Lower bounds on the eigenfunctions of random Schroedinger operators in a strip
Sasha Sodin (Queen Mary University London)
Abstract: It is known that the eigenfunctions of a random Schroedinger operator in a strip decay exponentially. In some regimes, the same is true in higher dimensions. It is however not clear whether the eigenfunctions have an exact rate of exponential decay. In the strip, it is natural to expect that the rate should be given by the slowest Lyapunov exponent, however, only the upper bound has been previously established.
We shall discuss some recent progress on this problem, and its connection to a question, perhaps interesting in its own right, in the theory of random matrix products. Based on joint work with Ilya Goldsheid.
mathematical physics
Audience: researchers in the discipline
( video )
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| Organizers: | Margherita Disertori*, Wojciech Dybalski*, Ian Jauslin, Hal Tasaki* |
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