A Variational Principle for the Topological Pressure of Non-autonomous Iterated Function Systems on Subsets
Dynamical Systems
2026-02-10 v1
Abstract
Motivated by the notion of topological entropy for free semigroup actions introduced by Bi\'s, we define the Pesin--Pitskel topological pressure for non-autonomous iterated function systems via the Carath\'eodory--Pesin structure. We show that this Pesin--Pitskel topological pressure coincides with the corresponding weighted topological pressure. Furthermore, we establish a variational principle asserting that, for any nonempty compact subset, the Pesin--Pitskel topological pressure equals the supremum of the associated measure-theoretic pressures over all Borel probability measures supported on that subset.
Keywords
Cite
@article{arxiv.2602.08746,
title = {A Variational Principle for the Topological Pressure of Non-autonomous Iterated Function Systems on Subsets},
author = {Yujun Ju and Lingbing Yang},
journal= {arXiv preprint arXiv:2602.08746},
year = {2026}
}