10 citations · 30 across the 29 of their papers we have counts for
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math-ph2017
Spectral Approximation for Ergodic CMV Operators with an Application to Quantum Walks
Jake Fillman, Darren C. Ong, Tom Vandenboom
We establish concrete criteria for fully supported absolutely continuous spectrum for ergodic CMV matrices and purely absolutely continuous spectrum for limit-periodic CMV matrices…
math-ph2017★ 10 cited
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…