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

Iteration dynamical system of discrete Laplacian(Its mathematical structure and computer simulation)

Research Project

Project/Area Number 19540149
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionNihon University

Principal Investigator

SUZUKI Osamu  Nihon University, 文理学部, 教授 (10096844)

Co-Investigator(Kenkyū-buntansha) NOUNO Kiyoharu  福岡教育大学, 教育学研究科, 教授 (10117749)
濃野 聖晴  福岡教育大学, 教育学部, 教授 (10117046)
Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2008: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2007: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Keywords離散ラプラス作用素 / 反復力学系 / デザインの生成 / 古生物の進化 / 繰り込まれたディラック作用素 / 6次隔たりの法則 / フラクタル構造 / Hyperfunction / Fractal set / Schauder basis / Cuntz algebra
Research Abstract

結晶や花の形はどのようにしてつくられるのか?私たちの身の回りのデザインはどのようにつくられているのか?生物は誕生以来どのように進化してきたのか?また大絶滅が生じるのはなぜか?従来物理の理論をもちいて記述するのが通例であるが、これでは上にのべた質問に対する答えはむずかしい。本研究では離散ラプラス作用素というものを平面格子系上に導入し、0,1の分布を与え離散ラプラス作用素のその時間変化を考えることによりこれらの現象を統一的に示すことができることを示す。

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (12 results)

All 2009 2008 2007

All Journal Article (9 results) (of which Peer Reviewed: 5 results) Presentation (3 results)

  • [Journal Article] A duality theorem for inoculated graded fractal bundles vs. Cuntz algebras and their central extinctions2009

    • Author(s)
      Julian Lawrynowicz, Malgorzata Nowak-Kepczyk, Osamu Suzuki
    • Journal Title

      Int. Journ. of Pure and Applied Math. No3315-337

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Differential and integral calculus on a fractal set2009

    • Author(s)
      Julian Lawrynowicz, Kiyoharu Nouno, Osamu Suzuki
    • Journal Title

      Banach Center Publication

      Pages: 115-140

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Differential and integral calculus on a fractal set2009

    • Author(s)
      鈴木 理
    • Journal Title

      Banach Center Publication 82

      Pages: 115-140

    • Related Report
      2008 Annual Research Report
  • [Journal Article] A fractal renormalization theory of an infinite dimensional Clifford algebra and the renormalized Dirac operator2008

    • Author(s)
      鈴木 理, 濃野聖晴
    • Journal Title

      Bull. Soc. de Letters de Lodz LV

      Pages: 111-116

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Basic properties and applications of graded fractal bundles related to Clifford structures2008

    • Author(s)
      鈴木 理, 濃野聖晴
    • Journal Title

      Bull. Soc. de Letters de Lodz LV

      Pages: 81-97

    • Related Report
      2008 Annual Research Report
  • [Journal Article] The description of mass extinction and mutation for extinction animals by use of the iteration dynamical system of discrete Lapalcian2007

    • Author(s)
      Kazuo Kosaka、 Osamu Suzuki
    • Journal Title

      Bull. De la Societe de Scien de Lodz

      Pages: 95-107

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Iteration dynamical systems of discrete Laplacian on the plane lattice2007

    • Author(s)
      Y. Makino, C. Hadlich, G. Guerlebeck, A. Kimura, Osamu Suzuki
    • Journal Title

      数理解析研究所講究録 1552

      Pages: 107-115

    • Related Report
      2008 Final Research Report
  • [Journal Article] Hyperfunctions on fractal boundaries(Meromorphic Schauder basis for a fractal set2007

    • Author(s)
      J. Lawrynowicz, K. Nouno and O. Suzuki
    • Journal Title

      Bull. Soc. Sci. Letters, Lodz LVII

      Pages: 63-74

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hyperfunctions on fractal boundaries, The boundariey value problems for a domain with a fractal boundary2007

    • Author(s)
      J. Lawrynowicz, K. Nouno and O. Suzuki
    • Journal Title

      Bull. Soc. Scie. Letters, VXIIV

      Pages: 75-84

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 様々な複雑なシステムの解析2008

    • Author(s)
      鈴木 理
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学瀬田キャンス
    • Year and Date
      2008-12-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] 様々な複雑なシステムの解析2008

    • Author(s)
      八木育也、鈴木理
    • Organizer
      応用合同数学研究集会
    • Place of Presentation
      龍谷大学瀬田キャンパス
    • Related Report
      2008 Final Research Report
  • [Presentation] Hyperfunctions on fractal boundaries2007

    • Author(s)
      J. Lawrynowicz, K. Nouno and O. Suzuki
    • Organizer
      15th International Conference on Finite or infinite Diimensional Complex Analysis and Applicationms
    • Place of Presentation
      Osaka City University
    • Related Report
      2007 Annual Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi