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math.SP2019★ 1 cited
Positive Lyapunov Exponents and a Large Deviation Theorem for Continuum Anderson Models, Briefly
Valmir Bucaj, David Damanik, Jake Fillman +4
In this short note, we prove positivity of the Lyapunov exponent for 1D continuum Anderson models by leveraging some classical tools from inverse spectral theory. The argument is m…
math.SP2018
A formula related to CMV matrices and Szego cocycles
Fengpeng Wang
For Schrodinger operators, there is a well known and widely used formula connecting the transfer matrices and Dirichlet determinants. No analog of this formula was previously know…
math.SP2018
Anderson Localization for Quasi-Periodic CMV Matrices and Quantum Walks
Fengpeng Wang, David Damanik
We consider CMV matrices, both standard and extended, with analytic quasi-periodic Verblunsky coefficients and prove Anderson localization in the regime of positive Lyapunov expone…