Ricci curvature of Markov chains on Polish spaces revisited

zbMath1283.60102MaRDI QIDQ2393585

Yuan Liu, Fu-Zhou Gong, Zhi-Ying Wen

Publication date: 8 August 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1371833497

zbMATH Keywords

Markov chainsRicci curvature

Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Fractals (28A80)

Cites Work

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• Feller processes on nonlocally compact spaces
• Modified logarithmic Sobolev inequalities on \(\mathbb{R}\)
• Ricci curvature of Markov chains on metric spaces
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Dirichlet forms on fractals: Poincaré constant and resistance
• Diffusion processes and heat kernels on metric spaces
• Dirichlet forms and symmetric Markov processes
• Moment estimates derived from Poincaré and logarithmic Sobolev inequalities
• Brownian Motion and Harmonic Analysis on Sierpinski Carpets

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