論文

査読有り
2006年9月

On the range of pinned random walks

TOHOKU MATHEMATICAL JOURNAL
  • Yuji Hamana

58
3
開始ページ
329
終了ページ
357
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.2748/tmj/1163775134
出版者・発行元
TOHOKU UNIVERSITY

The range of random walks means the number of distinct sites visited at least once by the random walk. In two-or-more-dimensional cases, we established the law of large numbers for the range of simple symmetric random walks under the conditional probability given the event that the last point is the origin. Moreover we studied the large deviations in the upward direction and obtained similar results to the original random walk.

リンク情報
DOI
https://doi.org/10.2748/tmj/1163775134
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000241972500003&DestApp=WOS_CPL
URL
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33751068253&origin=inward
ID情報
  • DOI : 10.2748/tmj/1163775134
  • ISSN : 0040-8735
  • SCOPUS ID : 33751068253
  • Web of Science ID : WOS:000241972500003

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