31 citations · 165 across the 40 of their papers we have counts for
4 papers · 1 filter
Hard-edge asymptotics of the Jacobi growth process
Mark Cerenzia, Jeffrey Kuan
We introduce a two parameter () family of interacting particle systems with determinantal correlation kernels expressible in terms of Jacobi polynomials $\{ P^{(α, β)}_k \…
A Multi-species ASEP(q,j) and q-TAZRP with Stochastic Duality
Jeffrey Kuan
This paper introduces a multi-species version of a process called ASEP(q,j). In this process, up to 2j particles are allowed to occupy a lattice site, the particles drift to the ri…
An interacting particle system with geometric jump rates near a partially reflecting boundary
Jeffrey Kuan
This paper constructs a new interacting particle system on a two--dimensional lattice with geometric jumps near a boundary which partially reflects the particles. The projection to…
A (2+1)-dimensional Gaussian field as fluctuations of quantum random walks on quantum groups
Jeffrey Kuan
This paper introduces a (2+1)-dimensional Gaussian field which has the Gaussian free field on the upper half-plane with zero boundary conditions as certain two-dimensional sections…