59 citations · 238 across the 21 of their papers we have counts for
23 papers · 1 filter
Limit shape for domain-wall six-vertex model
Alexey Bufetov
In this note we announce limit shape theorems for the height function of the six-vertex model in the antiferroelectric (for arbitrary ) and disordered (in a restricted range…
Limiting shape of alternating sign matrices
Alexey Bufetov, Evgeny Obukhov
In this note we announce the limiting shape for the height function of a uniformly distributed alternating sign matrix (equivalently, a six-vertex model with equal weights and doma…
Periodic ASEP and random walks on affine Hecke Algebra
Alexey Bufetov, Nimisha Pahuja
We study the large time behavior of a periodic ASEP with fixed period started from the step initial condition. We establish the limit shape theorem and the asymptotic distribution…
Leaders in multi-type TASEP
Alexei Borodin, Alexey Bufetov
We study the totally asymmetric simple exclusion process (TASEP) on with step initial condition, in which all particles have distinct types. Our main object of interes…
ASEP via Mallows coloring
Alexei Borodin, Alexey Bufetov
In this paper we study the asymptotic behavior of the Asymmetric Simple Exclusion Process (=ASEP) with finitely many particles. It turns out that a certain randomized initial condi…
Mallows Product Measure
Alexey Bufetov, Kailun Chen
Q-exchangeable ergodic distributions on the infinite symmetric group were classified by Gnedin-Olshanski (2012). In this paper, we study a specific linear combination of the ergodi…
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…
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…
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…
Yang-Baxter field for spin Hall-Littlewood symmetric functions
Alexey Bufetov, Leonid Petrov
Employing bijectivisation of summation identities, we introduce local stochastic moves based on the Yang-Baxter equation for . Combining these moves…
Fourier transform on high-dimensional unitary groups with applications to random tilings
Alexey Bufetov, Vadim Gorin
A combination of direct and inverse Fourier transforms on the unitary group identifies normalized characters with probability measures on -tuples of integers. We develop…
Hall-Littlewood RSK field
Alexey Bufetov, Konstantin Matveev
We introduce a randomized Hall-Littlewood RSK algorithm and study its combinatorial and probabilistic properties. On the probabilistic side, a new model --- the Hall-Littlewood RSK…
Between the stochastic six vertex model and Hall-Littlewood processes
Alexei Borodin, Alexey Bufetov, Michael Wheeler
We prove that the joint distribution of the values of the height function for the stochastic six vertex model in a quadrant along a down-right path coincides with that for the leng…
Asymptotics of random domino tilings of rectangular Aztec diamonds
Alexey Bufetov, Alisa Knizel
We consider asymtotics of a domino tiling model on a class of domains which we call rectangular Aztec diamonds. We prove the Law of Large Numbers for the corresponding height funct…
Fluctuations of particle systems determined by Schur generating functions
Alexey Bufetov, Vadim Gorin
We develop a new toolbox for the analysis of the global behavior of stochastic discrete particle systems. We introduce and study the notion of the Schur generating function of a ra…
Law of Large Numbers for Infinite Random Matrices over a Finite Field
Alexey Bufetov, Leonid Petrov
Asymptotic representation theory of general linear groups GL(n,q) over a finite field leads to studying probability measures ρon the group U of all infinite uni-uppertriangular mat…
Kerov's interlacing sequences and random matrices
Alexey Bufetov
To a real symmetric matrix Kerov assigns a piecewise linear function whose local minima are the eigenvalues of this matrix and whose local maxima are the eigenvalues o…