Unique ergodicity of horospheric foliations revisited

DOI10.1007/S11784-010-0032-XzbMath1205.37012OpenAlexW2086541928MaRDI QIDQ626547

Alexey A. Glutsyuk

Publication date: 18 February 2011

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-010-0032-x

zbMATH Keywords

minimalityunique ergodicityunstable foliationAnosov diffeomorphism (flow)horospheric laminationLyubich-Minsky laminationone-dimensional rational dynamicsvertical geodesic flow

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Partial differential equations on manifolds; differential operators (58J99) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Foliations in differential topology; geometric theory (57R30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

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• Unique ergodicity for horocycle foliations
• Laminations in holomorphic dynamics
• Certain measures associated with U-flows on compact manifolds
• A note on hyperbolic leaves and wild laminations of rational functions
• Conformal and harmonic measures on laminations associated with rational maps

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