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SUMMARY:The critical 2d Stochastic Heat Flow
DTSTART;VALUE=DATE-TIME:20220519T130000Z
DTEND;VALUE=DATE-TIME:20220519T150000Z
DTSTAMP;VALUE=DATE-TIME:20230202T111200Z
UID:indico-event-382@indico.gssi.it
DESCRIPTION:Speakers: Francesco Caravenna (Milano Bicocca)\n\nAbstract: \
n\n(joint work with R. Sun and N. Zygouras)\n\nWe consider the 2d heat equ
ation with multiplicative space-time white noise\, known as the 2d Stochas
tic Heat Equation (SHE). This is a critical stochastic PDE which falls out
side the scope of robust solution theories\, such as Regularity Structures
or Paracontrolled Calculus. When space-time is suitably discretised\, the
solution of the SHE can be interpreted as the partition function of a sta
tistical mechanics model\, the so-called directed polymer in random enviro
nment. We prove that as the discretisation is removed\, and the noise stre
ngth is rescaled in a critical way\, the solution of the discretised SHE c
onverges to a unique limit: a universal process of random measures on R^2\
, which we call the critical 2d Stochastic Heat Flow. We investigate some
of its features\, getting explicit bounds on its moments\, and we outline
future directions of research.\n\n \n\nThe seminar will be held in the Ma
in Auditorium and it will also be streamed online via zoom at this link:\
n\nhttps://us02web.zoom.us/j/89664583638?pwd=MTluRndSWUhoMG5VbU80Rlcydmg2d
z09\n\n\nPlease notice that\, in accordance to GSSI regulations\, your Gre
en Pass will be checked at the entrance.\n\nhttps://indico.gssi.it/event/3
82/
LOCATION:Rectorate/Building-Auditorium (GSSI)
URL:https://indico.gssi.it/event/382/
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