# Analysis Seminar

## A spectral gap in $\mathrm{SL}^2(\mathbb R)$ and applications: expansion, Furstenberg measures and the Anderson-Bernoulli model

Jean Bourgain
IBM von Neumann Professor, School of Mathematics
November 30, 2016

## The hidden landscape of localization of eigenfunctions

Svitlana Mayboroda
University of Minnesota
March 8, 2016
Numerous manifestations of wave localization permeate acoustics, quantum physics, mechanical and energy engineering. It was used in construction of noise abatement walls, LEDs, optical devices, to mention just a few applications. Yet, no systematic methods could predict the exact spatial location and frequencies of the localized waves.