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Key figures

Key figures

189 people work at LJLL

90 permanent staff

82 researchers and permanent lecturers

8 engineers, technicians and administrative staff

99 non-permanent staff

73 Phd students

14 Post-doc and ATER

12 emeritus scholars and external collaborators

 

Figures : March 2019

 

Séminaire du LJLL : S. Armstrong

30 janvier 2015 — 14h00
Scott Armstrong (Université Paris Dauphine)
Higher regularity and quantitative results in stochastic homogenization
Abstract
 I will review some recent results in the quantitative theory of stochastic homogenization of (linear and nonlinear) elliptic equations in divergence form and explain how the central issue is developing a "higher" regularity theory, that is, showing that equations with random coefficients admit essentially Lipschitz estimates, which is much better than general equations with measurable coefficients. In other words, we show that coefficients for which the De Giorgi-Nash-Moser and Meyers estimates are sharp are not generic. The proof of this result relies on variational methods and a quantitative H-convergence argument.