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- W2955778573 abstract "The notion of Gibbs Measure is used by many researchers of the communities of Mathematical Physics, Probability, Thermodynamic Formalism, Symbolic Dynamics, and others. A natural question is when these several different notions of Gibbs measure coincide. We study the properties of Gibbs measures for functions with $d-$summable variation defined on a subshift $X$. Based on Meyerovitch's work, we prove that if $X$ is a subshift of finite type (SFT), then any equilibrium measure is also a Gibbs measure. Although the definition provided by Meyerovitch does not make any mention to conditional expectations, we show that in the case where $X$ is a SFT, it is possible to characterize these measures in terms of more familiar notions presented in the literature of Mathematical Physics using DLR equations." @default.
- W2955778573 created "2019-07-12" @default.
- W2955778573 creator A5032136320 @default.
- W2955778573 date "2019-07-08" @default.
- W2955778573 modified "2023-09-27" @default.
- W2955778573 title "Gibbs measures on subshifts" @default.
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- W2955778573 doi "https://doi.org/10.11606/d.45.2019.tde-28062019-073823" @default.
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