On asymptotics of Eigenvalues for a certain 1-dimensional random Schrödinger operator

Kotani, Shinichi; Van Quoc, Pham

Osaka Journal of Mathematics, 2011, 48(1), 69-89

アクセス数:144件（2025-05-26 03:48 集計）

固定URL: https://doi.org/10.18910/3605

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タイトル	On asymptotics of Eigenvalues for a certain 1-dimensional random Schrödinger operator
著者	NRID 1000010025463 1000010025463 著者名 Kotani, Shinichi
著者	著者名 Van Quoc, Pham
抄録	The purpose of this paper is to study the limit distribution of individual eigenvalue of 1-dimensional Schrödinger operators with random potentials derived from the derivatives of compound Poisson processes possessing purely positive jumps or purely negative jumps. The central limit theorem for “middle eigenvalue” is also investigated.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	48(1)
ページ	69-89
刊行年月	2011-03
言語	英語
ハンドルURL	https://hdl.handle.net/11094/3605
DOI	https://doi.org/10.18910/3605
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 48, Number 1　(2011-3）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2011, 48(1), p. 69-89
DC.title	On asymptotics of Eigenvalues for a certain 1-dimensional random Schrödinger operator
DC.creator	Kotani, Shinichi
DC.creator	Van Quoc, Pham
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2011-03
DCTERMS.abstract	The purpose of this paper is to study the limit distribution of individual eigenvalue of 1-dimensional Schrödinger operators with random potentials derived from the derivatives of compound Poisson processes possessing purely positive jumps or purely negative jumps. The central limit theorem for “middle eigenvalue” is also investigated.
DC.identifier	10.18910/3605
DC.format	3605
citation_title	On asymptotics of Eigenvalues for a certain 1-dimensional random Schrödinger operator
citation_author	Kotani, Shinichi
citation_author	Van Quoc, Pham
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2011-03
citation_journal_title	Osaka Journal of Mathematics
citation_volume	48
citation_issue	1
citation_firstpage	69
citation_lastpage	89
citation_public_url	https://hdl.handle.net/11094/3605
citation_doi_detail	10.18910/3605
citation_doi	https://doi.org/10.18910/3605