5 papers
Condensation in stochastic lattice gases with size-dependent stationary weights
Joshua Blank, Paul Chleboun, Stefan Grosskinsky +1
We consider stochastic lattice gases with stationary product weights and a polynomial perturbation vanishing with the system size that leads to condensation. If the density of part…
Long-range correlations in a locally constrained exclusion process
Stefan Großkinsky, Gunter Schütz, Ali Zahra
We introduce a novel exclusion process with a simple local kinetic constraint that leads to a remarkable transition between a homogeneous phase with short-range correlations and a…
Tails of explosive birth processes and applications to non-linear P ólya urns
Thomas Gottfried, Stefan Grosskinsky
We derive a simple expression for the tail-asymptotics of an explosive birth process at a fixed observation time conditioned on non-explosion. Using the well-established exponentia…
Tagged particles and size-biased dynamics in mean-field interacting particle systems
Angeliki Koutsimpela, Stefan Grosskinsky
We establish a connection between tagged particles and size-biased empirical processes in interacting particle systems, in analogy to classical results on the propagation of chaos.…
Wages and Capital returns in a generalized Pólya urn
Thomas Gottfried, Stefan Grosskinsky
It is a widely observed phenomenon that wealth is distributed significantly more unequal than wages. In this paper we study this phenomenon using a new extension of Pólyas urn, mod…