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Hotta Ikkei  堀田 一敬

Researcher Number 10725237
Other IDs
  • ORCIDhttps://orcid.org/0000-0002-4549-8493
Affiliation (Current) 2025: 山口大学, 大学院創成科学研究科, 教授
Affiliation (based on the past Project Information) *help 2019 – 2025: 山口大学, 大学院創成科学研究科, 准教授
2022: 山口大学, 大学院創成科学研究科, 講師
2017 – 2018: 山口大学, 大学院創成科学研究科, 講師
2016: 山口大学, 創成科学研究科, 講師
2015: 山口大学, 理工学研究科, 講師
2014: 東京工業大学, 理工学研究科, JSPS特別研究員
Review Section/Research Field
Principal Investigator
Basic Section 12010:Basic analysis-related / Basic analysis
Except Principal Investigator
Basic analysis / Basic Section 12010:Basic analysis-related
Keywords
Principal Investigator
レブナー理論 / シュラム・レブナー発展 / 等角写像 / レブナー方程式 / 擬等角写像 / 加法過程 / nonlinear resolvent / evolution family / 非可換確率論 / レヴナー方程式 … More / 関数論 / 義等角写像 / 確率微分方程式 / 着等角写像 … More
Except Principal Investigator
複素解析 / 調和解析 / 非線形変分問題 / 熱核 / 距離空間 / レブナ-方程式 / 平均曲率流 / 正値解 / 自己相似集合 / 非線形 / 変分問題 / ネットワーク / リーマン多様体 / 調和 / 熱方程式 / 幾何学 / 確率論 / 偏微分方程式 / 函数論 / ポテンシャル解析 / グラフ / ラプラシアン / 負曲率多様体 / カントール集合 / 楕円型境界値問題 / エネルギー / 容量 / 完備リーマン多様体 / 大域的可積分性 / 容量的幅 / Dirichlet最小固有値 / 複雑領域 / 理想境界 / 非線形PDE / ポテンシャル / 解析学 / レブナーの微分方程式 / 時間発展 / 核収束 / 連結度 / 等角写像 / レブナー理論 / Loewner chain / subordination / Loewner理論 / 正則函数 / 普遍被覆写像 / 普遍被覆 Less
  • Research Projects

    (7 results)
  • Research Products

    (55 results)
  • Co-Researchers

    (18 People)
  •  函数論・確率論・非可換確率論におけるLoewner理論の総合的研究と深化Principal Investigator

    • Principal Investigator
      堀田 一敬
    • Project Period (FY)
      2025 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Yamaguchi University
  •  Loewner equation and Teichmueller space theory

    • Principal Investigator
      松崎 克彦
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Waseda University
  •  レブナー理論を基とした,古典的単葉函数論と非可換確率論との関係性の解明Principal Investigator

    • Principal Investigator
      堀田 一敬
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Yamaguchi University
  •  Fundamental and applied research on Loewner theory for describing planar domains growing stochasticallyPrincipal Investigator

    • Principal Investigator
      Hotta Ikkei
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Yamaguchi University
  •  Deepening of potential analysis on nonsmooth domains - Applications to PDE and ideal boundary

    • Principal Investigator
      Aiakwa Hiroaki
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Chubu University
      Hokkaido University
  •  Loewner theory on universal covering maps

    • Principal Investigator
      Yanagihara Hiroshi
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Yamaguchi University
  •  Researches of fundamental and applied properties for Modern Loewner TheoryPrincipal Investigator

    • Principal Investigator
      Hotta Ikkei
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Yamaguchi University
      Tokyo Institute of Technology

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

  • [Journal Article] Nonlinear Resolvents and Decreasing Loewner Chains2024

    • Author(s)
      Hotta Ikkei、Schleissinger Sebastian、Sugawa Toshiyuki
    • Journal Title

      The Journal of Geometric Analysis

      Volume: 34 Issue: 4 Pages: 99-99

    • DOI

      10.1007/s12220-023-01544-y

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03632, KAKENHI-PROJECT-23K25775
  • [Journal Article] Notes on locally uniform weak convergence with application to additive processes2023

    • Author(s)
      Takahiro Hasebe, Ikkei Hotta and Takuya Murayama
    • Journal Title

      arXiv

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Journal Article] Nonlinear resolvents and decreasing Loewner chains2023

    • Author(s)
      Ikkei Hotta, Sebastian Schleissinger and Toshiyuki Sugawa
    • Journal Title

      arXiv

      Volume: -

    • Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Journal Article] Continuous evolution families2023

