A fluctuation result for the displacement in the optimal matching problem
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Publication:2139105
DOI10.1214/21-AOP1562zbMath1491.35137arXiv2105.02915OpenAlexW3163671678MaRDI QIDQ2139105
Michael Goldman, Martin Huesmann
Publication date: 17 May 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.02915
Random fields (60G60) Gaussian processes (60G15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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On the quadratic random matching problem in two-dimensional domains, Optimal Matching of Random Samples and Rates of Convergence of Empirical Measures, Optimal transport methods for combinatorial optimization over two random point sets, Geometric linearisation for optimal transport with strongly \(p\)-convex cost
Cites Work
- Optimal transport from Lebesgue to Poisson
- Constructive quantization: approximation by empirical measures
- A theory of regularity structures
- On the rate of convergence in Wasserstein distance of the empirical measure
- Theory of function spaces II
- On optimal matchings
- The transportation cost from the uniform measure to the empirical measure in dimension \(\geq 3\)
- Probability theory of classical Euclidean optimization problems
- A PDE approach to a 2-dimensional matching problem
- Quasilinear SPDEs via rough paths
- Asymptotics for \(L_2\) functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances
- A simple Fourier analytic proof of the AKT optimal matching theorem
- Stein's method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem
- On the optimal map in the 2-dimensional random matching problem
- On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
- Combinatorial Optimization Over Two Random Point Sets
- Quantitative Linearization Results for the <scp>Monge‐Ampère</scp> Equation
- One-dimensional empirical measures, order statistics, and Kantorovich transport distances
- Quantitative Stochastic Homogenization and Large-Scale Regularity
- Upper and Lower Bounds for Stochastic Processes
