27 citations · 29 across the 9 of their papers we have counts for
12 papers
Wasserstein barycenters on metric graphs
Jérôme Bertrand, Jianyu Ma
In this paper we provide conditions for a Wasserstein barycenter to be absolutely continuous with respect to its Hausdorff measure away from the vertices of the graph. One assumpti…
On the Gauss image problem
Jérôme Bertrand
In this note, we solve the Gauss image problem given two Borel measures on the unit sphere, one of which is absolutely continuous with respect to the uniform measure.
Stability of eigenvalues and observable diameter in RCD spaces
Jérôme Bertrand, Max Fathi
We study stability of the spectral gap and observable diameter for metricmeasure spaces satisfying the RCD(1, ) condition. We show that if such a space has an almost maxima…
Prescribing The Gauss Curvature Of Convex Bodies In Hyperbolic Space
Jérôme Bertrand, Philippe Castillon
The Gauss curvature measure of a pointed Euclidean convex body is a measure on the unit sphere which extends the notion of Gauss curvature to non-smooth bodies. Alexandrov's proble…
Adams Inequality on Pinched Hadamard Manifolds
Jerome Bertrand, Kunnath Sandeep
In this article we prove the Adams type inequality for functions, where is a positive integer less than n and is a Hadamard manifold with Ricci curvature b…
Stratified spaces and synthetic Ricci curvature bounds
J. Bertrand, C Ketterer, Ilaria Mondello +1
We prove that a compact stratied space satises the Riemannian curvature-dimension condition RCD(K, N) if and only if its Ricci tensor is bounded below by K R on the regular s…