10 citations · 30 across the 16 of their papers we have counts for
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math-ph2015
Quantum Intermittency for Sparse CMV Matrices with an Application to Quantum Walks on the Half-Line
David Damanik, Jon Erickson, Jake Fillman +2
We study the dynamics given by the iteration of a (half-line) CMV matrix with sparse, high barriers. Using an approach of Tcheremchantsev, we are able to explicitly compute the tra…
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…