly maximal entropy measures for

ℤ^{d}

shifts of finite type

Robinson, E. ; Şahin, Ayşe

Colloquium Mathematicae, Tome 84/85 (2000), p. 43-50 / Harvested from The Polish Digital Mathematics Library

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Résumé

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.

Publié le : 2000-01-01

Zbl 0969.28009

EUDML-ID : urn:eudml:doc:210807

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     title = {Mixing properties of nearly maximal entropy measures for $$\mathbb{Z}$^{d}$ shifts of finite type},
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     volume = {84/85},
     year = {2000},
     pages = {43-50},
     zbl = {0969.28009},
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Robinson, E.; Şahin, Ayşe. Mixing properties of nearly maximal entropy measures for $ℤ^{d}$ shifts of finite type. Colloquium Mathematicae, Tome 84/85 (2000) pp. 43-50. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i1p43bwm/

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