46 citations · 133 across the 42 of their papers we have counts for
5 papers · 1 filter
Bakry-Émery calculus for entropic curvature, new diameter estimates, and spectral gaps
Supanat Kamtue, Shiping Liu, Florentin Münch +1
In this paper, we propose a generalization of Bakry-Émery's calculus which allows us to formulate both Bakry-Émery and entropic curvature simultaneously. This formulation represent…
Bakry-Émery and Ollivier Ricci Curvature of Cayley Graphs
David Cushing, Supanat Kamtue, Riikka Kangaslampi +3
In this article we study two discrete curvature notions, Bakry-Émery curvature and Ollivier Ricci curvature, on Cayley graphs. We introduce Right Angled Artin-Coxeter Hybrids (RAAC…
Neumann semigroup, subgraph convergence, form uniqueness, stochastic completeness and the Feller property
Matthias Keller, Florentin Münch, Radosław K. Wojciechowski
We study heat kernel convergence of induced subgraphs with Neumann boundary conditions. We first establish convergence of the resulting semigroups to the Neumann semigroup in $\ell…
Ollivier curvature, Isoperimetry, concentration, and Log-Sobolev inequalitiy
Florentin Münch
We introduce a Laplacian separation principle for the the eikonal equation on Markov chains. As application, we prove an isoperimetric concentration inequality for Markov chains wi…
Some variants of discrete positive mass theorems on graphs
Bobo Hua, Florentin Münch, Haohang Zhang
Inspired by asymptotically flat manifolds, we introduce the concept of asymptotically flat graphs and define the discrete ADM mass on them. We formulate the discrete positive mass…