LOOP-ERASED RANDOM WALKS ON RANDOM FRACTALS

Hattori, Kumiko; Kurosawa, Tetsuo; Nishijima, Shunsuke

Osaka Journal of Mathematics, 2025, 62(1), 51-76

アクセス数:191件（2026-02-15 20:42 集計）

固定URL: https://doi.org/10.18910/100444

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タイトル	LOOP-ERASED RANDOM WALKS ON RANDOM FRACTALS
著者	NRID 1000080231520 1000080231520 著者名 Hattori, Kumiko
	著者名 Kurosawa, Tetsuo
	著者名 Nishijima, Shunsuke
抄録	We introduce random pre-branched Koch curves and construct loop-erased random walks on these graphs. We prove the existence of the scaling limit and show that the sample path of the limit process is almost surely self-avoiding, while it has box-counting dimension strictly Greater than 1.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	62(1)
ページ	51-76
刊行年月	2025-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/100444
DOI	https://doi.org/10.18910/100444
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 62, Number 1 （2025-01）

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. 2025, 62(1), p. 51-76
DC.title	LOOP-ERASED RANDOM WALKS ON RANDOM FRACTALS
DC.creator	Hattori, Kumiko
	Kurosawa, Tetsuo
	Nishijima, Shunsuke
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	2025-01
DCTERMS.abstract	We introduce random pre-branched Koch curves and construct loop-erased random walks on these graphs. We prove the existence of the scaling limit and show that the sample path of the limit process is almost surely self-avoiding, while it has box-counting dimension strictly Greater than 1.
DC.identifier	10.18910/100444
DC.format	100444
citation_title	LOOP-ERASED RANDOM WALKS ON RANDOM FRACTALS
citation_author	Hattori, Kumiko
	Kurosawa, Tetsuo
	Nishijima, Shunsuke
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2025-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	1
citation_firstpage	51
citation_lastpage	76
citation_public_url	https://hdl.handle.net/11094/100444
citation_doi_detail	10.18910/100444
citation_doi	https://doi.org/10.18910/100444