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math.PR2024
Inhomogeneous long-range percolation in the strong decay regime: recurrence in one dimension
Christian Mönch
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 recurr…
math.PR2024
The mean field stubborn voter model
Lisa Hartung, Christian Mönch
We analyse the effect of agent-dependent heavy-tailed waiting times in the voter model on the complete graph with vertices. We derive a novel scaling limit and show the existen…