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- W3099363707 abstract "We consider continuous maps $f:Xto X$ on compact metric spaces admitting inducing schemes of hyperbolic type introduced in [15] as well as the induced maps $tilde{f}:tilde{X}totilde{X}$ and the associated tower maps $hat{f}:hat{X} to hat {X}$. For a certain class of potential functions $varphi$ on $X$, which includes all Holder continuous functions, we establish thermodynamic formalism for each of the above three systems and we describe some relations between the corresponding equilibrium measures. Furthermore we study ergodic properties of these equilibrium measures including the Bernoulli property, decay of correlations, and the Central Limit Theorem (CLT). Finally, we prove analyticity of the pressure function for the three systems." @default.
- W3099363707 created "2020-11-23" @default.
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- W3099363707 date "2019-03-11" @default.
- W3099363707 modified "2023-09-24" @default.
- W3099363707 title "Thermodynamics via Inducing" @default.
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- W3099363707 doi "https://doi.org/10.1007/s10955-019-02256-w" @default.
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