10 citations · 14 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent
Valmir Bucaj, David Damanik, Jake Fillman +4
We provide a complete and self-contained proof of spectral and dynamical localization for the one-dimensional Anderson model, starting from the positivity of the Lyapunov exponent…