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math.AP2020
Li-Yau inequalities for general non-local diffusion equations via reduction to the heat kernel
Frederic Weber, Rico Zacher
We establish a reduction principle to derive Li-Yau inequalities for non-local diffusion problems in a very general framework, which covers both the discrete and continuous setting…
math.PR2020
Entropy-information inequalities under curvature-dimension conditions for continuous-time Markov chains
Frederic Weber
In the setting of reversible continuous-time Markov chains, the condition has been shown recently to be a consistent analogue to the Bakry-Émery condition in the diffusive s…
math.PR2020
The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains
Frederic Weber, Rico Zacher
We consider continuous-time (not necessarily finite) Markov chains on discrete spaces and identify a curvature-dimension inequality, the condition , which serves as…