• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Distribution of eigenvalues of random operators and related limit theorems

Research Project

Project/Area Number 26400148
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Basic analysis
Research InstitutionKeio University

Principal Investigator

MINAMI Nariyuki  慶應義塾大学, 医学部(日吉), 教授 (10183964)

Co-Investigator(Renkei-kenkyūsha) NAKANO Fumihiko  学習院大学, 理学部, 教授 (10291246)
UEKI Naomasa  京都大学, 人間・環境学研究科, 教授 (80211069)
Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsランダム作用素 / スペクトル統計 / 一般化シュレーディンガー作用素 / 感染症数理モデル / 世代間隔 / 感染症モデリング
Outline of Final Research Achievements

(1) 1-dimensional Schroedinger operator H with decaying white noise potential is considered, and its spectral properties are determined when the decaying factor is square integrable. Also, the property of a part of the spectrum of H is determined when the decaying factor is not square integrable.
(2) Based on a mathematical model which incorporates a hypothesis that adult males and females are mildly segregated in their social life, it is shown that a condition is ready for the 2013 rubella outbreak in Japan. By another mathematical model, possible consequences of the rubella vaccination limited to schoolgirls were shown.
(3) A stochastic model is constructed in order to clarify the notion of "generation interval" in infectious disease epidemiology.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (13 results)

All 2018 2017 2016 2015 2014 Other

All Journal Article (2 results) (of which Open Access: 2 results) Presentation (8 results) (of which Int'l Joint Research: 3 results,  Invited: 4 results) Remarks (2 results) Funded Workshop (1 results)

  • [Journal Article] 数理モデルに基づく風疹流行の考察2014

    • Author(s)
      南就将、北川清宏、鈴木瞭介
    • Journal Title

      慶應義塾大学日吉紀要自然科学

      Volume: 56 Pages: 35-60

    • NAID

      120005479453

    • Related Report
      2014 Research-status Report
    • Open Access
  • [Journal Article] Consideration on Rubella Epidemic Based on Mathematical Modeling2014

    • Author(s)
      南就将
    • Journal Title

      MI Lecture Note: Kyushu University

      Volume: 60 Pages: 63-72

    • NAID

      120005479453

    • Related Report
      2014 Research-status Report
    • Open Access
  • [Presentation] 減衰因子のあるホワイトノイズをポテンシャルとする1次元シュレーディンガー作用素について2018

    • Author(s)
      南就将
    • Organizer
      日本数学会2018年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] A stochastic model of generation time2017

    • Author(s)
      南 就将
    • Organizer
      Innovative Mathematical Modeling for the Analysis of Infectious Disease Data (IMAID 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the Schroedinger operator with decaying white noise potential2016

    • Author(s)
      Nariyuki Minami
    • Organizer
      Mathematical Physics Days in Hagen 2016
    • Place of Presentation
      Hagen(ドイツ)
    • Year and Date
      2016-05-17
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] One-dimensional Schroedinger operator whose potential is the white noise with decaying factor2016

    • Author(s)
      南 就将
    • Organizer
      九州確率論セミナー
    • Place of Presentation
      九州大学伊都キャンパス(福岡県福岡市西区)
    • Year and Date
      2016-02-05
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Possible consequences of rubella vaccination limited to schoolgirls2015

    • Author(s)
      Nariyuki Minami
    • Organizer
      Innovative Mathematical Modeling for the Analysis of Infectious Disease Data (IMAID2015)
    • Place of Presentation
      北海道大学(北海道札幌市)
    • Year and Date
      2015-10-29
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] エネルギー準位統計の諸問題と点過程論2015

    • Author(s)
      南就将
    • Organizer
      日本数学会2015年会
    • Place of Presentation
      明治大学駿河台キャンパス(東京都千代田区)
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] On a class of generalized Sturm-Liouville operators2015

    • Author(s)
      南就将
    • Organizer
      Spectra of Random Operators and Related Topics
    • Place of Presentation
      京都大学(京都府京都市左京区)
    • Year and Date
      2015-01-08 – 2015-01-10
    • Related Report
      2014 Research-status Report
  • [Presentation] 数理モデルに基づく風疹流行の考察2014

    • Author(s)
      南就将
    • Organizer
      九州大学IMI共同利用研究・集会「感染症数理モデルの実用化と産業及び政策での活用のための新たな展開」
    • Place of Presentation
      JR博多シティ会議場(福岡県福岡市博多区)
    • Year and Date
      2014-10-01 – 2014-10-03
    • Related Report
      2014 Research-status Report
  • [Remarks] 南就将 個人ページ

    • URL

      http://user.keio.ac.jp/~minami/

    • Related Report
      2017 Annual Research Report
  • [Remarks] 南 就将 個人ページ

    • URL

      http://user.keio.ac.jp/~minami/

    • Related Report
      2016 Research-status Report 2015 Research-status Report 2014 Research-status Report
  • [Funded Workshop] Spectra of Random Operator and Related Topics2015

    • Place of Presentation
      慶應義塾大学日吉キャンパス(神奈川県横浜市港北区)
    • Year and Date
      2015-12-10
    • Related Report
      2015 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2019-03-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi