Séminaire Lotharingien de Combinatoire, 91B.23 (2024), 12 pp.
Shinsuke Iwao, Kohei Motegi and Travis Scrimshaw
Inhomogeneous Particle Process Defined by Canonical Grothendieck Polynomials
Abstract.
We construct a time, particle, and position inhomogeneous discrete
time particle process on the nonnegative integers that generalizes one
of those studied in a Dieker and Warren. The particles move according
to an inhomogeneous geometric distribution and stay in (weakly)
decreasing order, where smaller particles block larger particles. We
show that the transition probabilities for our particle process is
given by a (refined) canonical Grothendieck function up to a simple
overall factor.
Received: November 15, 2023.
Accepted: February 15, 2024.
Final version: April 1, 2024.
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