Researcher Profile and Settings

researchmap

https://researchmap.jp/30896840

Research funding number

30896840

Research Interests

• エルゴード理論
• Fractal geometry

Research Areas

• Natural sciences / Mathematical analysis
• Natural sciences / Basic analysis

Research Experience

• Hitotsubashi University, 非常勤講師, 2021/04 - 2023/08
• Keio University, Graduate School of Science and Technology, 研究員, 2020/04 - 2023/08
• Kyoto University of Foreign Studies / Kyoto Junior College of Foreign Languages, 非常勤講師, 2019/04 - 2020/03

Education

• Kyoto University, Graduate School of Human and Environmental Studies, Department of Human Coexistence Mathematical Science, 2017/04 - 2020/03
• Kyoto University, Graduate School of Science, 2016/03 - 2017/03
• Osaka University, Graduate School of Engineering Science, Department of Systems Innovation Division of Mathematical Science for Social Systems, 2015/04 - 2017/03
• Osaka University, School of engineering science, Department of Information and Computer sciences Mathematical Science Course, 2011/04 - 2015/03

Association Memberships

• The Mathematical Society of Japan, Apr. 2019, 9999

Published Papers

• Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions
  Kanji Inui; Hiroki Sumi
  Journal of Difference Equations and Applications, Informa UK Limited, 31(1) 32 - 47, 07 Aug. 2024, Scientific journal
  

  URLDOI URL
• The Hausdorff dimension function of the family of conformal iterated function systems of generalized complex continued fractions
  Kanji Inui; Hikaru Okada; Hiroki Sumi
  Discrete & Continuous Dynamical Systems - A, American Institute of Mathematical Sciences (AIMS), 40(2) 753 - 766, Feb. 2020, Scientific journal
  

  DOI URL
• Hausdorff measures and packing measures of limit sets of CIFSs of generalized complex continued fractions
  Kanji Inui; Hiroki Sumi
  Journal of Difference Equations and Applications, Informa UK Limited, 26(1) 104 - 121, 02 Jan. 2020, Scientific journal
  

  URLDOI URL

MISC

• Non-autonomous iterated function systems and fractals
  Inui Kanji
  RIMS Kôkyûroku, 京都大学数理解析研究所, 2176, Apr. 2021
  

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• Non-autonomous iterated function systems and fractals
  Inui Kanji
  第11回白浜研究集会報告集, 京都大学, 80 - 86, Dec. 2019
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji; Hino Masanori
  RIMS Kôkyûroku, 京都大学数理解析研究所, 2115 23 - 28, Jul. 2019
  

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• Dimensions and measures of the limit sets of infinite CIFSs related to the generalized complex continued fractions
  Inui Kanji
  Hokkaido University technical report series in mathematics, 北海道大学, 176 305 - 312, Mar. 2019
  

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• Dimensions and measures of the limit sets of infinite CIFSs related to the generalized complex continued fractions
  Inui Kanji
  第10回白浜研究集会報告集, 京都大学, 1 - 7, Nov. 2018
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji
  Hokkaido University technical report series in mathematics, 北海道大学, 173 287 - 291, Feb. 2018
  

  Permalink
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji
  第9回白浜研究集会報告集, 京都大学, 65 - 71, Jan. 2018

Books etc

• 「京大発」専門分野の越え方 : 対話から生まれる学際の探求 (執筆者として参加)
  萩原, 広道; 佐野, 泰之; 杉谷, 和哉; 須田, 智晴; 谷川, 嘉浩; 真鍋, 公希; 三升, 寛人; 総人のミカタ
  ナカニシヤ出版, Mar. 2023, Others, 第9章コメンタリー (pp.162), Scholarly book

