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DTSTART:20260329T030000
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DTSTAMP:20260416T051708Z
UID:691214567bfbd513487778@ist.ac.at
DTSTART:20260302T160000
DTEND:20260302T170000
DESCRIPTION:Speaker: Yujin Kim\nhosted by Laszlo Erdös & Jan Maas\nAbstrac
 t: Gaussian multiplicative chaos (GMC) is a well-studied random measure ap
 pearing as a universal object in the study of Gaussian or approximately Ga
 ussian log-correlated fields. On the other hand\, no general framework exi
 sts for the study of multiplicative chaos associated to non-Gaussian log-c
 orrelated fields. In this talk\, we examine a canonical model: the log-cor
 related random Fourier series\, or random wave model\, with i.i.d. random 
 coefficients taken from a general class of distributions. The associated m
 ultiplicative chaos measure was shown to be non-degenerate when the invers
 e temperature is subcritical ($\\gamma < \\sqrt{2d}$) by Junnila. The resu
 lting chaos is easily seen to not be a GMC in general\, leaving open the q
 uestion of what properties are shared between this non-Gaussian chaos and 
 GMC. We answer this question through the lens of absolute continuity\, sho
 wing that there exists a coupling between this chaos and a GMC such that t
 he two are almost surely mutually absolutely continuous.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Yujin Kim: Absolute continuity of non-Gaussian and Gaussian multipl
 icative chaos measures
URL:https://talks-calendar.ista.ac.at/events/6323
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