Institute of Mathematics for Industry

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Gaussian fluctuations in directed polymers


Hold Date 2019-10-18 16:30~2019-10-18 18:00

Place Seminar Room W1-D-725, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Shuta NAKAJIMA (Nagoya University)

Abstract:
In this talk, we consider the discrete directed polymer model with i.i.d. environment and we study the fluctuations of the partition function. It was proved by Comets and Liu that for sufficiently high temperature, the fluctuations converge in distribution towards the product of the limiting partition function and an independent Gaussian random variable. We extend the result to the whole L^2-region, which is predicted to be the maximal high-temperature region where the Gaussian fluctuations should occur under the considered scaling. This is joint work with Clément Cosco.