46 citations · 159 across the 30 of their papers we have counts for
4 papers · 2 filters
On the Ornstein-Zernike equation for stationary cluster processes and the random connection model
Günter Last, Sebastian Ziesche
In the first part of this paper we consider a general stationary subcritical cluster model in . The associated pair-connectedness function can be defined in terms of…
Inclusion-exclusion principles for convex hulls and the Euler relation
Zakhar Kabluchko, Günter Last, Dmitry Zaporozhets
Consider points in and denote their convex hull by . We prove a number of inclusion-exclusion identities for the system of convex hulls $Π_I:=…
Second order analysis of geometric functionals of Boolean models
Daniel Hug, Michael A. Klatt, Günter Last +1
This paper presents asymptotic covariance formulae and central limit theorems for geometric functionals, including volume, surface area, and all Minkowski functionals and translati…
On the capacity functional of the infinite cluster of a Boolean model
Günter Last, Mathew D. Penrose, Sergei Zuyev
The original 2017 version of this paper, published in Ann. Appl. Probab., 27, 1678--1801, contains a major gap in the proofs. In the subsequent publication in Ann. Appl. Probab., 3…