Hotta Ikkei 堀田一敬

Researcher Number	10725237
Other IDs	https://orcid.org/0000-0002-4549-8493
Affiliation (Current)	2024: 山口大学, 大学院創成科学研究科, 准教授
Affiliation (based on the past Project Information) *help	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 analysis / Basic Section 12010:Basic analysis-related 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 / 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 … More 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

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 – 2023
- 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 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

[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

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3. Aiakwa Hiroaki (20137889)

# of Collaborated Projects: 1 results

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4. 志賀啓成 (10154189)

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5. 倉田和浩 (10186489)

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6. 平田賢太郎 (30399795)

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7. 鈴木紀明 (50154563)

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8. 正宗淳 (50706538)

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9. 利根川吉廣 (80296748)

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10. 木上淳 (90202035)

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11. 加須栄篤 (40152657)

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12. 野瀬敏洋 (90637993)

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13. 松崎克彦 (80222298)

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14. 新井仁之 (10175953)

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15. 小森洋平 (70264794)

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16. 柳下剛広 (60781333)

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17. 村山拓也 (70963974)

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18. 香取眞理

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# of Collaborated Products: 1 results

Hotta Ikkei 堀田 一敬

Research Projects

Research Products

Co-Researchers

Loewner equation and Teichmueller space theory

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

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

Project Period (FY)

Research Category

Review Section

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Loewner theory on universal covering maps

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Researches of fundamental and applied properties for Modern Loewner TheoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

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Hotta Ikkei 堀田一敬