    • Author(s)
      Shota Hoshinaga, Ikkei Hotta and Hiroshi Yanagihara
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Journal Article] Problems related to conformal slit-mappings2022

    • Author(s)
      Ikkei Hotta and Sebastian Schleisinger
    • Journal Title

      Complex Variables and Elliptic Equations

      Volume: - Issue: 2 Pages: 215-233

    • DOI

      10.1080/17476933.2022.2121820

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Journal Article] Additive processes on the unit circle and Loewner chains2021

    • Author(s)
      Takahiro Hasebe, Ikkei Hotta
    • Journal Title

      Int. Math. Res. Not. IMRN

      Volume: - Issue: 22 Pages: 17797-17848

    • DOI

      10.1093/imrn/rnab157

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03632, KAKENHI-PROJECT-19K14546
  • [Journal Article] On freely quasi-infinitely divisible distributions2021

    • Author(s)
      Ikkei Hotta, Wojciech Mlotkowski, Noriyoshi Sakuma, Yuki Ueda
    • Journal Title

      arXiv

      Volume: -

    • Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Journal Article] Univalent functions with quasiconformal extensions: Becker's class and estimates of the third coefficient2020

    • Author(s)
      Pavel Gumenyuk, Ikkei Hotta
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Journal Article] its of radial multiple SLE and a Burgers-Loewner differential equation2020

    • Author(s)
      Ikkei Hotta, Sebastian Schleissinger
    • Journal Title

      J. Theoret. Probab.

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Journal Article] Loewner integral equations and Levy-Khintchine representations for additive processes on the unit circle2020

    • Author(s)
      Takahiro Hasebe, Ikkei Hotta
    • Journal Title

      arXiv

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Journal Article] Loewner theory for quasiconformal extensions: old and new2019

    • Author(s)
      Ikkei Hotta
    • Journal Title

      Interdiscip. Inform. Sci.

      Volume: 印刷中

    • NAID

      130007720019

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Journal Article] Loewner chains with quasiconformal extensions: an approximation approach2019

    • Author(s)
      Ikkei Hotta
    • Journal Title

      J. Anal. Math.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Journal Article] Loewner chains with quasiconformal extensions: an approximation approach2019

    • Author(s)
      Ikkei Hotta
    • Journal Title

      J. Anal. Math.

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Journal Article] Loewner theory for quasiconformal extensions: old and new2019

    • Author(s)
      Ikkei Hotta
    • Journal Title

      Interdiscip. Inform. Sci.

      Volume: -

    • NAID

      130007720019

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Journal Article] Loewner chains with quasiconformal extensions: an approximation approach2019

    • Author(s)
      Ikkei Hotta
    • Journal Title

      J. Anal. Math.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05206
  • [Journal Article] Loewner chains for quasiconformal extensions: old and new2019

    • Author(s)
      Ikkei Hotta
    • Journal Title

      Interdiscip. Inform. Sci.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05206
  • [Journal Article] On a numerical algorithm for the solution of the radial Loewner equation2018

    • Author(s)
      Ikkei Hotta, Hirokazu Shimauchi
    • Journal Title

      Math. Methods Appl. Sci.

      Volume: 41 Issue: 2 Pages: 714-723

    • DOI

      10.1002/mma.4640

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14205, KAKENHI-PROJECT-16K16061
  • [Journal Article] Hydrodynamic Limit of Multiple SLE2018

    • Author(s)
      Hotta Ikkei、Katori Makoto
    • Journal Title

      Journal of Statistical Physics

      Volume: 171 Issue: 1 Pages: 166-188

    • DOI

      10.1007/s10955-018-1996-y

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400405, KAKENHI-PROJECT-17K14205, KAKENHI-PROJECT-26287019, KAKENHI-PROJECT-16H06338
  • [Journal Article] Tightness results for infinite-slit limits of the chordal Loewner equation2018

    • Author(s)
      Andrea Del Monaco, Ikkei Hotta, Sebastian Schleissinger
    • Journal Title

      Comput. Methods Funct. Theory

      Volume: 18 Issue: 1 Pages: 9-33

    • DOI

      10.1007/s40315-017-0205-3

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05206, KAKENHI-PROJECT-17K14205
  • [Journal Article] Quasiconformal extendibility of integral transforms of Noshiro-Warschawski functions2017

    • Author(s)
      Ikkei Hotta and Li-Mei Wang
    • Journal Title

      Rocky Mountain J. Math.

