46 citations · 255 across the 22 of their papers we have counts for
22 papers
Branching random tessellations with interaction: A thermodynamic view
Hans-Otto Georgii, Tomasz Schreiber, Christoph Thäle
A branching random tessellation (BRT) is a stochastic process that transforms a coarse initial tessellation of into a finer tessellation by means of random cell divi…
Second-Order Theory for Iteration Stable Tessellations
Tomasz Schreiber, Christoph Thaele
This paper deals with iteration stable (STIT) tessellations, and, more generally, with a certain class of tessellations that are infinitely divisible with respect to iteration. The…
Limit theorems for iteration stable tessellations
Tomasz Schreiber, Christoph Thaele
The intent of this paper is to describe the large scale asymptotic geometry of iteration stable (STIT) tessellations in , which form a rather new, rich and flexible c…
Geometry of iteration stable tessellations: Connection with Poisson hyperplanes
Tomasz Schreiber, Christoph Thaele
Since the seminal work by Nagel and Weiss, the iteration stable (STIT) tessellations have attracted considerable interest in stochastic geometry as a natural and flexible, yet anal…
Shape-Driven Nested Markov Tessellations
Tomasz Schreiber, Christoph Thaele
A new and rather broad class of stationary (i.e. stochastically translation invariant) random tessellations of the -dimensional Euclidean space is introduced, which are called s…
Moderate deviations for stabilizing functionals in geometric probability
Peter Eichelsbacher, Martin Raic, Tomasz Schreiber
The purpose of the present paper is to establish explicit bounds on moderate deviation probabilities for a rather general class of geometric functionals enjoying the stabilization…