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SUMMARY:Critical Mandelbrot Cascades - Kupiainen\, A (University of Helsin
 ki)
DTSTART:20120917T151000Z
DTEND:20120917T155000Z
UID:TALK39815@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Mandelbrot's multiplicative cascade measures are random energy
  models with\nlogarithmically correlated energies. They exhibit a freezing
  transition from\nhigh temperature phase with (singular) continuous Gibbs 
 measure to an atomic one\nin low temperatures. I will discuss recent work 
 proving that in the critical case these \nmeasures have no atoms. I also d
 iscuss the multi fractal spectrum and the KPZ formula of\nLiouville gravit
 y at the critical point and low temperature phase.\n
LOCATION:Seminar Room 1\, Newton Institute
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