Stochastic higher spin six vertex model and Macdonald measures
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1608.01553.pdf
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292.55 KB
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Author(s)
Borodin, Alexei
Date Issued
February 2018
Journal
Journal of Mathematical Physics
Publisher
American Institute of Physics (AIP)
Citation
Borodin, Alexei. “Stochastic Higher Spin Six Vertex Model and Macdonald Measures.” Journal of Mathematical Physics 59, 2 (February 2018): 023301 © 2018 Author(s)
Version
Original manuscript
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 asymptotic analysis of the corresponding Schur measures.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1063/1.5000046
