Brownian motion on foliations: Entropy, invariant measures, mixing

DOI10.1007/BF01077429zbMath0675.58039OpenAlexW2074931519MaRDI QIDQ1122202

Vadim A. Kaimanovich

Publication date: 1988

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077429

zbMATH Keywords

entropybounded harmonic functionsBrownian motionRiemannian foliationsLiouville foliations

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Covering spaces and low-dimensional topology (57M10) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Entropy and other invariants (28D20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items

Boundary and entropy of space homogeneous Markov chains, Oseledec multiplicative ergodic theorem for laminations, Foliated stochastic calculus: Harmonic measures, Harmonic measures for compact negatively curved manifolds, The harmonic measures of Lucy Garnett, The dichotomy of harmonic measures of compact hyperbolic laminations, Harmonic means, Branching number of a pseudogroup, Heat equation and ergodic theorems for Riemann surface laminations, Stabilizers of actions of lattices in products of groups, Invariant measures for the stable foliation on negatively curved periodic manifolds, Linear drift and entropy for regular covers, Ergodic theorems for laminations and foliations: recent results and perspectives, Topology and dynamics of laminations in surfaces of general type, Corrigendum to: ``Differentiating the stochastic entropy in negatively curved spaces under conformal changes, The Poisson boundary of covering Markov operators, Entropies for Negatively Curved Manifolds, Harmonic measures in embedded foliated manifolds

Cites Work

• Foliations, the ergodic theorem and Brownian motion
• Bounded harmonic functions and positive Ricci curvature
• Random walks on discrete groups: Boundary and entropy
• Foliations with measure preserving holonomy
• Curvature of Leaves in Amenable Foliations
• The Spectral Geometry of Foliations