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SUMMARY:A BPHZ theorem for stochastic PDEs - Professor Martin Hairer (Univ
ersity of Warwick)
DTSTART;VALUE=DATE-TIME:20170310T153000Z
DTEND;VALUE=DATE-TIME:20170310T163000Z
UID:https://talks.ox.ac.uk/talks/id/3e41ceef-a505-4fda-a189-a591faa655f9/
DESCRIPTION:A classical result obtained in the 50's and 60's by Bogoliubov
\, Parasiuk\, Hepp and Zimmerman provides a prescription on how to renorma
lise amplitudes of Feynman diagrams arising in perturbative quantum field
theory in a consistent way. We will discuss an analogue of this theorem wh
ich has both an analytic and a probabilistic interpretation. In particular
\, we will see that it implies that the solutions to a large class of nonl
inear stochastic PDEs depend on their driving noise in a surprisingly rigi
d way. This rigidity is a mathematical manifestation of the "universality"
taken for granted when building our intuition on the large-scale behaviou
r of probabilistic models.\n\nSpeakers:\nProfessor Martin Hairer (Universi
ty of Warwick)
LOCATION:Large Lecture Theatre\, LG.03
URL:https://talks.ox.ac.uk/talks/id/3e41ceef-a505-4fda-a189-a591faa655f9/
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DESCRIPTION:Talk:A BPHZ theorem for stochastic PDEs - Professor Martin Hai
rer (University of Warwick)
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