A Compactness Theorem for functions on Poisson point clouds

created by caroccia on 11 May 2022

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Preprint

Inserted: 11 may 2022
Last Updated: 11 may 2022

Year: 2022

Abstract:

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