Simone Di Marino

activity

20122023

most citedOn the duality between p-Modulus and probability measures

36 citations · 112 across the 19 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AP2019★ 2 cited

JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: L p and Sobolev bounds

Simone Di Marino, Filippo Santambrogio

We analyze some parabolic PDEs with different drift terms which are gradient flows in the Wasserstein space and consider the corresponding discrete-in-time JKO scheme. We prove wit…

math.PR2019

An Optimal Transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm

Simone Di Marino, Augusto Gerolin

This paper exploit the equivalence between the Schrödinger Bridge problem and the entropy penalized optimal transport in order to find a different approach to the duality, in the s…

math.OC2019★ 1 cited

Metric completion of $D i f f ([0, 1])$ with the $H 1$ right-invariant metric

Simone Di Marino, Andrea Natale, Rabah Tahraoui +1

We consider the group of smooth increasing diffeomorphisms Diff on the unit interval endowed with the right-invariant $H^{1}$ metric. We compute the metric completion of this space w…

JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: L p and Sobolev bounds

An Optimal Transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm

Metric completion of Diff([0,1]) with the H1 right-invariant metric

Metric completion of $D i f f ([0, 1])$ with the $H 1$ right-invariant metric