BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Sufficient criteria for the application of Fürstenberg's theorem with applications to the 1D continuum Bernoulli Anderson model Fillman, Jake


Almost every proof of localization for one-dimensional Anderson models begins with the classical Fürstenberg theorem about products of random matrices. We review the statement of Fürstenberg's theorem and some sufficient conditions which imply the hypotheses of said theorem. As an application, we give a simple proof of positive Lyapunov exponents in the 1D continuum Bernoulli Anderson model.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International