On the selection of subaction and measure for a subclass of potentials defined by P. Walters (Q2873988)
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scientific article; zbMATH DE number 6251083
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the selection of subaction and measure for a subclass of potentials defined by P. Walters |
scientific article; zbMATH DE number 6251083 |
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On the selection of subaction and measure for a subclass of potentials defined by P. Walters (English)
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28 January 2014
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limit probability
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maximizing probability
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statistical mechanics
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Gibbs states
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invariant measure
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One of the main purpose of this paper is to find sufficient conditions to insure the existence of a weak limit probability \(\mu=\lim_{t\to\infty} \mu_t\), where \(\mu_t= h_t\nu_t\) denotes the Gibbs state for the potential \(tf\), where \(f:\{0,1\}^\mathbb{N}\to\mathbb{R}^n\) and \(t\geq 0\). The authors focuss on the case when the maximizing probability is not unique. Analysis of the eigenfunctions and a selection of a subaction are performed, besides other things, for this goal.
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