6 citations · 8 across the 4 of their papers we have counts for
4 papers
Reflective Graphs, Ollivier curvature, effective diameter, and rigidity
Florentin Münch
We give a discrete Bonnet Myers type theorem for the effective diameter assuming positive Ollivier curvature. We prove that this diameter bound is attained if and only if the graph…
Extremal functions for the second-order Sobolev inequality on groups of polynomial growth
Bobo Hua, Ruowei Li, Florentin Münch
In this paper, we prove the second-order Sobolev inequalities on Cayley graphs of groups of polynomial growth. We use the discrete Concentration-Compactness principle to prove the…
Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds
Michela Egidi, Shiping Liu, Florentin Münch +1
In this paper, we present a Lichnerowicz type estimate and (higher order) Buser type estimates for the magnetic Laplacian on a closed Riemannian manifold with a magnetic potential.…
Remarks on curvature dimension conditions on graphs
Florentin Münch
We show a connection between the inequality and the inequality. In particular, we introduce a inequality as a slight generalization of which turns out t…