46 citations · 133 across the 42 of their papers we have counts for
6 papers · 1 filter
Transitive graphs of non-negative Ollivier-Ricci curvature have polynomial growth
Camillo Brena, Tom Hutchcroft, Florentin Münch
We prove that every transitive graph of non-negative Ollivier-Ricci curvature has polynomial growth. We deduce from this and a theorem of Brena and Brue that a finitely generated g…
A generalized Cheeger inequality and the Steklov Problem on finite graphs
Bobo Hua, Supanat Kamtue, Shiping Liu +2
We prove generalized Cheeger inequalities for eigenvalues of Laplacians for reversible Markov chains. Then we apply Hassannezhad and Miclo's convergence result to obtain Jammes Che…
Characterization of foliations via disintegration maps
Florentin Münch, Renata Possobon, Christian S. Rodrigues
In this paper, we present a novel approach for analyzing the relationship between the supports of conditional measures and their geometric arrangement in Wasserstein space via the…
On a magneto-spectral invariant on finite graphs
Chunyang Hu, Bobo Hua, Supanat Kamtue +3
In this paper, we introduce a magneto-spectral invariant for finite graphs. This invariant vanishes on trees and is maximized by complete graphs. We compute this invariant for cycl…
A counterexample to a conjecture by Salez and Youssef
Florentin Münch
Remarkable progress has been made in recent years to establish log-Sobolev type inequalities under the assumption of discrete Ricci curvature bounds. More specfically, Salez and Yo…
Betti number estimates for non-negatively curved graphs
Moritz Hehl, Florentin Münch
In this paper, we establish Betti number estimates for graphs with non-negative Ollivier curvature, and for graphs with non-negative Bakry-Émery curvature, providing a discrete ana…