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VOL. 87 | 2021 Invariance of polymer partition functions under the geometric RSK correspondence
Ivan Corwin

Editor(s) Yuzuru Inahama, Hirofumi Osada, Tomoyuki Shirai

Abstract

We prove that the values of discrete directed polymer partition functions involving multiple non-intersecting paths remain invariant under replacing the background weights by their images under the geometric RSK correspondence. This result is inspired by a recent and remarkable identity proved by Dauvergne, Orthmann and Virág which is recovered as the zero-temperature, semi-discrete limit of our main result.

Information

Published: 1 January 2021
First available in Project Euclid: 20 January 2022

Digital Object Identifier: 10.2969/aspm/08710089

Subjects:
Primary: 05E99

Keywords: Directed polymers , Kardar-Parisi-Zhang , RSK correspondence

Rights: Copyright © 2021 Mathematical Society of Japan

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