Author

Mathias Braun

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Preprint Sep 2026

Timelike Ollivier-Ricci curvature

We introduce a codimension one construction of coarse Ricci curvature in Lorentzian geometry. Using the $1$-Lorentz-Wasserstein distance $\ell_1$, we compare probability measures supported on small spacelike hypersurfaces through nearby events and recover, in a precise asymptotic regime, the ambient Ricci curvature in...

Mathias Braun, Xue-Mei Li · 0 citations

Preprint Sep 2026

The radial part of $p$-Brownian motion

We initiate a geometric theory of $p$-Brownian motion, the nonlinear Markov process associated with the $p$-Laplacian introduced by Barbu-Rehmeier-R\"ockner. More precisely, we analyze its radial processes thoroughly, relative to an arbitrary center and in every dimension. On the one hand, we show explicit Tanaka--Meye...

Mathias Braun · 0 citations