Wasserstein distance on configuration space

DOI10.1007/s11118-008-9077-5zbMath1144.60004arXivmath/0602134OpenAlexW2045165708MaRDI QIDQ2426685

Laurent Decreusefond

Publication date: 23 April 2008

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602134

zbMATH Keywords

configuration spacePoisson processoptimal transportation problemMonge-Kantorovitch

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Stochastic calculus of variations and the Malliavin calculus (60H07) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (5)

A saddle-point approach to the Monge-Kantorovich optimal transport problem ⋮ Curvature bounds for configuration spaces ⋮ Transport inequalities for random point measures ⋮ Optimal transport between determinantal point processes and application to fast simulation ⋮ Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to \(U\)-statistics and stochastic geometry

Cites Work

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• Stein's method and point process approximation
• Analysis and geometry on configuration spaces
• Abstract cyclical monotonicity and Monge solutions for the general Monge-Kantorovich problem
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• Monge-Kantorovitch measure transportation and Monge-Ampère equation on Wiener space
• Estimating Stein's constants for compound Poisson approximation
• Compound Poisson process approximation.
• Compound Poisson approximation: A user's guide
• On \(c\)-optimal random variables
• Rademacher's theorem on configuration spaces and applications
• An Introduction to the Theory of Point Processes
• Poisson approximation, compensators and coupling

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