46 citations · 159 across the 30 of their papers we have counts for
31 papers · 1 filter
Boolean models in hyperbolic space
Daniel Hug, Günter Last, Matthias Schulte
The union of the particles of a stationary Poisson process of compact (convex) sets in Euclidean space is called Boolean model and is a classical topic of stochastic geometry. In t…
Boolean models
Daniel Hug, Günter Last, Wolfgang Weil
The topic of this survey are geometric functionals of a Boolean model (in Euclidean space) governed by a stationary Poisson process of convex grains. The Boolean model is a fundame…
Normal approximation of Kabanov-Skorohod integrals on Poisson spaces
Günter Last, Ilya Molchanov, Matthias Schulte
We consider the normal approximation of Kabanov-Skorohod integrals on a general Poisson space. Our bounds are for the Wasserstein and the Kolmogorov distance and involve only diffe…
Transportation of diffuse random measures on
Günter Last, Hermann Thorisson
We consider two jointly stationary and ergodic random measures and on with equal finite intensities, assuming to be diffuse. An allocation is a random ma…
On the uniqueness of Gibbs distributions with a non-negative and subcritical pair potential
Steffen Betsch, Günter Last
We prove that the distribution of a Gibbs process with non-negative pair potential is uniquely determined as soon as an associated Poisson-driven random connection model (RCM) does…
Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees
Günter Last, Giovanni Peccati, D. Yogeshwaran
Proofs of sharp phase transition and noise sensitivity in percolation have been significantly simplified by the use of randomized algorithms, via the OSSS inequality (proved by O'D…