52 citations · 100 across the 5 of their papers we have counts for
5 papers
Exact dynamical decay rate for the almost Mathieu operator
Svetlana Jitomirskaya, Helge Krüger, Wencai Liu
We prove that the exponential decay rate in expectation is well defined and is equal to the Lyapunov exponent, for supercritical almost Mathieu operators with Diophantine frequenci…
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.
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…
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…
Long-Time Asymptotics for the Toda Lattice in the Soliton Region
Helge Krueger, Gerald Teschl
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Toda lattice for decaying initial data in the soliton region. In addition, we point ou…