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Special Colloquium: Dr. Zhenghe Zhang, Rice University

"Lyapunov exponents and spectral analysis of ergodic Schrödinger operators"

Tuesday, March 14, 2017
  3:40–5 p.m.


Location: Surge Building 347
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Category: Colloquium

Description: One dimensional discrete Schrödinger operators arise naturally in modeling the motion of quantum particles in a disordered medium. The medium is described by potentials which may naturally be generated by certain ergodic dynamics. We will begin with two classic models where the potentials are periodic sequences and i.i.d. random variables (Anderson Model). Then we will move on to potentials with intermediate randomness such as quasi-periodic ones or hyperbolic dynamics generated ones for which the phenomena may become more subtle. We will show how the dynamical object, the Lyapunov exponent, plays a key role in the spectral analysis of these types of operators.

Additional Information: Flyer

Open to: General Public
Admission: Free
Sponsor: Mathematics

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