An SDE approach to leafwise diffusions on foliated spaces and its applications

DOI10.2748/tmj/1435237042zbMath1360.37022OpenAlexW1506057073MaRDI QIDQ888376

Kiyotaka Suzaki

Publication date: 30 October 2015

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1435237042

zbMATH Keywords

harmonic measurecentral limit theoremfoliated spaceleafwise diffusion process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Diffusion processes (60J60) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (2)

Stochastic flows and rough differential equations on foliated spaces ⋮ Leafwise Brownian motions and some function theoretic properties of laminations

Cites Work

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• Central limit theorem for leafwise Brownian motions on mapping tori
• Foliations, the ergodic theorem and Brownian motion
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• The harmonic measures of Lucy Garnett
• Central limit theorem in negative curvature
• A new approach to the rigidity of discrete group actions
• Limit theorems for a class of diffusion processes
• On a problem of necessary and sufficient conditions in the functional central limit theorem for local martingales

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