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SUMMARY:Moments of partition functions of 2D Gaussian polymers in the weak
  disorder regime - Ofer Zeitouni (Weizmann Institute of Science)
DTSTART:20240712T130000Z
DTEND:20240712T140000Z
UID:TALK215617@talks.cam.ac.uk
DESCRIPTION:We consider the directed two dimensional polymer in Gaussian i
 id environment\, using the subcritical scaling $\\beta\\sim c/\\sqrt{\\log
  n}$. In this scaling\, the partition function has logarithmically decayin
 g correlations\, with a rather peculiar covariance profile. Motivated by t
 he study of the field of partition functions indexed by their startng poin
 t\, we compute the leading order of high (order of $\\sqrt{\\log N}$) mome
 nts\, exhibiting this covariance profile\, and explain how these can be us
 ed in order to discuss extremes of the field. Joint work with Clement Cosc
 o (Paris)\, and part of work in progress with him and Shuta Nakajima (Toky
 o).&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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