30 citations · 54 across the 5 of their papers we have counts for
5 papers
Continuum percolation for Gibbs point processes
Kaspar Stucki
We consider percolation properties of the Boolean model generated by a Gibbs point process and balls with deterministic radius. We show that for a large class of Gibbs point proces…
Bounds for the probability generating functional of a Gibbs point process
Kaspar Stucki, Dominic Schuhmacher
We derive explicit lower and upper bounds for the probability generating functional of a stationary locally stable Gibbs point process, which can be applied to summary statistics l…
Gibbs point process approximation: Total variation bounds using Stein's method
Dominic Schuhmacher, Kaspar Stucki
We obtain upper bounds for the total variation distance between the distributions of two Gibbs point processes in a very general setting. Applications are provided to various well-…
Invariance properties of random vectors and stochastic processes based on the zonoid concept
Ilya Molchanov, Michael Schmutz, Kaspar Stucki
Two integrable random vectors and in are said to be zonoid equivalent if, for each , the scalar products and $\lan…
Stationarity of multivariate particle systems
Ilya Molchanov, Kaspar Stucki
A particle system is a family of i.i.d. stochastic processes with values translated by Poisson points. We obtain conditions that ensure the stationarity in time of the particle sys…