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Watanabe Takayuki  渡邉 天鵬

ORCIDConnect your ORCID iD *help
Researcher Number 50913282
Other IDs
Affiliation (Current) 2025: 中部大学, 創発学術院, 特任助教
Affiliation (based on the past Project Information) *help 2023 – 2025: 中部大学, 創発学術院, 特任助教
2021 – 2022: 京都大学, 理学研究科, 特定研究員
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Except Principal Investigator
Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12030:Basic mathematics-related / Basic Section 12040:Applied mathematics and statistics-related / Basic Section 12010:Basic analysis-related
Keywords
Principal Investigator
複素力学系 / ランダムニュートン法 / ランダム力学系 / ロジスティック写像 / 確率的アルゴリズム / multiplicative noise / 確率分岐 / ランダム緩和ニュートン法 / 複素解析 / ランダムアルゴリズム / ニュートン法 … More
Except Principal Investigator
… More ランダム力学系 / 力学系 / リザバー計算 / 分岐現象 / 雑音誘起現象 / エルゴード理論 / フラクタル / 複素力学系 Less
  • Research Projects

    (4 results)
  • Research Products

    (24 results)
  • Co-Researchers

    (8 People)
  •  Mathematical science of prediction and control noise-induced phenomena by reservoir computing

    • Principal Investigator
      明石 望洋
    • Project Period (FY)
      2025 – 2029
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
      Basic Section 12030:Basic mathematics-related
      Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
    • Research Institution
      Kyoto University
  •  ランダム力学系・非自励力学系、写像半群の力学系とフラクタル幾何学の研究

    • Principal Investigator
      角 大輝
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto University
  •  乗法的ノイズを含むランダム力学系の分岐に関する定量的解析Principal Investigator

    • Principal Investigator
      渡邉 天鵬
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Chubu University
  •  Study of dynamical systems of random relaxed Newton methodsPrincipal Investigator

    • Principal Investigator
      Watanabe Takayuki
    • Project Period (FY)
      2021 – 2022
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Review Section
      0201:Algebra, geometry, analysis, applied mathematics,and related fields
    • Research Institution
      Kyoto University

All 2024 2023 2022 2021

All Journal Article Presentation

  • [Journal Article] On the stochastic bifurcations regarding random iterations of polynomials of the form $z^2 + c_n$2024

    • Author(s)
      Takayuki Watanabe
    • Journal Title

      Ergodic Theory and Dynamical Systems

      Volume: Online Issue: 11 Pages: 1-27

    • DOI

      10.1017/etds.2024.17

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Journal Article] On the stochastic bifurcations of random holomorphic dynamical systems2023

    • Author(s)
      Takayuki Watanabe
    • Journal Title

      京都大学数理解析研究所講究録(掲載予定)

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Journal Article] On the stochastic bifurcations regarding random iterations of polynomials of the form $z^2 + c_n$2022

    • Author(s)
      Takayuki Watanabe
    • Journal Title

      arXiv

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] Noise-inuduced phenomena の数理(ポスター発表)2024

    • Author(s)
      渡邉天鵬
    • Organizer
      生命と情報の新たなる融和:超階層生物学とAI・数理
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Presentation] Numerical experiments on Random Relaxed Newton’s Methods2023

    • Author(s)
      Takayuki Watanabe
    • Organizer
      Pure Mathematics Seminar at University of South Alabama
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Presentation] On the stochastic bifurcations regarding random iterations of polynomials of the form $z^2 + c_n$2023

    • Author(s)
      渡邉天鵬
    • Organizer
      第 66 回函数論シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Presentation] Total disconnectedness of the random Julia sets of polynomials of the form $z^2 + c_n$2023

    • Author(s)
      Takayuki Watanabe
    • Organizer
      AMS 2023 Fall Southeastern Sectional Meeting
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Presentation] An estimates for Random Relaxed Newton Methods2023

    • Author(s)
      Takayuki Watanabe
    • Organizer
      International Workshop on Ergodic Theory, Dynamical Systems, and Climate Sciences (Poster Session))
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] Worked out examples of Random Relaxed Newton’s Methods2023

    • Author(s)
      Takayuki Watanabe
    • Organizer
      The 10th International Congress on Industrial and Applied Mathematics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Presentation] On the stochastic bifurcations regarding random iterations of polynomials of the form $z^2 + c_n$2023

    • Author(s)
      Takayuki Watanabe
    • Organizer
      The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Presentation] Total disconnectedness of the random Julia sets2023

    • Author(s)
      渡邉天鵬
    • Organizer
      OCAMI 数論・力学系セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Presentation] On the stochastic bifurcation of random holomorphic dynamical systems2023

    • Author(s)
      Takayuki Watanabe
    • Organizer
      KiPAS Dynamics Days 2023
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Presentation] On the stochastic bifurcation of random holomorphic dynamical systems2023

    • Author(s)
      渡邉天鵬
    • Organizer
      力学系理論の展開と応用
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Presentation] Noise-induced order of complex dynamical systems2023

    • Author(s)
      渡邉天鵬
    • Organizer
      21 世紀の複雑系
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13000
  • [Presentation] Total disconnectedness of the random Julia sets of polynomials of the form $z^2 + c_n$2022

    • Author(s)
      渡邉天鵬
    • Organizer
      複素力学系と関連分野
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] On the stochastic bifurcations regarding random iterations of polynomials of the form $z^2+c_n$2022

    • Author(s)
      渡邉天鵬
    • Organizer
      日本数学会 2022 年度年会(函数論分科会)
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] On the stochastic bifurcations regarding random iterations of polynomials of the form $z^2+c_n$2022

    • Author(s)
      渡邉天鵬
    • Organizer
      第 56 回函数論サマーセミナー
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] On the stochastic bifurcations regarding random iterations of polynomials of the form $z_2+c^n$2022

    • Author(s)
      渡邉天鵬
    • Organizer
      Random topics on Teichmuller theory
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] ランダム複素力学系におけるマルコフ作用素の性質2022

    • Author(s)
      渡邉天鵬
    • Organizer
      北見工業大学
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] On the stochastic bifurcations regarding random iterations of polynomials of the form $z^2+c_n$2022

    • Author(s)
      渡邉天鵬
    • Organizer
      エルゴード理論とその周辺
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] On the stochastic bifurcations of random holomorphic dynamical systems2022

    • Author(s)
      渡邉天鵬
    • Organizer
      ランダム力学系・非自励力学系研究の展望:理論と応用
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] On the stochastic bifurcations regarding random iterations of polynomials of the form $z^2+c_n$2022

    • Author(s)
      Takayuki Watanabe
    • Organizer
      The POSTECH Conference 2022 on Complex Analytic Geometry
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] ランダム複素力学系の平均安定性とその分岐2021

    • Author(s)
      渡邉天鵬
    • Organizer
      ランダム力学系および多価写像力学系理論の総合的研究,京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K20323
  • [Presentation] The bifurcation of random holomorphic dynamical systems2021

    • Author(s)
      渡邉天鵬
    • Organizer
      複素力学系の諸相,京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K20323
  • 1.  角 大輝 (40313324)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  佐藤 譲 (30342794)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  上原 崇人 (40613261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  井上 友喜 (60253316)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  矢野 孝次 (80467646)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  イェーリッシュ ヨハネス (90741869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  明石 望洋 (90973553)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  津田 一郎 (10207384)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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