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math.DG2023
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…
math.DG2016★ 1 cited
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.…
math.DG2015★ 6 cited
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…