Event

Scott Armstrong (Courant Institute of Mathematical Sciences (NYU))

Monday, March 19, 2018 16:00to17:00
Burnside Hall Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Title: Quantitative stochastic homogenization of linear elliptic PDE

Abstract: I will discuss the large-scale asymptotics of solutions of linear elliptic equations with random coefficients. It is well-known that solutions converge (in the limit of scale separation) to those of a deterministic equation, a kind of law of large numbers result called "homogenization". In recent years obtaining quantitative information about this convergence has attracted a lot of attention, which lead to the development of new tools from analysis and probability. I will give an overview of one such approach to the topic based on variational methods, elliptic regularity, and ``renormalization-group'' arguments. 

 

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