10 citations · 13 across the 5 of their papers we have counts for
7 papers
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 .…
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 ac…
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…
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…
Two-sided immigration, emigration and symmetry properties of self-similar interval partition evolutions
Quan Shi, Matthias Winkel
Forman et al. (2020+) constructed -interval partition evolutions for and , in which the total sums of interval lengths ("total mass") evolve as squared B…
Diffusions on a space of interval partitions: The two-parameter model
Noah Forman, Douglas Rizzolo, Quan Shi +1
We introduce and study interval partition diffusions with Poisson--Dirichlet stationary distribution for parameters and . This extends previous work on t…
A two-parameter family of measure-valued diffusions with Poisson-Dirichlet stationary distributions
Noah Forman, Douglas Rizzolo, Quan Shi +1
We give a pathwise construction of a two-parameter family of purely-atomic-measure-valued diffusions in which ranked masses of atoms are stationary with the Poisson-Dirichlet$(α,θ)…