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20112026
most citedAlmost Everything About the Unitary Almost Mathieu Operator

14 citations · 77 across the 20 of their papers we have counts for

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math.SP2015★ 14 cited

Spectral Characteristics of the Unitary Critical Almost-Mathieu Operator

Jake Fillman, Darren C. Ong, Zhenghe Zhang

We discuss spectral characteristics of a one-dimensional quantum walk whose coins are distributed quasi-periodically. The unitary update rule of this quantum walk shares many spect…

math-ph2015

Spreading Estimates for Quantum Walks on the Integer Lattice via Power-Law Bounds on Transfer Matrices

David Damanik, Jake Fillman, Darren C. Ong

We discuss spreading estimates for dynamical systems given by the iteration of an extended CMV matrix. Using a connection due to Cantero--Grünbaum--Moral--Velázquez, this enables u…