128 citations · 197 across the 16 of their papers we have counts for
Showing 2018Show all
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math.PR2018★ 3 cited
The one-dimensional log-gas free energy has a unique minimiser
Matthias Erbar, Martin Huesmann, Thomas Leblé
We prove that, at every positive temperature, the infinite-volume free energy of the one dimensional log-gas, or beta-ensemble, has a unique minimiser, which is the Sine-beta proce…
math.MG2018
On the geometry of geodesics in discrete optimal transport
Matthias Erbar, Jan Maas, Melchior Wirth
We consider the space of probability measures on a discrete set , endowed with a dynamical optimal transport metric. Given two probability measures supported in a subset $Y \sub…
math.DG2018
Super Ricci flows for weighted graphs
Matthias Erbar, Eva Kopfer
We present a notion of super Ricci flow for time-dependent finite weighted graphs. A challenging feature is that these flows typically encounter singularities where the underlying…