Gunter Last

collaborators

4 papers

math.PR2026

Stochastic analysis for the Dirichlet--Ferguson process

GÃ¼nter Last, Babette Picker

We study a Dirichlet--Ferguson process $I^¶$ on a general phase space. First we reprove the chaos expansion from Peccati (2008), providing an explicit formula for the kernel functio…

math.PR2026

On strong sharp phase transition in the random connection model

Mikhail Chebunin, GÃ¼nter Last

We consider a random connection model (RCM) $I^¾$ driven by a Poisson process $I^\cdot$ . We derive exponential moment bounds for an arbitrary cluster, provided that the intensity $t$ of…

math.PR2025

On the uniqueness of the infinite cluster and the cluster density in the Poisson driven random connection model

Mikhail Chebunin, GÃ¼nter 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 $t \geq 0$ . We say that the infinite clust…

math.PR2025

Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples

Michael A. Klatt, GÃ¼nter Last, Luca Lotz +1

We consider invariant transports of stationary random measures on $R^{d}$ and establish natural mixing criteria that guarantee persistence of asymptotic variances. To check…