BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20250330T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20251026T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20260425T051723Z
UID:6687bf08e3cde100613006@ist.ac.at
DTSTART:20250408T161500
DTEND:20250408T171500
DESCRIPTION:Speaker: Guilherme De Lima Feltes\nhosted by Christian Wagner\n
 Abstract: We show a priori bounds for solutions to $(\\partial_t - \\Delta
 ) u = \\sigma (u) \\xi$ in finite volume in the framework of Hairer's Regu
 larity Structures [Invent Math 198:269--504\, 2014]. We assume $\\sigma \\
 in C_b^2 (\\mathbb{R})$ and that $\\xi$ is of negative H{\\"o}lder regular
 ity of order $- 1 - \\kappa$ where $\\kappa < \\bar{\\kappa}$ for an expli
 cit $\\bar{\\kappa}< 1/3$\, and that it can be lifted to a model in the se
 nse of Regularity Structures. Our main results guarantee non-explosion of 
 the solution in finite time and a growth which is at most polynomial in $t
  > 0$. Our estimates imply global well posedness for the 2-d generalised p
 arabolic Anderson model on the torus\, as well as for the parabolic quanti
 sation of the Sine-Gordon Euclidean Quantum Field Theory (EQFT) on the tor
 us in the regime $\\beta^2 \\in (4 \\pi\, (1 + \\bar{\\kappa}) 4 \\pi)$. W
 e also consider the parabolic quantisation of a massive Sine-Gordon EQFT a
 nd derive estimates that imply the existence of the measure for the same r
 ange of $\\beta$. Finally\, our estimates apply to It\\^o SPDEs in the sen
 se of Da Prato-Zabczyk [\\textit{Stochastic Equations in Infinite Dimensio
 ns}\, Enc. Math. App.\, Cambridge Univ. Press\, 1992] and imply existence 
 of a stochastic flow beyond the trace-class regime.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Guilherme De Lima Feltes: A priori bounds for the generalised Parab
 olic Anderson Model
URL:https://talks-calendar.ista.ac.at/events/5685
END:VEVENT
END:VCALENDAR