6 papers · 1 filter
Stochastic analysis for the Dirichlet--Ferguson process
Günter Last, Babette Picker
We study a Dirichlet--Ferguson process on a general phase space. First we reprove the chaos expansion from Peccati (2008), providing an explicit formula for the kernel function…
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…
Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples
Michael A. Klatt, Günter Last, Luca Lotz +1
We consider invariant transports of stationary random measures on and establish natural mixing criteria that guarantee persistence of asymptotic variances. To check…
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…
Tail processes and tail measures: An approach via Palm calculus
Günter Last
Using an intrinsic approach, we study some properties of random fields which appear as tail fields of regularly varying stationary random fields. The index set is allowed to be a g…
What is typical?
Guenter Last, Hermann Thorisson
Let be a random measure on a locally compact second countable topological group and let be a random element in a measurable space on which the group acts. In the compact ca…