Localization in General One Dimensional Random Systems, I. Jacobi Matrices
نویسندگان
چکیده
We consider random discrete Schrόdinger operators in a strip with a potential Vω(n,a) (n a label in Z and α a finite label "across" the strip) and Vω an ergodic process. We prove that H0 -f Vω has only point spectrum with probability one under two assumptions: (1) The conditional distribution of {Kω(n,α)}n=ola l lα conditioned on {Kω}^01;allα has an absolutely continuous component with positive probability. (2) For a.e. E, no Lyaponov exponent is zero.
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