Scaling limits for weakly pinned random walks with two large deviation minimizers

• Funaki Tadahisa

  Graduate School of Mathematical Sciences, The University of Tokyo

• Otobe Tatsushi

  Railway Technical Research Institute

抄録

The scaling limits for d-dimensional random walks perturbed by an attractive force toward the origin are studied under the critical situation that the rate functional of the corresponding large deviation principle admits two minimizers. Our results extend those obtained by [2] from the mean-zero Gaussian to non-Gaussian setting under the absence of the wall.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 62 (3), 1005-1041, 2010

  一般社団法人 日本数学会

キーワード

• scaling limit
• large deviation
• random walks
• pinning

詳細情報

• CRID: 1390282680092118400
• NII論文ID: 10027870981
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06231005
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 10764283
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10764283
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可