|
|
Random Media: Homogenization and Beyond
January 24 - 28, 2011
Organizing Committee |
Scientific Overview |
Speaker List
Application/Registration |
Contact Us
Organizing Committee
Guillaume Bal
(Columbia University, APAM)
Jim Nolen
(Duke University)
George Papanicolaou
(Stanford University)
Lenya Ryzhik
(Stanford University)
Back to Top
Scientific Overview
Homogenization theory in random media has been an active research
area for the last thirty years and has become a fairly large field at
the intersection of applied mathematics, probability theory, and PDEs.
Traditionally, it addresses questions of the macroscopic description
of solutions of PDEs in random media that do not involve the fine
details of small scale variations of the medium. Similar questions
arise in numerical computations and are related to uncertainty
quantification. Despite much progress in this field, various
engineering applications drive the current need to understand regimes
where standard homogenization either fails completely or requires
rigorous understanding of correctors to homogenization. It is an open
challenge in mathematical random media to understand how to go beyond
the homogenization regime and to study phenomena that arise outside
of its range of validity.
This workshop will bring together experts in various sub-areas of
homogenization, such as wave propagation in random media, stochastic
averaging, many-particle systems, numerical homogenization, random
Hamilton-Jacobi equations, and stochastic partial differential
equations. One goal of the workshop is to bring current practical and
numerical issues to the attention of mathematicians knowledgeable in
random media techniques. Another goal is to address pressing issues
beyond homogenization theory. These issues include random media
models with slowly decaying correlations or without strong separation
of scales. Other important questions to be addressed concern the
stochastic stability of solutions and understanding their fluctuations and correctors.
This workshop will include a poster session; a request for posters will be sent to registered participants in advance of the workshop.
Back to Top
Confirmed Speakers
Liliana Borcea
(Rice University)
Luis Caffarelli
(University of Texas at Austin)
Dmitry Dolgopyat
(University of Maryland)
Mark Freidlin
(University of Maryland)
Irene Gamba
(University of Texas at Austin)
Josselin Garnier
(Université de Paris VII (Denis Diderot) et Université de Paris VI (Pierre et Marie Curie))
Roger Ghanem
(University of Southern California (USC))
Martin Hairer
(University of Warwick)
Tom Hou
(California Institute of Technology)
Inwon Kim
(University of California, Los Angeles (UCLA))
Leonid Koralov
(University of Maryland)
Frederic Legoll
(Ecole Nationale Des Ponts et Chaussees (LAMI))
Jonathan Mattingly
(Duke University)
Graeme Milton
(University of Utah)
Stefano Olla
(Université de Paris IX (Paris-Dauphine))
Houman Owhadi
(California Institute of Technology)
Etienne Pardoux
(Université d'Aix-Marseille I (Université de Provence))
Olivier Pinaud
(Université Claude-Bernard (Lyon I))
Fraydoun Rezakhanlou
(University of California, Berkeley (UC Berkeley))
Boris Rozovsky
(Brown University)
Christoph Schwab
(ETH Zürich)
Panagiotis Souganidis
(University of Chicago)
Chrysoula Tsogka
(University of Crete)
Back to Top
Contact Us:
Institute for Pure and Applied Mathematics (IPAM)
Attn: RM2011
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: ipam@ucla.edu
Website:
http://www.ipam.ucla.edu/programs/rm2011/
Back to Top
|