Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Huguet, Baptiste"'
Autor:
Huguet, Baptiste Nicolas
We prove a curvature-dimension criterion and obtain logarithmic Sobolev inequalities for generalised Cauchy measures with optimal weights and explicit constants. In the one-dimensional case, this constant is even optimal. From these inequalities, we
Externí odkaz:
http://arxiv.org/abs/2411.17239
Autor:
Herry, Ronan, Huguet, Baptiste
Motivated by a problem from incompressible fluid mechanics of Brenier (JAMS 1989), and its recent entropic relaxation by Arnaudo, Cruizero, L\'eonard & Zambrini (AIHP PS 2020), we study a problem of entropic minimization on the path space when the re
Externí odkaz:
http://arxiv.org/abs/2403.17305
Autor:
Huguet, Baptiste Nicolas
We obtain new sharp weighted Poincar{\'e} inequalities on Riemannian manifolds for a general class of measures. When specialised to generalised Cauchy measures, this gives a unified and simple proof of the weighted Poincar{\'e} inequality for the who
Externí odkaz:
http://arxiv.org/abs/2302.02684
Autor:
García-Zelada, David, Huguet, Baptiste
Publikováno v:
Stochastic Analysis and Applications 40 (2022), no. 3, 426-454
We consider the Brenier-Schr{\"o}dinger problem on compact manifolds with boundary. In the spirit of a work by Arnaudon, Cruzeiro, L{\'e}onard and Zambrini, we study the kinetic property of regular solutions and obtain a link to the Navier-Stokes equ
Externí odkaz:
http://arxiv.org/abs/2102.07410
Autor:
Huguet, Baptiste
We prove intertwining relations by twisted gradients for Markov semi-groups. These relations are applied to Brascamp-Lieb type inequalities and spectral gap results. It generalizes the results of [1] from the Euclidean space to Riemannian manifolds a
Externí odkaz:
http://arxiv.org/abs/1912.05376
Autor:
Huguet, Baptiste
Publikováno v:
In Stochastic Processes and their Applications March 2022 145:1-28
Autor:
García-Zelada, David1 (AUTHOR), Huguet, Baptiste2 (AUTHOR)
Publikováno v:
Stochastic Analysis & Applications. 2022, Vol. 40 Issue 3, p426-454. 29p.
Autor:
Huguet, Baptiste
Publikováno v:
Differential Geometry [math.DG]. Université de Bordeaux, 2020. English. ⟨NNT : 2020BORD0302⟩
This thesis explores the links between stochastic calculus and analysis, in a Riemannian geometric framework. We are working on extending known results and tried and tested methods for the Euclidean space Rn into new results and methods for Riemannia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2592::eeb7c4520971face539fc4afabf226fe
https://tel.archives-ouvertes.fr/tel-03162530/file/HUGUET_BAPTISTE_2020.pdf
https://tel.archives-ouvertes.fr/tel-03162530/file/HUGUET_BAPTISTE_2020.pdf
Autor:
García-Zelada, David, Huguet, Baptiste
Publikováno v:
Stochastic Analysis and Applications
Stochastic Analysis and Applications, 2021, 40 (3)
Stochastic Analysis and Applications, 2021, 40 (3)
We consider the Brenier-Schr{\"o}dinger problem on compact manifolds with boundary. In the spirit of a work by Arnaudon, Cruzeiro, L{\'e}onard and Zambrini, we study the kinetic property of regular solutions and obtain a link to the Navier-Stokes equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::576c974ab69fb63452c33191f9dc2f61
http://hdl.handle.net/20.500.12278/113077
http://hdl.handle.net/20.500.12278/113077
Autor:
HUGUET, Baptiste
Publikováno v:
Differential Geometry [math.DG]. Université de Bordeaux, 2020. English. ⟨NNT : 2020BORD0302⟩
This thesis explores the links between stochastic calculus and analysis, in a Riemannian geometric framework. We are working on extending known results and tried and tested methods for the Euclidean space Rn into new results and methods for Riemannia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::377c254eb801d206cb72f858f5b11a1a
http://hdl.handle.net/20.500.12278/113052
http://hdl.handle.net/20.500.12278/113052