A lower bound on the Lyapunov exponent for the generalized Harper's model Institutional Repository Document uri icon

abstract

  • We obtain a lower bound for the Lyapunov exponent of a family of discrete Schr"{o}dinger operators $(Hu)_n=u_{n+1}+u_{n-1}+2a_1cos2pi( heta+nalpha)u_n+2a_2cos4pi( heta+nalpha)u_n$, that incorporates both $a_1$ and $a_2,$ thus going beyond the Herman's bound.

author list (cited authors)

  • Jitomirskaya, S., & Liu, W.

citation count

  • 0

complete list of authors

  • Jitomirskaya, Svetlana||Liu, Wencai

Book Title

  • arXiv

publication date

  • November 2016