Stochastic higher spin six vertex model and Macdonald measures
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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 asymptotic analysis of the corresponding Schur measures.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Journal of Mathematical Physics
American Institute of Physics (AIP)
Borodin, Alexei. “Stochastic Higher Spin Six Vertex Model and Macdonald Measures.” Journal of Mathematical Physics 59, 2 (February 2018): 023301 © 2018 Author(s)