There is no stationary cyclically monotone Poisson matching in 2d
DOI10.1007/s00440-023-01225-5zbMath1527.60016arXiv2109.13590OpenAlexW3204921266MaRDI QIDQ6070363
Martin Huesmann, Francesco Mattesini, Felix Otto
Publication date: 20 November 2023
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.13590
independent Poisson processescyclically monotone stationary matchingharmonic approximation approachtwo-dimensional matching problem
Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22) PDEs with measure (35R06) Optimal transportation (49Q22)
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