Hotta Ikkei 堀田一敬

Researcher Number	10725237
Other IDs	https://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	2025: 山口大学, 大学院創成科学研究科, 教授 2019 – 2024: 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 / SLE / 自由確率論 / 正則関数 / Cauchy変換 / Loewner方程式 … More / 加法過程 / nonlinear resolvent / evolution family / 非可換確率論 / レヴナー方程式 / 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

A comprehensive study and advancement of Loewner theory in complex analysis, probability theory, and non-commutative probability theoryPrincipal 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)

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2. Yanagihara Hiroshi (30200538)

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3. Aiakwa Hiroaki (20137889)

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4. 志賀啓成 (10154189)

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18. 香取眞理

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Hotta Ikkei 堀田 一敬

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A comprehensive study and advancement of Loewner theory in complex analysis, probability theory, and non-commutative probability theoryPrincipal Investigator

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Loewner equation and Teichmueller space theory

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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

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Fundamental and applied research on Loewner theory for describing planar domains growing stochasticallyPrincipal Investigator

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Deepening of potential analysis on nonsmooth domains - Applications to PDE and ideal boundary

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Loewner theory on universal covering maps

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Researches of fundamental and applied properties for Modern Loewner TheoryPrincipal Investigator

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[Journal Article] Nonlinear Resolvents and Decreasing Loewner Chains2024

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[Journal Article] Notes on locally uniform weak convergence with application to additive processes2023

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[Journal Article] Nonlinear resolvents and decreasing Loewner chains2023

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[Journal Article] Continuous evolution families2023

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[Journal Article] Problems related to conformal slit-mappings2022

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[Journal Article] Additive processes on the unit circle and Loewner chains2021

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[Journal Article] On freely quasi-infinitely divisible distributions2021

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[Journal Article] Univalent functions with quasiconformal extensions: Becker's class and estimates of the third coefficient2020

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Hotta Ikkei 堀田一敬