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UID:news894@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190605T113341
DTSTART;TZID=Europe/Zurich:20190617T110000
SUMMARY:Seminar in probability theory: Shuta Nakajima (University of Nagoya
 )
DESCRIPTION:In this talk\, we consider the discrete directed polymermodel w
 ith i.i.d. environment and we study the fluctuations of thepartition funct
 ion. It was proven by Comets and Liu that forsufficiently high temperature
 \, the fluctuations converge indistribution towards the product of the lim
 iting partition functionand an independent Gaussian random variable. We ex
 tend the result tothe whole L^2-region\, which is predicted to be the maxi
 malhigh-temperature region where the Gaussian fluctuations should occurund
 er the considered scaling. This is joint work with Clément Cosco.
X-ALT-DESC: In this talk\, we consider the discrete directed polymermodel w
 ith i.i.d. environment and we study the fluctuations of thepartition funct
 ion. It was proven by Comets and Liu that forsufficiently high temperature
 \, the fluctuations converge indistribution towards the product of the lim
 iting partition functionand an independent Gaussian random variable. We ex
 tend the result tothe whole L^2-region\, which is predicted to be the maxi
 malhigh-temperature region where the Gaussian fluctuations should occurund
 er the considered scaling. This is joint work with Clément Cosco. 
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