Bakry-Emery Theory and related functional inequalities
Curvature-Dimension conditions for non-local Operators
Long-time behavior of Markov chains
Publikationen und Preprints
F. Weber, R. Zacher Li-Yau inequalities for general non-local diffusion equations via reduction to the heat kernel (Preprint)
F. Weber Entropy-information inequalities under curvature-dimension conditions for continuous-time Markov chains Electron. J. Probab. 26 (2021), 1 - 31. (DOI), arxiv
F. Weber, R. Zacher The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains, J.Funct. Anal. 281 (2021), no.5 (DOI), arxiv
A. Spener, F. Weber, R. Zacher The Fractional Laplacian has Infinite Dimension Comm. Partial Differential Equations 45 (2020), no. 1, 57–75. (DOI), arxiv
A. Spener, F. Weber, R. Zacher Curvature-Dimension inequalities for non-local Operators in the discrete Setting Calc. Var. Partial Differential Equations 58 (2019), no. 6, Paper No. 203. (DOI), arxiv