48 citations · 73 across the 4 of their papers we have counts for
12 papers
Newhouse phenomena in the Fibonacci trace map
William Yessen
We study dynamical properties of the Fibonacci trace map - a polynomial map that is related to numerous problems in geometry, algebra, analysis, mathematical physics, and number th…
Mixed spectral regimes for square Fibonacci Hamiltonians
Jake Fillman, Yuki Takahashi, William Yessen
For the square tridiagonal Fibonacci Hamiltonian, we prove existence of an open set of parameters which yield mixed interval-Cantor spectra (i.e. spectra containing an interval as…
Hausdorff dimension of the spectrum of the square Fibonacci Hamiltonian
William Yessen
Denoting the Hausdorff dimension of the Fibonacci Hamiltonian with coupling by , we prove that for all but countably many , the Hausdorff dimension of the spe…
Characterizations of Uniform Hyperbolicity and Spectra of CMV Matrices
David Damanik, Jake Fillman, Milivoje Lukic +1
We provide an elementary proof of the equivalence of various notions of uniform hyperbolicity for a class of cocycles and establish a Johnson-type theor…
New Anomalous Lieb-Robinson Bounds in Quasi-Periodic XY Chains
David Damanik, Marius Lemm, Milivoje Lukic +1
We announce and sketch the rigorous proof of a new kind of anomalous (or sub-ballistic) Lieb-Robinson bound for an isotropic XY chain in a quasi-periodic transversal magnetic field…
Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems
David Damanik, Milivoje Lukic, William Yessen
We investigate quantum dynamics with the underlying Hamiltonian being a Jacobi or a block Jacobi matrix with the diagonal and the off-diagonal terms modulated by a periodic or a li…