3 papers
math.PR2023
Cutoff for the Glauber-Exclusion process in the full high-temperature regime: an information percolation approach
Hong-Quan Tran
The Glauber-Exclusion process is a superposition of a Glauber dynamics and the Symmetric Simple Exclusion Process (SSEP) on the lattice. The model was shown to admit a reaction-dif…
math.PR2022
Cutoff for the non reversible SSEP with reservoirs
Hong-Quan Tran
We consider the Symmetric Simple Exclusion Process (SSEP) on the segment with two reservoirs of densities at the two endpoints. We show that the system exhibits cu…
math.PR2021
The mean-field Zero-Range process with unbounded monotone rates: mixing time, cutoff, and Poincaré constant
Hong-Quan Tran
We consider the mean-field Zero-Range process in the regime where the potential function is increasing to infinity at sublinear speed, and the density of particles is bounded.…