59 citations · 238 across the 21 of their papers we have counts for
5 papers · 1 filter
Cutoff profile of ASEP on a segment
Alexey Bufetov, Peter Nejjar
This paper studies the mixing behavior of the Asymmetric Simple Exclusion Process (ASEP) on a segment of length . Our main result is that for particle densities in the…
Observables of stochastic colored vertex models and local relation
Alexey Bufetov, Sergei Korotkikh
We study the stochastic colored six vertex (SC6V) model and its fusion. Our main result is an integral expression for natural observables of this model -- joint q-moments of height…
Interacting particle systems and random walks on Hecke algebras
Alexey Bufetov
In this paper we show that a variety of interacting particle systems with multiple species can be viewed as random walks on Hecke algebras. This class of systems includes the asymm…
Shock fluctuations in TASEP under a variety of time scalings
Alexey Bufetov, Patrik L. Ferrari
We consider the totally asymmetric simple exclusion process (TASEP) with two different initial conditions with shock discontinuities formed by blocks of fully packed particles. Ini…
Absorbing time asymptotics in the oriented swap process
Alexey Bufetov, Vadim Gorin, Dan Romik
The oriented swap process is a natural directed random walk on the symmetric group that can be interpreted as a multi-species version of the Totally Asymmetric Simple Exclusion Pro…