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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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math.DG2025

Synthetic approaches to Ricci flows

Matthias Erbar, Marco Flaim, Eric Hupp +3

We review different notions of synthetic Ricci flow that apply to time-dependent families of metric measure spaces and which are based on properties of the heat flow, ideas from op…

math.DG2025

Synthetic notions of Ricci flow for metric measure spaces

Matthias Erbar, Zhenhao Li, Timo Schultz

We develop different synthetic notions of Ricci flow in the setting of time-dependent metric measure spaces based on ideas from optimal transport. They are formulated in terms of d…