An extension of Kotani's theorem to random generalized Sturm-Liouville operators

研究成果: Article

13 引用 (Scopus)

抜粋

We consider the random operator: -d/mω(dx)d+/dx+qω(x), where mω(dx) and qω(x) are a stationary ergodic random measure and a random function respectively. To this general case, we extend Kotani's theorem which asserts that the absolutely continuous spectrum is completely determined by the Ljapounov indices. Our framework includes the case of stochastic Jacobi matrices treated by Simon.

元の言語English
ページ(範囲)387-402
ページ数16
ジャーナルCommunications in Mathematical Physics
103
発行部数3
DOI
出版物ステータスPublished - 1986 9 1
外部発表Yes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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