14 citations · 17 across the 2 of their papers we have counts for
9 papers
TASEP with a moving wall
Alexei Borodin, Alexey Bufetov, Patrik L. Ferrari
We consider a totally asymmetric simple exclusion on with the step initial condition, under the additional restriction that the first particle cannot cross a determini…
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…
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…
Color-position symmetry in interacting particle systems
Alexei Borodin, Alexey Bufetov
We prove a color-position symmetry for a class of ASEP-like interacting particle systems with discrete time on the one-dimensional lattice. The full space-time inhomogeneity of our…
Yang-Baxter random fields and stochastic vertex models
Alexey Bufetov, Matteo Mucciconi, Leonid Petrov
Bijectivization refines the Yang-Baxter equation into a pair of local Markov moves which randomly update the configuration of the vertex model. Employing this approach, we introduc…
Stochasticization of Solutions to the Yang-Baxter Equation
Amol Aggarwal, Alexei Borodin, Alexey Bufetov
In this paper we introduce a procedure that, given a solution to the Yang-Baxter equation as input, produces a stochastic (or Markovian) solution to (a possibly dynamical version o…