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arXiv · 2610.34557

Variational principle for the Carathéodory--Pesin entropy of foliations

Andrzej Biś·Maria Carvalho·Paulo Varandas
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Abstract

We introduce Carathéodory-Pesin structures for non-singular foliations on Riemannian manifolds and define a new notion of entropy for such foliations. Under dynamical and geometric assumptions on the corresponding holonomy pseudogroups, we establish a variational description of this new concept which relates it to the local metric entropy of measures on transversals and to the entropy of harmonic measures on the manifold.

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Andrzej Biś, Maria Carvalho, Paulo Varandas. 2026-10-25. Variational principle for the Carathéodory--Pesin entropy of foliations. https://arxiv.org/abs/2610.34557

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