There is no stationary \(p\)-cyclically monotone Poisson matching in 2d

DOI10.1214/24-ejp1171MaRDI QIDQ6614480

Felix Otto, Francesco Mattesini, Martin Huesmann

Publication date: 7 October 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

zbMATH Keywords

invariancematchingstationarityPoisson processesallocationoptimal transportcyclical monotonicity

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Optimal transportation (49Q22)

Cites Work

• Title not available (Why is that?)
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• A Poisson allocation of optimal tail
• Optimal transport from Lebesgue to Poisson
• Geometric properties of Poisson matchings
• Poisson matching
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• A new modified logarithmic Sobolev inequality for Poisson point processes and several applications
• Minimal matchings of point processes
• \(L^\infty\)-estimates in optimal transport for non quadratic costs
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Combinatorial Optimization Over Two Random Point Sets
• Optimal Transport
• Optimal transport between random measures
• Geometric linearisation for optimal transport with strongly \(p\)-convex cost

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