Inducing Schemes with Finite Weighted Complexity
Dynamical Systems
2023-02-27 v1
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 in an interval containing . 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.
Cite
@article{arxiv.2302.12561,
title = {Inducing Schemes with Finite Weighted Complexity},
author = {Jianyu Chen and Fang Wang and Hong-Kun Zhang},
journal= {arXiv preprint arXiv:2302.12561},
year = {2023}
}