Brownian motion on stationary random manifolds

DOI10.1142/S0219493716600017zbMath1335.60156arXiv1408.3571OpenAlexW1789593348MaRDI QIDQ2797914

Pablo Lessa

Publication date: 1 April 2016

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

Full work available at URL: https://arxiv.org/abs/1408.3571

zbMATH Keywords

entropyBrownian motionLiouville propertystationary random manifolds

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stationary stochastic processes (60G10) Brownian motion (60J65) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Diffusion processes and stochastic analysis on manifolds (58J65) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (2)

Prescribing the curvature of leaves of laminations: revisiting a theorem by Candel ⋮ Unimodular measures on the space of all Riemannian manifolds

Cites Work

• Function theory, random paths and covering spaces
• Théoremes de comparaison en géométrie Riemannienne
• Topology of generic leaves
• Reeb stability and the Gromov-Hausdorff limits of leaves in compact foliations
• Noncommutative Ergodic Theorems
• Entropy and Information Theory
• Brownian Motion and Harmonic Functions on Sol(p,q)†
• Multidimensional Stochastic Processes as Rough Paths
• Compactifications of Complete Riemannian manifolds and Their Applications
• Brownian Motion and Negative Curvature
• Entropy rigidity of symmetric spaces without focal points
• Noncommuting Random Products
• Ergodic Theory
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