Stochastic higher spin six vertex model and Madconald measures

Abstract

We prove an identity that relates the q-Laplace transform of the height function of a (higher spin inhomogeneous) stochastic six vertex model in a quadrant on one side, and a multiplicative functional of a Macdonald measure on the other. The identity is used to prove the GUE Tracy-Widom asymptotics for two instances of the stochastic six vertex model via asymptotics analysis of the corresponding Schur measures.

20 pages

References in corpus (2)

• Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
• Moments Match between the KPZ Equation and the Airy Point Process

Cited by in corpus (4)

• Moments Match between the KPZ Equation and the Airy Point Process
• Between the stochastic six vertex model and Hall-Littlewood processes
• Fluctuations for stationary $q$-TASEP
• Stable spin Hall-Littlewood symmetric functions, combinatorial identities, and half-space Yang-Baxter random field