BEGIN:VCALENDAR
VERSION:2.0
PRODID:talks.ox.ac.uk
BEGIN:VEVENT
SUMMARY:The critical 2d stochastic heat flow - Francesco Caravenna (Milano
-Bicocca)
DTSTART;VALUE=DATE-TIME:20230612T140000
DTEND;VALUE=DATE-TIME:20230612T150000
UID:https://new.talks.ox.ac.uk/talks/id/db652078-10c3-4a7a-bc0b-2514f51628
24/
DESCRIPTION:We study the 2d Stochastic Heat Equation\, that is the heat eq
uation in two space dimensions with a multiplicative random potential (spa
ce-time white noise). This equation is ill-defined due to the singularity
of the potential and we regularise it by discretising space-time\, so that
the solution can be identified with the partition function of a statistic
al mechanics model\, the so-called directed polymer in random environment.
We prove that\, as discretisation is removed and the noise strength is re
scaled in a critical way\, the solution has a well-defined and unique limi
t: a universal process of random measures on R^2\, which we call the criti
cal 2d Stochastic Heat Flow. We investigate its features\, showing that it
cannot be the exponential of a generalised Gaussian field.\n\n(joint work
with R. Sun and N. Zygouras)\nSpeakers:\nFrancesco Caravenna (Milano-Bico
cca)
LOCATION:Mathematical Institute (L5)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://new.talks.ox.ac.uk/talks/id/db652078-10c3-4a7a-bc0b-2514f51628
24/
BEGIN:VALARM
ACTION:display
DESCRIPTION:Talk:The critical 2d stochastic heat flow - Francesco Caravenn
a (Milano-Bicocca)
TRIGGER:-PT1H
END:VALARM
END:VEVENT
END:VCALENDAR