### A coupling approach to sharp moderate deviation and exit estimates for integrable polymer models

Probability Seminar

22nd October 2021, 3:30 pm – 4:30 pm

Fry Building, 2.04 (also on Zoom)

Tail and exit point estimates in models within the Kardar-Pairis-Zhang universality class have played a particularly important role in mathematical work seeking to make physically motivated heuristic arguments about random growth models rigorous. Previous approaches to proving these estimates in integrable growth models have centered on case-by-case analysis using inputs from integrable probability. This talk will discuss a new probabilistic approach based on coupling which gives a unified argument proving sharp upper-tail moderate deviation and exit point bounds for all known integrable directed polymer models simultaneously.

Based on joint works (in progress) with Elnur Emrah, Timo Seppäläinen, and Yongjia Xie.

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