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SUMMARY:On the Bourgain-Spencer conjecture in stochastic homogenization
DTSTART:20201211T141500
DTSTAMP:20260428T074212Z
UID:77a473a567389b057e1d12e35f1b290ddf01f65c8821db41974d1a4e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr Mitia Duerinckx\, Université Paris-Saclay\nMeeting ID: 862
  9472 2722\nPasscode: 248678\n\nTitle: On the Bourgain-Spencer conjecture 
 in stochastic homogenization\n\nAbstract: In the context of stochastic hom
 ogenization\, the so-called Bourgain-Spencer conjecture states that the en
 semble-averaged solution of a divergence-form linear elliptic equation wit
 h random coefficients allows for an intrinsic description in terms of high
 er-order homogenized equations with an accuracy four times better than the
  almost sure solution itself. While previous rigorous results are restrict
 ed to a perturbative regime with small ellipticity ratio\, we shall explai
 n how half of the conjecture can be further proven in a non-perturbative r
 egime. Our approach involves the construction of a new corrector theory in
  stochastic homogenization: while only a bounded number of correctors can 
 be constructed as L^2 random fields\, we show that twice as many can be us
 efully defined in a Schwartz-like distributional sense on the probability 
 space.
LOCATION:https://epfl.zoom.us/j/86294722722?pwd=SHJlQUcreDVPb08wYkQ3ZVJFL1
 JpZz09
STATUS:CONFIRMED
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