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arXiv · 2408.06918

Inhomogeneous long-range percolation in the strong decay regime: recurrence in one dimension

Christian Mönch
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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)).

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Christian Mönch. 2024-08-13. Inhomogeneous long-range percolation in the strong decay regime: recurrence in one dimension. https://arxiv.org/abs/2408.06918

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