English

A Compactness Theorem for functions on Poisson point clouds

Analysis of PDEs 2022-05-12 v1 Dynamical Systems Probability

Abstract

In this work we show a compactness Theorem for discrete functions on Poisson point clouds. We consider sequences with equibounded non-local pp-Dirichlet energy: the novelty consists in the intermediate-interaction regime at which the non-local energy is computed.

Keywords

Cite

@article{arxiv.2205.05465,
  title  = {A Compactness Theorem for functions on Poisson point clouds},
  author = {Marco Caroccia},
  journal= {arXiv preprint arXiv:2205.05465},
  year   = {2022}
}
R2 v1 2026-06-24T11:14:12.737Z