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math.SP2012★ 20 cited
Exponential dynamical localization for the almost Mathieu operator
Svetlana Jitomirskaya, Helge Krueger
We prove that the exponential moments of the position operator stay bounded for the supercritical almost Mathieu operator with Diophantine frequency.
math.SP2009★ 17 cited
Probabilistic averages of Jacobi operators
Helge Krueger
I study the Lyapunov exponent and the integrated density of states for general Jacobi operators. The main result is that questions about these, can be reduced to questions about er…
math.SP2008
Almost Periodic Szegő Cocycles with Uniformly Positive Lyapunov Exponents
David Damanik, Helge Krueger
We exhibit examples of almost periodic Verblunsky coefficients for which Herman's subharmonicity argument applies and yields that the associated Lyapunov exponents are uniformly bo…