1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.PR2025
Non-local Wasserstein Geometry, Gradient Flows, and Functional Inequalities for Stationary Point Processes
Martin Huesmann, Hanna Stange
We construct a non-local Benamou-Brenier-type transport distance on the space of stationary point processes and analyse the induced geometry. We show that our metric is a specific…
math.PR2024★ 1 cited
(Non)-hyperuniformity of perturbed lattices
David Dereudre, Daniela Flimmel, Martin Huesmann +1
We ask whether a stationary lattice in dimension whose points are shifted by identically distributed but possibly dependent perturbations remains hyperuniform. When or…
math.PR2024★ 1 cited
The link between hyperuniformity, Coulomb energy, and Wasserstein distance to Lebesgue for two-dimensional point processes
Martin Huesmann, Thomas Leblé
We investigate the interplay between three possible properties of stationary point processes: i) Finite Coulomb energy with short-scale regularization, ii) Finite -Wasserstein t…