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  • 1
    Electronic Resource
    Electronic Resource
    Kotani theory for one dimensional stochastic Jacobi matrices (1983)
    Springer
    Communications in mathematical physics 89 (1983), S. 227-234 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We consider families of operators,H ω, on ℓ2 given by (H ω u)(n)=u(n+1)+u(n−1)+V ω(n)u(n), whereV ω is a stationary bounded ergodic sequence. We prove analogs of Kotani's results, including that for a.e. ω,σac(H ω) is the essential closure of the set ofE where γ(E) the Lyaponov index, vanishes and the result that ifV ω is non-deterministic, then σac is empty.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01211829
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