An analogue of the variational principle for group and pseudogroup actions

DOI10.5802/aif.2778zbMath1294.37011OpenAlexW2322727678MaRDI QIDQ381139

Andrzej Biś

Publication date: 15 November 2013

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2013__63_3_839_0/

zbMATH Keywords

variational principleHausdorff measuretopological entropyfoliationspseudogroupshomogeneous measureCarathéodory measures and dimensionsCarathéodory structureslocal measure entropy

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Topological entropy (37B40)

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Cites Work

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• A Billingsley type theorem for Bowen entropy
• Equicontinuous foliated spaces
• Geometric entropy of foliations
• Lectures on analysis on metric spaces
• Entropies of a semigroup of maps
• Topological entropy of free semigroup actions and skew-product transformations
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• ON MEASURES WITH THE DOUBLING CONDITION
• Every complete doubling metric space carries a doubling measure
• Skew product maps related to finitely generated rational semigroups
• Dimension type characteristics for invariant sets of dynamical systems
• Topological Entropy for Noncompact Sets
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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