Mathias Braun

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20192026

most citedOptimal transport, gradient estimates, and pathwise Brownian coupling on spaces with variable Ricci bounds

8 citations · 13 across the 11 of their papers we have counts for

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math.FA2020

Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel

Mathias Braun

We study the canonical heat flow $(H_{t})_{t \geq 0}$ on the cotangent module $L^{2} (T^{*} M)$ over an $RCD (K, \infty)$ space $(M, d, m)$ , $K\in\boldsymb…

math.FA2019★ 8 cited

Optimal transport, gradient estimates, and pathwise Brownian coupling on spaces with variable Ricci bounds

Mathias Braun, Karen Habermann, Karl-Theodor Sturm

Given a metric measure space $(X, d, m)$ and a lower semicontinuous, lower bounded function $k : X \to R$ , we prove the equivalence of the synthetic ap…