113 citations · 178 across the 7 of their papers we have counts for
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math.PR2023★ 4 cited
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…
math.PR2021★ 4 cited
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…
math.PR2021★ 1 cited
Central limit theorems for the (2+1)-dimensional directed polymer in the weak disorder limit
Simon Gabriel
In this article, we present an invariance principle for the paths of the directed random polymer in space dimension two in the subcritical intermediate disorder regime. More precis…