Random Media: Homogenization and Beyond

January 24 - 28, 2011

Schedule


Monday, January 24, 2011
9:00 - 9:50
Etienne Pardoux (Université d'Aix-Marseille I (Université de Provence))

Homogenization of a singular random one dimensional PDE with time varying coefficients

10:15 - 11:05
Fraydoun Rezakhanlou (University of California, Berkeley (UC Berkeley))

Large Deviation Principle and Central Limit Theorem for Homogenization

11:30 - 12:20
2:30 - 3:20
4:00 - 4:50

Tuesday, January 25, 2011
9:00 - 9:50
Graeme Milton (University of Utah)

Homogenization in high contrast composites and characterizing the response of networks

10:15 - 11:05
Olivier Pinaud (Université Claude-Bernard (Lyon I))

Kinetic limits and imaging models for waves in random media
PDF Presentation
11:30 - 12:20
2:30 - 3:20
Martin Hairer (University of Warwick)

Stochastic Burgers-type equations
PDF Presentation
4:00 - 4:50
Roger Ghanem (University of Southern California (USC))

Stochastic upscaling for waves in polycrystalline materials
PDF Presentation

Wednesday, January 26, 2011
9:00 - 9:50
Luis Caffarelli (University of Texas at Austin)

Rate of convergence for fully non linear equations in random media

10:15 - 11:05
11:30 - 12:20
2:30 - 3:20
Tom Hou (California Institute of Technology)

A data-driven stochastic multiscale method with application to uncertainty quantification

4:00 - 4:50
Stefano Olla (Université de Paris IX (Paris-Dauphine))

Macroscopic Energy Diffusion from Hamitonian Dynamics with Conservative Noise


Thursday, January 27, 2011
9:00 - 9:50
10:15 - 11:05
Houman Owhadi (California Institute of Technology)

Localization and Uncertainties in Homogenization

11:30 - 12:20

Friday, January 28, 2011
9:00 - 9:50
Josselin Garnier (Université de Paris VII (Denis Diderot) et Université de Paris VI (Pierre et Marie Curie))

Effective fractional acoustic wave equations in random multiscale media
PDF Presentation
10:15 - 11:05
Frederic Legoll (Ecole Nationale Des Ponts et Chaussees (LAMI))

Some contributions on a variant of the classical theory of stochastic homogenization

11:30 - 12:20
Jonathan Mattingly (Duke University)