منابع مشابه
Harmonicity of Gibbs Measures
In this paper we extend the construction of random walks with a prescribed Poisson boundary found in [CM04] to the case of measures in the class of a generalized Gibbs state. The price for dropping the α-quasiconformal assumptions is that we must restrict our attention to CAT(−κ) groups. Apart from the new estimates required, we prove a new approximation scheme to provide a positive basis for p...
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We prove that certain Gibbs measures on subshifts of finite type are nonsingular and ergodic for certain countable equivalence relations, including the orbit relation of the adic transformation (the same as equality after a permutation of finitely many coordinates). The relations we consider are defined by cocycles taking values in groups, including some nonabelian ones. This generalizes (half ...
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In this monograph, we survey some key issues of the theory of Gibbsian and non-Gibbsian measures in finite-spin lattice systems. While non-Gibbsian measures are truly only the object of the last chapter, the material of the first chapters is selected with generalized Gibbs measures in mind. The topics of Gibbsian theory are then chosen for their foundational or contrasting role with respect to ...
متن کاملErasure entropies and Gibbs measures
Recently Verdù and Weissman introduced erasure entropies, which are meant to measure the information carried by one or more symbols given all of the remaining symbols in the realization of a random process or field. A natural relation to Gibbs measures has also been observed. In this short note we study this relation further, review a few earlier contributions from statistical mechanics, and pr...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2019
ISSN: 0951-7715,1361-6544
DOI: 10.1088/1361-6544/ab5179