香蕉视频

罢颈迟濒别:听Universality of directed polymers in the intermediate disorder regime.

Abstract: In 2018, Krishnan and Quastel showed that the fluctuations of Sepp盲l盲inen's log-gamma polymer converge in law to the Tracy-Widom GUE distribution in the intermediate disorder regime. This regime corresponds to taking the inverse temperature $\beta$ to depend on the length of the polymer $2n$, with $\beta=n^{-\alpha}$ for some $\alpha<1/4$. They also conjectured that this should hold for random directed polymers with general i.i.d weights. In this talk, I will sketch a proof of their conjecture for $1/5<\alpha<1/4$, using a kind of 鈥渓ocal chaos expansion鈥�.niversality of directed polymers in the intermediate disorder regime.

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