PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Mari Royer, Yakov Pesin, Dmitri Burago.

Title:On Spectral Properties of the Weakly Coupled Fibonacci Hamiltonian
Seminar:Center for Dynamics and Geometry Colloquium
Speaker:Anton Gorodetsky, University of California, Irvine
Abstract:
The discrete Schr\"odinger operator with Fibonacci potential is a central model in the study of electronic properties of one-dimensional quasicrystals. The spectrum of this operator for small values of the coupling constant is a dynamically defined Cantor set. It turns out that methods of hyperbolic dynamics can be used to describe detailed properties of the spectrum. We will remind some previously announced results (related to fractal characteristics of the spectrum) and discuss several new ones (formulated in terms of so called gap labeling theorem). This is a joint work with D.Damanik.

Room Reservation Information

Room Number:MB106
Date:09 / 23 / 2009
Time:04:00pm - 06:00pm