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Gaussian fluctuations in directed polymers


開催時期 2019-10-18 16:30~2019-10-18 18:00

場所 九州大学 伊都キャンパス ウエスト1号館 中セミナー室 W1-D-725

受講対象  

講師 中島 秀太 (名古屋大学)

【講演概要】
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.