10 citations · 13 across the 5 of their papers we have counts for
4 papers · 1 filter
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)…