Thermodynamic formalism for piecewise expanding maps in finite dimension
Dynamical Systems
2024-06-03 v2 Chaotic Dynamics
Abstract
We study weighted transfer operators associated to a piecewise expanding map on a compact manifold, and a piecewise Holder weight, acting on Sobolev spaces. We bound the essential spectral radius in terms of a topological pressure for a subadditive potential. Under a new small boundary pressure condition, we improve the estimate by establishing a variational principle for piecewise expanding maps and subadditive potentials. Version v2 is the electronic copy of the version to appear in DCDS
Keywords
Cite
@article{arxiv.2304.05910,
title = {Thermodynamic formalism for piecewise expanding maps in finite dimension},
author = {Viviane Baladi and Roberto Castorrini},
journal= {arXiv preprint arXiv:2304.05910},
year = {2024}
}
Comments
Version v2 is the electronic copy of the version to appear in DCDS