Inducing Schemes with Finite Weighted Complexity

Jianyu Chen; Fang Wang; Hong-Kun Zhang

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arXiv · 2302.12561

Inducing Schemes with Finite Weighted Complexity

Jianyu Chen·Fang Wang·Hong-Kun Zhang

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Abstract

In this paper, we consider a Borel measurable map of a compact metric space which admits an inducing scheme. Under the finite weighted complexity condition, we establish a thermodynamic formalism for a parameter family of potentials $\varphi+t\psi$ in an interval containing $t=0$. Furthermore, if there is a generating partition compatible to the inducing scheme, we show that all ergodic invariant measures with sufficiently large pressure are liftable.

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Jianyu Chen, Fang Wang, Hong-Kun Zhang. 2023-02-24. Inducing Schemes with Finite Weighted Complexity. https://arxiv.org/abs/2302.12561

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