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arXiv · 2602.08746

A Variational Principle for the Topological Pressure of Non-autonomous Iterated Function Systems on Subsets

Yujun Ju·Lingbing Yang
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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.

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Yujun Ju, Lingbing Yang. 2026-02-09. A Variational Principle for the Topological Pressure of Non-autonomous Iterated Function Systems on Subsets. https://arxiv.org/abs/2602.08746

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