Eigenvalues, inequalities and ergodic theory

DOI10.1007/BF02887400zbMath1039.58030OpenAlexW2951033158MaRDI QIDQ1428920

Chen Mu-Fa

Publication date: 18 May 2004

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02887400

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) General theory of partial differential operators (47F05) Diffusion processes and stochastic analysis on manifolds (58J65) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items

Long time behavior of Markov processes, Large deviations in total variation of occupation measures of one-dimensional diffusions, Spectral gap of positive operators and applications

Cites Work

• Spectral geometry: direct and inverse problems. With an appendix by G. Besson
• General formula for lower bound of the first eigenvalue on Riemannian manifolds
• Coupling, spectral gap and related topics. I
• Logarithmic Sobolev inequality for symmetric forms
• Nash inequalities for general symmetric forms
• Estimation of spectral gap for elliptic operators
• Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap
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