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Caltech/UCLA Joint Analysis Seminar

Tuesday, December 1, 2020
4:00pm to 4:50pm
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Online Event
Proving Positive Lyapunov Exponents: Beyond Independence
David Damanik, Department of Mathematics, Rice University,

We discuss the problem of proving the positivity of the Lyapunov exponent for Schrödinger operators with potentials defined by a hyperbolic base transformation and a Hölder continuous sampling function. Prominent examples of such base transformations are given by the doubling map and the Arnold cat map. The talk is based on joint work with Artur Avila and Zhenghe Zhang.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.