78 citations · 192 across the 11 of their papers we have counts for
11 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…
Existence of Gibbsian point processes with geometry-dependent interactions
David Dereudre, Remy Drouilhet, Hans-Otto Georgii
We establish the existence of stationary Gibbsian point processes for interactions that act on hyperedges between the points. For example, such interactions can depend on Delaunay…
Variational characterisation of Gibbs measures with Delaunay triangle interaction
David Dereudre, Hans-Otto Georgii
This paper deals with stationary Gibbsian point processes on the plane with an interaction that depends on the tiles of the Delaunay triangulation of points via a bounded triangle…
Mutation, selection, and ancestry in branching models: a variational approach
Ellen Baake, Hans-Otto Georgii
We consider the evolution of populations under the joint action of mutation and differential reproduction, or selection. The population is modelled as a finite-type Markov branchin…
Conditional Intensity and Gibbsianness of Determinantal Point Processes
Hans-Otto Georgii, Hyun Jae Yoo
The Papangelou intensities of determinantal (or fermion) point processes are investigated. These exhibit a monotonicity property expressing the repulsive nature of the interaction,…
Some Jump Processes in Quantum Field Theory
Roderich Tumulka, Hans-Otto Georgii
A jump process for the positions of interacting quantum particles on a lattice, with time-dependent transition rates governed by the state vector, was first considered by J.S. Bell…