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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.PR2020
Invariance principle for random walks on dynamically averaging random conductances
Stein Andreas Bethuelsen, Christian Hirsch, Christian Mönch
We prove an invariance principle for continuous-time random walks in a dynamically averaging environment on . In the beginning, the conductances may fluctuate substantia…
math.PR2016
Persistence probabilities and a decorrelation inequality for the Rosenblatt process and Hermite processes
Frank Aurzada, Christian Mönch
We study persistence probabilities of Hermite processes. As a tool, we derive a general decorrelation inequality for the Rosenblatt process, which is reminiscent of Slepian's lemma…