Seminar in probability theory: Shuta Nakajima (University of Nagoya)

Gaussian fluctuations in directed polymers

In this talk, we consider the discrete directed polymermodel with i.i.d. environment and we study the fluctuations of thepartition function. It was proven by Comets and Liu that forsufficiently high temperature, the fluctuations converge indistribution towards the product of the limiting partition functionand an independent Gaussian random variable. We extend the result tothe whole L^2-region, which is predicted to be the maximalhigh-temperature region where the Gaussian fluctuations should occurunder the considered scaling. This is joint work with Clément Cosco.

Veranstaltung übernehmen als iCal