A multiplicative ergodic theoretic characterization of relative equilibrium states
نویسندگان
چکیده
Abstract In this article, we continue the structural study of factor maps between symbolic dynamical systems and relative thermodynamic formalism. Here, one is studying a map from shift finite type X (equipped with potential function) to sofic Z , equipped shift-invariant measure $\nu $ . We equilibrium states, that is, measures on push forward under which maximize pressure: entropy plus integral $\phi paper, establish new connection multiplicative ergodic theory by relating these triples cocycle Ruelle–Perron–Frobenius operators, showing principal Lyapunov exponent pressure; dimension leading Oseledets space equal number maximal entropy, counted previously identified concept multiplicity.
منابع مشابه
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2022
ISSN: ['0143-3857', '1469-4417']
DOI: https://doi.org/10.1017/etds.2022.15