      Volume: 47 Issue: 1 Pages: 185-204

    • DOI

      10.1216/rmj-2017-47-1-185

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800053, KAKENHI-PROJECT-16K05206
  • [Journal Article] Some remarks on Schur's theorem for bounded analytic functions2017

    • Author(s)
      Ikkei Hotta, Andrzej Michalski
    • Journal Title

      Bull. Soc. Sci. Lett. Lodz Ser. Rech. Deform.

      Volume: 67 Pages: 93-99

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Journal Article] Chordal Loewner chains with quasiconformal extensions2017

    • Author(s)
      Pavel Gumenyuk and Ikkei Hotta
    • Journal Title

      Math. Z.

      Volume: 285 Issue: 3-4 Pages: 1063-1089

    • DOI

      10.1007/s00209-016-1738-2

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800053, KAKENHI-PROJECT-16K05206
  • [Journal Article] Some remarks on Schur's theorem for bounded analytic functions2017

    • Author(s)
      Ikkei Hotta and Andrzej Michalski
    • Journal Title

      Bull. Soc. Sci. Lett. Lodz Ser. Rech. Deform.

      Volume: 67 Pages: 93-99

    • Data Source
      KAKENHI-PROJECT-16K05206
  • [Journal Article] Chordal Loewner chains with quasiconformal extensions2015

    • Author(s)
      Pavel Gumenyuk and Ikkei Hotta
    • Journal Title

      ArXiv

      Volume: なし Pages: 1-26

    • Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Journal Article] Quasiconformal extendibility of integral transforms of Noshiro-Warschawski functions2015

    • Author(s)
      Ikkei Hotta and Li-Mei Wang
    • Journal Title

      Rocky Mountain Journal of Mathematics

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Journal Article] Locally one-to-one harmonic functions with starlike analytic part2014

    • Author(s)
      Ikkei Hotta and Andrzej Michalski
    • Journal Title

      Bulletin de la Societe des Sciences et des Lettres de Lodz. Serie: Recherches sur les Deformations

      Volume: 64 Pages: 19-27

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Presentation] Univalent functions with quasiconformal extensions: Becker’s class and estimates of the third coefficient2021

    • Author(s)
      堀田一敬,Pavel Gumenyuk
    • Organizer
      日本数学会2021年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Presentation] Limits of multiple SLE and a Burgers-Loewner differential equation2021

    • Author(s)
      堀田一敬,Andrea Del Monaco,香取眞理,Sebastian Schleissinger
    • Organizer
      日本数学会2021年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Presentation] Non-commutative probability and conformal mappings2021

    • Author(s)
      堀田一敬
    • Organizer
      One-day workshop on Applied and Computational Complex Analysis
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Presentation] 微分可能性を仮定しない Loewner chain と Loewner 積分方程式2021

    • Author(s)
      堀田一敬
    • Organizer
      2021年度函数論シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Presentation] Additive processes on the unit circle and Loewner chains2021

    • Author(s)
      堀田一敬,長谷部高広
    • Organizer
      日本数学会2021年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Presentation] Non-commutative probability and Loewner chains2021

    • Author(s)
      Ikkei Hotta
    • Organizer
      Geometric Function Theory in Several Complex Variables and Complex Banach Spaces
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Presentation] Loewner integral equations and Levy-Khintchine representations for additive processes on the unit circle2021

    • Author(s)
      堀田一敬
    • Organizer
      2020年度 「リーマン面・不連続群論」研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03632
  • [Presentation] The Burgers-Loewner equation and free probability theory I and II2020

    • Author(s)
      Ikkei Hotta
    • Organizer
      Mini-Workshop on Free Probability and Related Topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Presentation] Univalent functions with quasiconformal extensions: Becker's class and estimates of the third coefficient2020

    • Author(s)
      Ikkei Hotta
    • Organizer
      Oberseminar Funktionentheorie
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Presentation] Problems related to conformal slit-mappings and non-commutative probability theory2020

    • Author(s)
      Ikkei Hotta
    • Organizer
      Interactions between commutative and non-commutative probability
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Presentation] レブナー方程式による擬等角拡張の構成について2019

    • Author(s)
      堀田 一敬
    • Organizer
      日本数学会2019年度年会 特別講演
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05206
  • [Presentation] レブナー方程式による擬等角拡張の構成について2019

