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UID:20251123T154351EST-1281u1M9UE@132.216.98.100
DTSTAMP:20251123T204351Z
DESCRIPTION:Title: Quantitative Stochastic Homogenization for Elliptic Equa
 tions\n\nAbstract: Stochastic homogenization is concerned with identifying
  the asymptotic behavior of solutions to PDEs with random coefficients. Sp
 ecifically\, we are interested in the following: if the coefficients are r
 andomly varying on a microscopic lengthscale\, then on average\, do the ra
 ndom solutions exhibit the same deterministic behavior? When this is indee
 d the case\, we say that the random equation 'homogenizes.' Furthermore\, 
 from both the theoretical and applied perspective\, an important issue is 
 to understand the quantitative aspects of this homogenization process. In 
 this talk\, I will present an overview of the subject of stochastic homoge
 nization for nondivergence form elliptic equations. I will discuss the int
 erplay between PDE and probabilistic techniques used to study these types 
 of problems.  In addition\, I will present a recent quantitative result wh
 ich yields the optimal error estimates on the size of the fluctuations of 
 the random solutions. This talk is based on joint work with Scott Armstron
 g. \n
DTSTART:20161213T200000Z
DTEND:20161213T200000Z
LOCATION:Room 1205\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Jessica Lin - University of Wisconsin (Madison)
URL:/mathstat/channels/event/jessica-lin-university-wi
 sconsin-madison-264688
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