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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On a multi-scale refinement of the 2nd moment meth
 od - Kistler\, N (City College of New York)
DTSTART;TZID=Europe/London:20150319T100000
DTEND;TZID=Europe/London:20150319T110000
UID:TALK58490AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/58490
DESCRIPTION:Co-authors: Louis-Pierre Arguin (University of Mon
 treal)\, David Belius (University of Montreal )\, 
 Anton Bovier (University of Bonn) \n\nThe 2nd mome
 nt method is a powerful tool in the analysis of th
 e extremes of random combinatorial structures. I w
 ill present a multi-scale refinement of the method
  which is based on a coarse-graining scheme\; this
  is inspired by the picture which has recently eme
 rged in the study of the extremes of branching Bro
 wnian motion [Arguin-Bovier-Kistler '13 / Aidekon-
 Beresticky-Brunet-Shi '13]. The refinement can als
 o be applied to the study of the extremes of the 2
 dim Gaussian free field [Bolthausen-Deuschel-Giaco
 min '00 /Bramson-Ding-Zeitouni '13 / Biskup-Louido
 r '13]\, and allows to derive sharp estimates on 2
 dim cover times [Belius-Kistler '14]. Time permitt
 ing\, I will also discuss a procedure of local pro
 jections which seemingly identifies scales from "f
 irst principles"\; this may be useful to rigorousl
 y address certain conjectures [Fyodorov-Hiary-Keat
 ing '12] concerning the extremes of the Riemann ze
 ta function along the critical line\, or the extre
 mes of the characteristic polynomials of CUE rando
 m matrices.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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