Preimage Entropy and Stable Entropy on Subsets

Cheng, Daizhan; Li, Zhiming; Wu, Wei

doi:10.1007/s10955-023-03084-9

J Stat Phys

2023

DOI: 10.1007/s10955-023-03084-9

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Preimage Entropy and Stable Entropy on Subsets

Daizhan Cheng

Zhiming Li

Wei Wu

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2024

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Preimage pressure on subsets and multifractal analysis

Wu,

Zhang

2024

Journal of Mathematical Physics

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In this paper, pointwise preimage pressures for (non-invertible) continuous maps on any subset (not necessarily compact or invariant) are introduced via Carathéodory-Pesin construction. A variational inequality for preimage pressure of saturated sets is then obtained. In particular, we prove that the preimage pressure of the set of generic points for an ergodic measure equals the metric preimage pressure of the measure, which extends Bowen’s theorem to preimage pressure. We also use the thermodynamic formalism of preimage pressure to obtain some estimates on Birkhoff level sets.

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Preimage pressure on subsets and multifractal analysis

Wu,

Zhang

2024

Journal of Mathematical Physics

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Preimage Entropy and Stable Entropy on Subsets

Cited by 1 publication

References 34 publications

Preimage pressure on subsets and multifractal analysis

Preimage pressure on subsets and multifractal analysis

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