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

Nariyuki Minami

doi:10.1007/BF01211754

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

Nariyuki Minami

研究成果: Article › 査読

13 被引用数 (Scopus)

抄録

We consider the random operator: -d/m_ω(dx)d⁺/dx+q_ω(x), where m_ω(dx) and q_ω(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.

本文言語	English
ページ（範囲）	387-402
ページ数	16
ジャーナル	Communications in Mathematical Physics
巻	103
号	3
DOI	https://doi.org/10.1007/BF01211754
出版ステータス	Published - 1986 9月
外部発表	はい

ASJC Scopus subject areas

統計物理学および非線形物理学
数理物理学

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10.1007/BF01211754

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

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