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A necessary and sufficient condition for the existence of invariant Gibbs measures

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In this paper, we study a relation between the existence of invariant Gibbs measures and the balanced property of subshifts. We show that a subshift $X$ has an invariant Gibbs measure for $f\in C\left(X,\mathbb{R}\right)$ if and only if it is balanced with respect to $f$.

Abstract

In this paper, we study a relation between the existence of invariant Gibbs measures and the balanced property of subshifts. We show that a subshift $X$ has an invariant Gibbs measure for $f\in C\left(X,\mathbb{R}\right)$ if and only if it is balanced with respect to $f$.

참고문헌 (13)

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