Positivity of Lyapunov Exponents for a Continuous Matrix-Valued Anderson Model |
| |
Authors: | Hakim Boumaza |
| |
Institution: | (1) Institut de Mathématiques de Jussieu, Université Paris, 7 Denis Diderot, 2 place Jussieu, 75251 Paris, France |
| |
Abstract: | We study a continuous matrix-valued Anderson-type model. Both leading Lyapunov exponents of this model are proved to be positive
and distinct for all energies in (2, +∞) except those in a discrete set, which leads to absence of absolutely continuous spectrum
in (2, +∞). This result is an improvement of a previous result with Stolz. The methods, based upon a result by Breuillard
and Gelander on dense subgroups in semisimple Lie groups, and a criterion by Goldsheid and Margulis, allow for singular Bernoulli
distributions.
|
| |
Keywords: | Lyapunov exponents Anderson model |
本文献已被 SpringerLink 等数据库收录! |
|