177 citations · 1.1k across the 46 of their papers we have counts for
46 papers
Condensation in zero-range processes with a fast rate
Watthanan Jatuviriyapornchai, Stefan Grosskinsky
We introduce a simple zero-range process with constant rates and one fast rate for a particular occupation number, which diverges with the system size. Surprisingly, this minor mod…
Size-biased diffusion limits and the inclusion process
Paul Chleboun, Simon Gabriel, Stefan Grosskinsky
We consider the inclusion process on the complete graph with vanishing diffusivity, which leads to condensation of particles in the thermodynamic limit. Describing particle configu…
Asymptotics of generalized Pólya urns with non-linear feedback
Thomas Gottfried, Stefan Grosskinsky
Generalized Pólya urns with non-linear feedback are an established probabilistic model to describe the dynamics of growth processes with reinforcement, a generic example being comp…
A Study of UK Household Wealth through Empirical Analysis and a Non-linear Kesten Process
Samuel Forbes, Stefan Grosskinsky
We study the wealth distribution of UK households through a detailed analysis of data from wealth surveys and rich lists, and propose a non-linear Kesten process to model the dynam…
Poisson-Dirichlet asymptotics in condensing particle systems
Paul Chleboun, Simon Gabriel, Stefan Grosskinsky
We study measures on random partitions, arising from condensing stochastic particle systems with stationary product distributions. We provide fairly general conditions on the stati…
Structure of the condensed phase in the inclusion process
Watthanan Jatuviriyapornchai, Paul Chleboun, Stefan Grosskinsky
We establish a complete picture of condensation in the inclusion process in the thermodynamic limit with vanishing diffusion, covering all scaling regimes of the diffusion paramete…