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SUMMARY:Generalized Multifractality of Whole-Plane SLE - Duplantier\, B (C
 EA/Saclay)
DTSTART:20150128T150000Z
DTEND:20150128T160000Z
UID:TALK57553@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: H Ho (Orlans University)\, B Le (Orlans University
 )\, M Zinsmeister (Orlans University) \n\nWe introduce a generalized notio
 n of integral means spectrum for unbounded conformal maps\, depending on t
 wo moments\, giving access to logarithmic coefficients. We study this (ave
 rage) generalized integral means spectrum for unbounded whole-plane SLE. T
 he usual SLE multifractal spectrum\, predicted by the author in 2000 and p
 roved by Beliaev and Smirnov in 2005 and Gwynne\, Miller and Sun in 2014\,
  crosses over to a novel spectrum along phase transition lines in the plan
 e of moment orders. A conjecture is proposed for the universal generalized
  multifractal spectrum\, which is proved for a certain range of moments. \
 n
LOCATION:Seminar Room 1\, Newton Institute
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