59 citations · 238 across the 21 of their papers we have counts for
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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…