Higher-dimensional nonlinear thermodynamic formalism
Dynamical Systems
2022-04-20 v1
Abstract
We introduce a higher-dimensional version of the nonlinear thermodynamic formalism introduced by Buzzi and Leplaideur, in which a potential is replaced by a family of potentials. In particular, we establish a corresponding variational principle and we discuss the existence, characterization, and number of equilibrium measures for this higher-dimensional version.
Cite
@article{arxiv.2111.09853,
title = {Higher-dimensional nonlinear thermodynamic formalism},
author = {Luís Barreira and Carllos Eduardo Holanda},
journal= {arXiv preprint arXiv:2111.09853},
year = {2022}
}