2 papers
math.PR2025
Gap metrics for stationary point processes and quantitative convexity of the free energy
Martin Huesmann, Bastian Müller
In this article, we are interested in convexity properties of the free energy for stationary point processes on w.r.t.\ a new geometry inspired by optimal transport. We…
math.PR2025
Asymptotics for Random Quadratic Transportation Costs
Martin Huesmann, Michael Goldman, Dario Trevisan
We establish the validity of asymptotic limits for the general transportation problem between random i.i.d. points and their common distribution, with respect to the squared Euclid…