Integral representation of measures associated with a foliation

DOI10.1007/BF02684314zbMath0398.57013MaRDI QIDQ1254558

David Pierre Ruelle

Publication date: 1978

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1978__48__127_0

zbMATH Keywords

FoliationFoliation of Codimension KIntegral Representation of MeasuresTransverse Measure

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items

Noncommutative algebras for hyperbolic diffeomorphisms, Unnamed Item, About David Ruelle, after his 80th birthday, Invariant measures for a diffeomorphism which expands the leaves of a foliation

Cites Work

• Foliations, the ergodic theorem and Brownian motion
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• Currents, flows and diffeomorphisms
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• Cycles for the dynamical study of foliated manifolds and complex manifolds
• Unique ergodicity for horocycle foliations
• Anosov foliations are hyperfinite
• Asymptotic cycles
• Existence et unicité des représentations intégrales dans les convexes compacts quelconques
• Endomorphisms of Compact Differentiable Manifolds
• GIBBS MEASURES IN ERGODIC THEORY
• Foliations with all leaves compact