3 papers
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…
math.AP2019
The Fractional Laplacian has Infinite Dimension
Adrian Spener, Frederic Weber, Rico Zacher
We show that the fractional Laplacian on fails to satisfy the Bakry-Émery curvature-dimension inequality for all curvature bounds and all…
math.AP2019
Curvature-dimension inequalities for non-local operators in the discrete setting
Adrian Spener, Frederic Weber, Rico Zacher
We study Bakry-Émery curvature-dimension inequalities for non-local operators on the one-dimensional lattice and prove that operators with finite second moment have finite dimensio…