3 papers
math.PR2026
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…
math.PR2024
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…
math.PR2024
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…