## Mathematical Physics and Gauge Theory

•  Shiwen Zhang, MSU
•  Spectral dimension and quantum dynamical bound for quasiperiodic Schrodinger operators.
•  02/09/2017
•  11:00 AM - 11:50 AM
•  C304 Wells Hall

We introduce a notion of beta-almost periodicity and prove quantitative lower spectral/quantum dynamical bounds for general bounded beta-almost periodic potentials. Applications include a sharp arithmetic criterion of full spectral dimensionality for analytic quasiperiodic Schrodinger operators in the positive Lyapunov exponent regime and arithmetic criteria for families with zero Lyapunov exponents, with applications to Sturmian potentials and the critical almost Mathieu operator.

## Contact

Department of Mathematics
Michigan State University