46 citations · 133 across the 42 of their papers we have counts for
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math.DG2019
Spectrally positive Bakry-Émery Ricci curvature on graphs
Florentin Münch, Christian Rose
We investigate analytic and geometric implications of non-constant Ricci curvature bounds. We prove a Lichnerowicz eigenvalue estimate and finiteness of the fundamental group assum…
math.DG2019★ 6 cited
Li-Yau inequality under on graphs
Florentin Münch
We introduce a modified non-linear heat equation as a substitute of where is the heat semigroup. We prove an exponential decay of u…
math.DG2019
Non-negative Ollivier curvature on graphs, reverse Poincaré inequality, Buser inequality, Liouville property, Harnack inequality and eigenvalue estimates
Florentin Münch
We prove that for combinatorial graphs with non-negative Ollivier curvature, one has \[ \|P_t μ- P_t ν\|_1 \leq \frac{W_1(μ,ν)}{\sqrt{t}} \] for all probability measures wher…