Zobrazeno 1 - 10
of 5 104
pro vyhledávání: '"Santambrogio A"'
In this short paper we prove, using the JKO scheme, that quantities such as the Fisher information stay bounded or decrease across time for a family of 1-homogeneous diffusive PDEs. As a corollary, we prove that moduli of continuity are conserved acr
Externí odkaz:
http://arxiv.org/abs/2407.03758
Nowadays a vast literature is available on the Hele-Shaw or incompressible limit for nonlinear degenerate diffusion equations. This problem has attracted a lot of attention due to its applications to tissue growth and crowd motion modelling as it con
Externí odkaz:
http://arxiv.org/abs/2405.07227
We present regularity results for nonlinear drift-diffusion equations of porous medium type (together with their incompressible limit). We relax the assumptions imposed on the drift term with respect to previous results and additionally study the eff
Externí odkaz:
http://arxiv.org/abs/2405.06942
In this paper, we extend the scope of Caffarelli's contraction theorem, which provides a measure of the Lipschitz constant for optimal transport maps between log-concave probability densities in $\R^d$. Our focus is on a broader category of densities
Externí odkaz:
http://arxiv.org/abs/2404.05456
We consider an unsupervised bilevel optimization strategy for learning regularization parameters in the context of imaging inverse problems in the presence of additive white Gaussian noise. Compared to supervised and semi-supervised metrics relying e
Externí odkaz:
http://arxiv.org/abs/2403.07026
We prove an existence result for a large class of PDEs with a nonlinear Wasserstein gradient flow structure. We use the classical theory of Wasserstein gradient flow to derive an EDI formulation of our PDE and prove that under some integrability assu
Externí odkaz:
http://arxiv.org/abs/2402.02882
In this paper we identify the Fokker-Planck equation for (reflected) Sticky Brownian Motion as a Wasserstein gradient flow in the space of probability measures. The driving functional is the relative entropy with respect to a non-standard reference m
Externí odkaz:
http://arxiv.org/abs/2401.16842
Autor:
David, Noemi, Santambrogio, Filippo
We obtain new estimates for the solution of both the porous medium and the fast diffusion equations by studying the evolution of suitable Lipschitz norms. Our results include instantaneous regularization for all positive times, long-time decay rates
Externí odkaz:
http://arxiv.org/abs/2308.01041
The Fisher infinitesimal model is a classical model of phenotypic trait inheritance in quantitative genetics. Here, we prove that it encompasses a remarkable convexity structure which is compatible with a selection function having a convex shape. It
Externí odkaz:
http://arxiv.org/abs/2302.12063
Autor:
Paolo Santambrogio, Anna Cozzi, Chiara Balestrucci, Maddalena Ripamonti, Valeria Berno, Eugenia Cammarota, Andrea Stefano Moro, Sonia Levi
Publikováno v:
Cell Death and Disease, Vol 15, Iss 5, Pp 1-10 (2024)
Abstract Disease models of neurodegeneration with brain iron accumulation (NBIA) offer the possibility to explore the relationship between iron dyshomeostasis and neurodegeneration. We analyzed hiPS-derived astrocytes from PANK2-associated neurodegen
Externí odkaz:
https://doaj.org/article/ac292067ea3c4ea49e49855dddee3311