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Inhomogeneous long-range percolation in the strong decay regime: recurrence in one dimension (2408.06918v1)
Published 13 Aug 2024 in math.PR
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)).