2 papers
math.PR2026
On strong sharp phase transition in the random connection model
Mikhail Chebunin, Günter Last
We consider a random connection model (RCM) driven by a Poisson process . We derive exponential moment bounds for an arbitrary cluster, provided that the intensity of…
math.PR2025
On the uniqueness of the infinite cluster and the cluster density in the Poisson driven random connection model
Mikhail Chebunin, Günter Last
We consider a random connection model (RCM) on a general space driven by a Poisson process whose intensity measure is scaled by a parameter . We say that the infinite clust…