Induced and nonlinear topological pressure for random dynamical systems
Dynamical Systems
2026-04-17 v1
Abstract
In this paper, we investigate induced and nonlinear fiber topological pressure for random dynamical systems. We define a non-averaged induced fiber pressure via spanning and separated sets, characterize it as the pseudo-inverse of the classical fiber topological pressure studied previously, and establish the corresponding variational principle. We also define the nonlinear fiber pressure and prove the associated variational principles. Finally, we extend the combined theory to the higher-dimensional setting.
Cite
@article{arxiv.2604.14964,
title = {Induced and nonlinear topological pressure for random dynamical systems},
author = {Cunyi Nan},
journal= {arXiv preprint arXiv:2604.14964},
year = {2026}
}
Comments
29 pages