Mathias Braun

activity

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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4 papers · 1 filter

math.DG2026

Comparison theory for Lipschitz spacetimes

Mathias Braun, Marta Sálamo Candal

We prove a globally hyperbolic spacetime with locally Lipschitz continuous metric and timelike distributional Ricci curvature bounded from below obeys the timelike measure contract…

math.DG2023

Optimal transport and timelike lower Ricci curvature bounds on Finsler spacetimes

Mathias Braun, Shin-ichi Ohta

We prove that a Finsler spacetime endowed with a smooth reference measure whose induced weighted Ricci curvature $Ric_{N}$ is bounded from below by a real number $K$ …

math.DG2021

Heat kernel bounds and Ricci curvature for Lipschitz manifolds

Mathias Braun, Chiara Rigoni

Given any $d$ -dimensional Lipschitz Riemannian manifold $(M, g)$ with heat kernel $p$ , we establish uniform upper bounds on $p$ which can always be decoupled in sp…

math.DG2021★ 3 cited

Vector calculus for tamed Dirichlet spaces

Mathias Braun

In the language of $L^{\infty}$ -modules proposed by Gigli, we introduce a first order calculus on a topological Lusin measure space $(M, m)$ carrying a quasi-regular, stron…