2 papers
math.PR2025
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 $η…
math.PR2024
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…