On the convergence to equilibrium of Brownian motion on compact simple Lie groups

DOI10.1007/BF02922178zbMath1059.43006WikidataQ115391125 ScholiaQ115391125MaRDI QIDQ1768090

Laurent Saloff-Coste

Publication date: 14 March 2005

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Laplace-Beltrami operatorcompact manifoldscompact semi-simple Lie group

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Cites Work

• Hypercontractivity and the Bakry-Emery criterion for compact Lie groups
• Eigenvalue estimates on homogeneous manifolds
• Dirichlet forms and symmetric Markov processes
• Precise estimates on the rate at which certain diffusions tend to equilibrium
• Mixing times of lozenge tiling and card shuffling Markov chains
• Some dichotomy results for central Gaussian convolution semigroups on compact groups
• Potential theory on infinite products and locally compact groups
• The geometry and structure of isotropy irreducible homogeneous spaces
• Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below
• Elliptic diffusions on infinite products.
• The geometry of Markov diffusion generators
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