Limit theorems in Wasserstein distance for empirical measures of diffusion processes on Riemannian manifolds
From MaRDI portal
Publication:2686623
DOI10.1214/22-AIHP1251WikidataQ121878523 ScholiaQ121878523MaRDI QIDQ2686623
Publication date: 28 February 2023
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.03422
Central limit and other weak theorems (60F05) Diffusion processes (60J60) Large deviations (60F10) Diffusion processes and stochastic analysis on manifolds (58J65)
Related Items (3)
Optimal transport methods for combinatorial optimization over two random point sets ⋮ Precise limit in Wasserstein distance for conditional empirical measures of Dirichlet diffusion processes ⋮ Wasserstein convergence rate for empirical measures on noncompact manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modified curvatures on manifolds with boundary and applications
- On the rate of convergence in Wasserstein distance of the empirical measure
- Harnack inequalities on manifolds with boundary and applications
- Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds
- Law of large numbers and central limit theorem for randomly forced PDE's
- Log-Sobolev inequalities: different roles of Ric and Hess
- Second fundamental form and gradient of Neumann semigroups
- On optimal matchings
- Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
- Logarithmic Sobolev inequalities and exponential integrability
- Asymptotics for transportation cost in high dimensions
- Almost sure convergence of the minimum bipartite matching functional in Euclidean space
- Uniformly integrable operators and large deviations for Markov processes
- A PDE approach to a 2-dimensional matching problem
- Functional inequalities on manifolds with non-convex boundary
- Moderate deviations of dependent random variables related to CLT
- Foundations of quantization for probability distributions
- Precise limit in Wasserstein distance for conditional empirical measures of Dirichlet diffusion processes
- Wasserstein convergence rate for empirical measures on noncompact manifolds
- Ergodic behavior of Markov processes. With applications to limit theorems
- On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
- Gradient estimates and the first Neumann eigenvalue on manifolds with boundary
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Analysis for Diffusion Processes on Riemannian Manifolds
- Combinatorial Optimization Over Two Random Point Sets
- Approximation by finitely supported measures
- Transport inequalities, gradient estimates, entropy and Ricci curvature
- Logarithmic Sobolev Inequalities
- Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds
- Analysis and Geometry of Markov Diffusion Operators
- Semicontinuity problems in the calculus of variations
This page was built for publication: Limit theorems in Wasserstein distance for empirical measures of diffusion processes on Riemannian manifolds