    • Author(s)
      堀田一敬
    • Organizer
      日本数学会2019年度年会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Presentation] Problems Related to Conformal Slit-Mappings2019

    • Author(s)
      Ikkei hotta
    • Organizer
      Holomorphic Maps, Pluripotentials and Complex Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Presentation] Hydrodynamic limit of multiple SLE2018

    • Author(s)
      Ikkei Hotta
    • Organizer
      International Workshop on Conformal Dynamics and Loewner Theory 2018
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Presentation] Hydrodynamic limit of multiple SLE2018

    • Author(s)
      Ikkei Hotta
    • Organizer
      International Workshop on Conformal Dynamics and Loewner Theory 2018
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05206
  • [Presentation] Chordal Loewner chainsとその境界挙動2017

    • Author(s)
      堀田一敬
    • Organizer
      第60回函数論シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Presentation] Tightness Results for Infinite-Slit Limits of the Chordal Loewner Equation2017

    • Author(s)
      Ikkei Hotta
    • Organizer
      CMFT2017
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Presentation] Tightness results for infinite-slit limits of the chordal Loewner equation2017

    • Author(s)
      Ikkei Hotta
    • Organizer
      25th ICFIDCAA
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14205
  • [Presentation] Chordal Loewner chainsとその境界挙動2017

    • Author(s)
      堀田一敬
    • Organizer
      第60回函数論シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05206
  • [Presentation] Linearly accessibility by flows associated with Loewner's equation2016

    • Author(s)
      Ikkei Hotta
    • Organizer
      XVIIIth Conference on Analytic Functions and Related Topics
    • Place of Presentation
      The State School of Higher Education in Chelm, Poland
    • Year and Date
      2016-06-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05206
  • [Presentation] Linearly accessibility by flows associated with Loewner’s equations2016

    • Author(s)
      Ikkei Hotta
    • Organizer
      XVIIIth Conference on Analytic Functions and Related Topics
    • Place of Presentation
      Chelm, Poland
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Presentation] レブナー理論入門2015

    • Author(s)
      堀田一敬
    • Organizer
      第50回函数論サマーセミナー
    • Place of Presentation
      あだたらふれあいセンター( 福島県二本松市)
    • Year and Date
      2015-09-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Presentation] Geometric properties of functions whose derivative has a positive real part2015

    • Author(s)
      Ikkei Hotta
    • Organizer
      The 23rd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
    • Place of Presentation
      九州産業大学( 福岡県福岡市)
    • Year and Date
      2015-08-25
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Presentation] レブナー理論2015

    • Author(s)
      堀田一敬
    • Organizer
      山口大学数理科学談話会
    • Place of Presentation
      山口大学( 山口県山口市)
    • Year and Date
      2015-07-13
    • Invited
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Presentation] Ld-Loewner chains with quasiconformal extensions2014

    • Author(s)
      Ikkei Hotta
    • Organizer
      International Workshop on Conformal Dynamics and Loewner Theory
    • Place of Presentation
      東京工業大学
    • Year and Date
      2014-11-23
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Presentation] Chordal Loewner chains with quasiconformal extensions2014

    • Author(s)
      Ikkei Hotta
    • Organizer
      The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
    • Place of Presentation
      Dongguk University, South Korea
    • Year and Date
      2014-08-08
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Presentation] Ld-Loewner chains with quasiconformal extensions2014

    • Author(s)
      Ikkei Hotta
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-25
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Presentation] Introduction to Loewner theory2014

    • Author(s)
      Ikkei Hotta
    • Organizer
      International Workshop on Conformal Dynamics and Loewner Theory
    • Place of Presentation
      東京工業大学
    • Year and Date
      2014-11-22
    • Data Source
      KAKENHI-PROJECT-26800053
  • [Presentation] Ld-Loewner chains with quasiconformal extensions2014

    • Author(s)
      Ikkei Hotta
    • Organizer
      XVIIth Conference on Analytic Functions and Related Topics
    • Place of Presentation
      The State School of Higher Education in Chelm, Poland
    • Year and Date
      2014-07-02
    • Data Source
      KAKENHI-PROJECT-26800053
  • 1.  須川 敏幸 (30235858)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  Yanagihara Hiroshi (30200538)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  Aiakwa Hiroaki (20137889)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  志賀 啓成 (10154189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  倉田 和浩 (10186489)
    # of Collaborated Projects: 1 results
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