Spectrum of random Schroedinger operators

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18540125
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Kochi University
• Principal Investigator: NAKANO Fumihiko Kochi University, 教育研究部・自然科学系, 准教授 (10291246)
• Project Period (FY): 2006 – 2009
• Keywords: 確率論

Research Abstract

アンダーソン局在が起きている状況において固有値・固有関数の分布を調べ。

Research Products

• [Journal Article] Distribution of localizati me discrete random systems (2007)
  • Author(s): F. Nakano
  • Journal Title: Rev. Math. Phys Vol. 19, No.9 Pages: 941-965
  • Peer Reviewed
• [Journal Article] The finite volume approximation of the Anderson model (2007)
  • Author(s): F. Nakano
  • Journal Title: Journal of Mathematical Physics Vol.48, No.4 Pages: 042102-042107
  • Peer Reviewed
• [Journal Article] Eigenfunction statistics in the localized Anderson model (2007)
  • Author(s): R. Killip and F. Nakano
  • Journal Title: Annales Henri Poincare Vol.8 no.1 Pages: 27-36
  • Peer Reviewed
• [Journal Article] The repulsion between localization centers in the Anderson model (2006)
  • Author(s): F. Nakano
  • Journal Title: J. Stat. Phys. Vol.123 no.4 Pages: 803-810
  • Peer Reviewed
• [Journal Article] Infinite divisibility of random measures for some random Schrodinger operators
  • Author(s): F. Nakano
  • Journal Title: Osaka Journal of Mathematicsにて掲載決定
  • Peer Reviewed
• [Presentation] アンダーソンモデルにおける固有値・固有関数の分布について (2007)
  • Author(s): 中野史彦
  • Organizer: 日本数学会年会特別講演
  • Place of Presentation: 埼玉大学
  • Year and Date: 2007-03-27