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20162021
most citedOn a solution to the Monge transport problem on the real line arising from the strictly concave case

4 citations · 5 across the 3 of their papers we have counts for

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math.DG2020★ 1 cited

SubRiemanniann structures do not satisify Riemannian Brunn--Minkowski inequalities

Nicolas Juillet

We prove that no Brunn--Minkowski inequality from the Riemannian theories of curvature-dimension and optimal transportation can by satisfied by a strictly subRiemannian structure.…

math.DG2016

Smoothing and non-smoothing via a flow tangent to the Ricci flow

Matthias Erbar, Nicolas Juillet

We study a transformation of metric measure spaces introduced by Gigli and Mantegazza consisting in replacing the original distance with the length distance induced by the transpor…