Inhomogeneous long-range percolation in the strong decay regime: recurrence in one dimension
Probability
2024-08-14 v1
Abstract
We provide a sufficient criterion for the recurrence of spatial random graphs on the real line based on the scarceness of long-edges. In particular, this complements earlier recurrence results obtained by Gracar et al. (Electron. J. Probab. 27 (2022)) and a transience criterion derived by the author (Probab. Theory Related Fields 189, no. 3-4 (2024)).
Cite
@article{arxiv.2408.06918,
title = {Inhomogeneous long-range percolation in the strong decay regime: recurrence in one dimension},
author = {Christian Mönch},
journal= {arXiv preprint arXiv:2408.06918},
year = {2024}
}