3 papers
math.PR2026
Weak Functional Inequalities for Perturbed Measures
Patrick Cattiaux, Paula Cordero-Encinar, Arnaud Guillin
This paper is a follow up to an article by two of the authors dedicated to the study of Poincaré and logarithmic Sobolev inequalities for measures of the form wh…
math.PR2025
Diffusion annealed Langevin dynamics: a theoretical study
Patrick Cattiaux, Paula Cordero-Encinar, Arnaud Guillin
In this work we study the diffusion annealed Langevin dynamics, a score-based diffusion process recently introduced in the theory of generative models and which is an alternative t…
math.AP2024
Entropy on the path space and application to singular diffusions and mean-field models
Patrick Cattiaux
In this paper we intend to present a unified treatment of a variety of singular interacting particle systems and their McKean-Vlasov limits. This unified approach is based on the u…