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20102025
most citedRicci curvature of finite Markov chains via convexity of the entropy

128 citations · 197 across the 16 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.DG2017

Rigidity of cones with bounded Ricci curvature

Matthias Erbar, Karl-Theodor Sturm

We show that the only metric measure space with the structure of an -cone and with two-sided synthetic Ricci bounds is the Euclidean space for integer. T…

math.NA2017

Computation of Optimal Transport on Discrete Metric Measure Spaces

Matthias Erbar, Martin Rumpf, Bernhard Schmitzer +1

In this paper we investigate the numerical approximation of an analogue of the Wasserstein distance for optimal transport on graphs that is defined via a discrete modification of t…