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math-ph2014★ 3 cited
On the Sum of the Non-Negative Lyapunov Exponents for Some Cocycles Related to the Anderson Model
Ilia Binder, Michael Goldstein, Mircea Voda
We provide an explicit lower bound for the the sum of the non-negative Lyapunov exponents for some cocycles related to the Anderson model. In particular, for the Anderson model on…
math-ph2013
On fluctuations and localization length for the Anderson model on a strip
Ilia Binder, Michael Goldstein, Mircea Voda
We consider the Anderson model on a strip. Assuming that potentials have bounded density with considerable tails we get a lower bound for the fluctuations of the logarithm of the G…
math-ph2012
An Estimate on the Number of Eigenvalues of a Quasiperiodic Jacobi Matrix of Size Contained in an Interval of Size
Ilia Binder, Mircea Voda
We consider infinite quasi-periodic Jacobi self-adjoint matrices for which the three main diagonals are given via values of real analytic functions on the trajectory of the shift $…