Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Brigati, Giovanni"'
Measuring distances in a multidimensional setting is a challenging problem, which appears in many fields of science and engineering. In this paper, to measure the distance between two multivariate distributions, we introduce a new measure of discrepa
Externí odkaz:
http://arxiv.org/abs/2411.01052
We study the long-time convergence behavior of underdamped Langevin dynamics, when the spatial equilibrium satisfies a weighted Poincar\'e inequality, with a general velocity distribution, which allows for fat-tail or subexponential potential energie
Externí odkaz:
http://arxiv.org/abs/2407.16033
Autor:
Brigati, Giovanni, Pedrotti, Francesco
In this paper we derive estimates for the Hessian of the logarithm (log-Hessian) for solutions to the heat equation. For initial data in the form of log-Lipschitz perturbation of strongly log-concave measures, the log-Hessian admits an explicit, unif
Externí odkaz:
http://arxiv.org/abs/2404.15205
Autor:
Brigati, Giovanni
We review recent contributions on nonlinear Dirichlet forms. Then, we specialise to the case of 2-homogeneous and local forms. Inspired by the theory of Finsler manifolds and metric measure spaces, we establish new properties of such nonlinear Dirich
Externí odkaz:
http://arxiv.org/abs/2309.00377
This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.
Externí odkaz:
http://arxiv.org/abs/2303.12926
Autor:
Brigati, Giovanni, Stoltz, Gabriel
We study time averages for the norm of solutions to kinetic Fokker--Planck equations associated with general Hamiltonians. We provide fully explicit and constructive decay estimates for systems subject to a confining potential, allowing fat-tail, sub
Externí odkaz:
http://arxiv.org/abs/2302.14506
This paper is devoted to Gaussian interpolation inequalities with endpoint cases corresponding to the Gaussian Poincar\'e and the logarithmic Sobolev inequalities, seen as limits in large dimensions of Gagliardo-Nirenberg-Sobolev inequalities on sphe
Externí odkaz:
http://arxiv.org/abs/2302.03926
We consider Gagliardo-Nirenberg inequalities on the sphere which interpolate between the Poincar\'e inequality and the Sobolev inequality, and include the logarithmic Sobolev inequality as a special case. We establish explicit stability results in th
Externí odkaz:
http://arxiv.org/abs/2211.13180
Autor:
Brigati, Giovanni, Hartarsky, Ivailo
Publikováno v:
Potential Anal 60, 473-488 (2024)
We analyse the class of convex functionals $\mathcal E$ over $\mathrm{L}^2(X,m)$ for a measure space $(X,m)$ introduced by Cipriani and Grillo and generalising the classic bilinear Dirichlet forms. We investigate whether such non-bilinear forms verif
Externí odkaz:
http://arxiv.org/abs/2205.02928
Publikováno v:
In Journal of Functional Analysis 15 October 2024 287(8)
