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

Autor: Simone Di Marino, Filippo Santambrogio

Publikováno v: Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 39:1485-1517

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5fa990103c4db41e79b3f7b524edc73e
https://doi.org/10.4171/aihpc/36

Infinitesimal Hilbertianity of Locally $$\mathrm{CAT}(\kappa )$$-Spaces

Autor: Elefterios Soultanis, Enrico Pasqualetto, Simone Di Marino, Nicola Gigli

Publikováno v: The Journal of Geometric Analysis. 31:7621-7685

We show that, given a metric space$$(\mathrm{Y},\textsf {d} )$$(Y,d)of curvature bounded from above in the sense of Alexandrov, and a positive Radon measure$$\mu $$μon$$\mathrm{Y}$$Ygiving finite mass to bounded sets, the resulting metric measure sp

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::763fdf10dee191921acd65e127918f76
https://doi.org/10.1007/s12220-020-00543-7

An Optimal Transport Approach for the Schrödinger Bridge Problem and Convergence of Sinkhorn Algorithm

Autor: Simone Di Marino, Augusto Gerolin

Publikováno v: Journal of Scientific Computing, 85(2):27, 1-28. Springer
Marino, S D & Gerolin, A 2020, ' An Optimal Transport Approach for the Schrödinger Bridge Problem and Convergence of Sinkhorn Algorithm ', Journal of Scientific Computing, vol. 85, no. 2, 27, pp. 1-28 . https://doi.org/10.1007/s10915-020-01325-7
Journal of Scientific Computing

This paper exploit the equivalence between the Schrödinger Bridge problem (Léonard in J Funct Anal 262:1879–1920, 2012; Nelson in Phys Rev 150:1079, 1966; Schrödinger in Über die umkehrung der naturgesetze. Verlag Akademie der wissenschaften in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbf9aed54c5da3cc63ce9eb2b68dc155
https://doi.org/10.1007/s10915-020-01325-7

An entropy minimization approach to second-order variational mean-field games

Autor: Jean-David Benamou, Guillaume Carlier, Simone Di Marino, Luca Nenna

Publikováno v: Mathematical Models and Methods in Applied Sciences
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2019
Mathematical Models and Methods in Applied Sciences, 2019

We propose a new viewpoint on variational mean-field games with diffusion and quadratic Hamiltonian. We show the equivalence of such mean-field games with a relative entropy minimization at the level of probabilities on curves. We also address the ti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7cca18e62a6c04ffc80ef8dc34a88ae0
http://hdl.handle.net/11567/977468

A tumor growth model of Hele-Shaw type as a gradient flow

Autor: Simone Di Marino, Lénaïc Chizat

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2020

In this paper, we characterize a degenerate PDE as the gradient flow in the space of nonnegative measures endowed with an optimaltransport-growthmetric. The PDE of concern, of Hele-Shaw type, was introduced by Perthameet. al. as a mechanical model fo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7fbdd8233dff0d07b9cc3b9a48bb439a
https://doi.org/10.1051/cocv/2020019