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

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

Adv. Stud. Pure Math., 2021: 89-136 (2021) DOI: 10.2969/aspm/08710089

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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