10 citations · 30 across the 16 of their papers we have counts for
3 papers · 1 filter
Limit-Periodic Continuum Schrödinger Operators with Zero Measure Cantor Spectrum
David Damanik, Jake Fillman, Milivoje Lukic
We consider Schrödinger operators on the real line with limit-periodic potentials and show that, generically, the spectrum is a Cantor set of zero Lebesgue measure and all spectral…
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…
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…