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Pré-Publication, Document De Travail Année : 2023

Thermodynamic formalism for piecewise expanding maps in finite dimension

Résumé

We study weighted transfer operators associated to a piecewise expanding map on a compact manifold, and a piecewise Holder weight, acting on Sobolev spaces. We bound the essential spectral radius in terms of a topological pressure for a subadditive potential. Under a new small boundary pressure condition, we improve the estimate by establishing a variational principle for piecewise expanding maps and subadditive potentials.

Dates et versions

hal-04066998 , version 1 (13-04-2023)

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Viviane Baladi, Roberto Castorrini. Thermodynamic formalism for piecewise expanding maps in finite dimension. 2023. ⟨hal-04066998⟩
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