Zeta measures and Thermodynamic Formalism for temperature zero

Details Zeta measures and Thermodynamic Formalism for temperature zero Zeta measures and Thermodynamic Formalism for temperature zero

2009-12-24

arxiv.org/abs/0912.4771v2

Mathematics

Dynamical Systems

Scientific paper

We address the analysis of the following problem: given a real H\"older potential $f$ defined on the Bernoulli space and $\mu_f$ its equilibrium state, it is known that this shift-invariant probability can be weakly approximated by probabilities in periodic orbits associated to certain zeta functions. Given a H\"older function $f>0$ and a value $s$ such that $00$. We do not assume here the maximizing probability for $f$ is unique.

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