5 papers
Biased branching random walks on Bienaymé--Galton--Watson trees
Julien Berestycki, Nina Gantert, David Geldbach +1
We study -biased branching random walks on Bienaymé--Galton--Watson trees in discrete time. We consider the maximal displacement at time , $\max_{\vert u \vert =n} \vert X(…
From multitype branching Brownian motions to branching Markov additive processes
Yutao Liang, Yan-Xia Ren, Quan Shi +1
We study a class of multitype branching Lévy processes, where particles move according to type-dependent Lévy processes, switch types via an irreducible Markov chain, and branch…
Up-down ordered Chinese restaurant processes with two-sided immigration, emigration and diffusion limits
Quan Shi, Matthias Winkel
We establish scaling limit theorems for the up-down ordered Chinese restaurant processes (oCRPs) of Rogers and Winkel as processes in a space of interval partitions. As previously…
Stochastic Flows and Marked Stable Processes
Elie Aïdékon, Quan Shi, Chengshi Wang
We construct a random partition of the space-time plane using two coupled stochastic squared Bessel flows, whose parameters differ by .…
The structure of entrance and exit at infinity for time-changed Lévy processes
Samuel Baguley, Leif Döring, Quan Shi
Studying the behaviour of Markov processes at boundary points of the state space has a long history, dating back all the way to William Feller. With different motivations in mind e…