Harmonic measures in embedded foliated manifolds

DOI10.1142/S0219493717500265zbMath1380.58027arXiv1208.0629OpenAlexW1719120406MaRDI QIDQ5268390

Paulo R. Ruffino, Diego S. Ledesma, Pedro José Catuogno

Publication date: 20 June 2017

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0629

zbMATH Keywords

Brownian motionLyapunov exponentfoliated manifoldstochastic flow of diffeomorphismsmeasure invariance

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Foliations (differential geometric aspects) (53C12)

Related Items

Degenerate semigroups and stochastic flows of mappings in foliated manifolds

Cites Work

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• Averaging sequences
• Recurrence and invariant measures for degenerate diffusions
• Foliations, the ergodic theorem and Brownian motion
• Minimal Følner foliations are amenable
• Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms
• Brownian motion on foliations: Entropy, invariant measures, mixing
• Foliations with measure preserving holonomy
• Cycles for the dynamical study of foliated manifolds and complex manifolds
• The harmonic measures of Lucy Garnett
• Topology of generic leaves
• Brownian motion on Anosov foliations and manifolds of negative curvature
• Foliated stochastic calculus: Harmonic measures
• Superharmonic Functions on Foliations
• Statistical behaviour of the leaves of Riccati foliations
• A Metric Formula for the Godbillon-Vey Invariant for Foliations
• The Hopf argument