RANDOM WALKS AND KURAMOCHI BOUNDARIES OF INFINITE NETWORKS

Kasue, Atsushi

Osaka Journal of Mathematics, 2013, 50(1), 31-51

アクセス数:120件（2025-05-09 18:37 集計）

固定URL: https://doi.org/10.18910/24478

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タイトル	RANDOM WALKS AND KURAMOCHI BOUNDARIES OF INFINITE NETWORKS
著者	NRID 1000040152657 1000040152657 著者名 Kasue, Atsushi
抄録	In this paper, we study a connected non-parabolic, or transient, network compactified with the Kuramochi boundary, and show that the random walk converges almost surely to a random variable valued in the harmonic boundary, and a function of finite Dirichlet energy converges along the random walk to a random variable almost surely and in L＾2. We also give integral representations of solutions of Poisson equations on the Kuramochi compactification.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(1)
ページ	31-51
刊行年月	2013-03
言語	英語
ハンドルURL	https://hdl.handle.net/11094/24478
DOI	https://doi.org/10.18910/24478
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 50, Number 1　(2013-3）

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. 2013, 50(1), p. 31-51
DC.title	RANDOM WALKS AND KURAMOCHI BOUNDARIES OF INFINITE NETWORKS
DC.creator	Kasue, Atsushi
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	2013-03
DCTERMS.abstract	In this paper, we study a connected non-parabolic, or transient, network compactified with the Kuramochi boundary, and show that the random walk converges almost surely to a random variable valued in the harmonic boundary, and a function of finite Dirichlet energy converges along the random walk to a random variable almost surely and in L＾2. We also give integral representations of solutions of Poisson equations on the Kuramochi compactification.
DC.identifier	10.18910/24478
DC.format	24478
citation_title	RANDOM WALKS AND KURAMOCHI BOUNDARIES OF INFINITE NETWORKS
citation_author	Kasue, Atsushi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-03
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	1
citation_firstpage	31
citation_lastpage	51
citation_public_url	https://hdl.handle.net/11094/24478
citation_doi_detail	10.18910/24478
citation_doi	https://doi.org/10.18910/24478