Presentations

• Convergence of the uniform distributions on the l^\beta sphere in sense of metric measure geometry (ショートコミュニケーション)
  Kanji Inui
  確率論と幾何学2024 (Geometry and Probability 2024), 09 Jan. 2025, 山形市保健所視聴覚室(霞城セントラル3階)
• The limit set generated by the generalized iterated function systems
  伊縫 寛治
  葉層構造論シンポジウム（2024年）：特に複素解析的ベクトル場・葉層構造とその周辺について, 18 Oct. 2024, 静岡県男女共同参画センター「あざれあ」
• Understanding the limit sets generated by general iterated function systems on un- bounded spaces
  Kanji Inui
  2024 Fall Central Sectional Meeting, 14 Sep. 2024, University of Texas, San Antonio
• Understanding the limit set generated by the generalized iterated function systems
  Kanji Inui
  Saitama Dynamics 2024, 02 Sep. 2024, 埼玉大学
• Understanding the limit set generated by the generalized iterated function systems
  Kanji Inui
  RIMS共同研究（公開型）「ランダム・非自励・多価写像力学系理論の研究」, 30 Aug. 2024, 京都大学
• Convergence of the uniform distributions on the l p sphere in the sense of metric measure geometry
  Kanji Inui
  研究集会「Dirichlet forms and related topics」, 23 Aug. 2024, 関西大学 梅田キャンパス
• 一般化された反復関数系による極限集合の構成法について
  伊縫 寛治
  2024年度 京都力学系セミナー, 14 Jun. 2024, 京都大学
• An example of non-ergodic measure preserving systems (ショートコミュニケーション)
  伊縫 寛治
  RIMS 共同研究（公開型）「力学系の理論と応用」, 05 Jun. 2024, 京都大学
• Understanding the limit sets generated by general iterated function systems on un-bounded space
  Kanji Inui
  KiPAS Dynamics days (KiPDD) 2023, 27 Aug. 2023, 31 Aug. 2023, Poster presentation, 慶應義塾大学
• Fractal geometry and related topics
  伊縫 寛治
  NTT 基礎数学セミナー, 24 Jul. 2023, Invited oral presentation, 武蔵野研究開発センタ（東 京都武蔵野市）
• Understanding the limit sets generated by general iterated function systems on un-bounded spaces
  Kanji Inui
  The 13th AIMS Conference on Dynamical Systems Differential Equations and Applications, 04 Jun. 2023, Invited oral presentation, University of North Carolina Wilmington
• trees and non-autonomous iterated function systems
  伊縫 寛治
  Workshop「数論とエルゴード理論」, 11 Feb. 2023, Oral presentation
• General iterated function systems on unbounded spaces
  伊縫 寛治
  2022 年度 冬の力学系研究集会, 08 Jan. 2023, Oral presentation, 九州大学
• Non-autonomous iterated function systems and trees
  伊縫 寛治
  2022 年度エルゴード理論研究集会, 24 Nov. 2022, Oral presentation, 北見工業大学
• Non-autonomous iterated function systems and V-variable fractals
  伊縫 寛治
  数論・力学系若手研究集会, Aug. 2022, Invited oral presentation, 同志社大学
• Estimation of Markov kernels (ショートコミュニケーション)
  伊縫 寛治
  Keio Dynamics Day: geometric, probabilistic, number-theoretic aspects of dynamical systems, Aug. 2022, 慶應義塾大学
• Non-autonomous iterated function systems and fractals
  伊縫 寛治
  筑波大学公開セミナー, Jun. 2022, 筑波大学
• The Koopman operator and the Perron-Frobenius operator on reproducing kernel Hilbert spaces (オンライン講演)
  伊縫 寛治
  エルゴード理論とその周辺, Nov. 2021
• Non-autonomous iterated function systems and fractals (online)
  Inui Kanji
  岡山確率論セミナー, Oct. 2021, Oral presentation, 岡山大学
• Foundation of the theory of reproducing kernelHilbert spaces and its application (online)
  Inui Kanji
  慶應数理オンラインセミナー, Jul. 2021, Oral presentation, 慶應義塾大学
• Non-autonomous iterated function systems and fractals
  Inui Kanji
  第11回 白浜研究集会, Dec. 2019, Oral presentation, 和歌山県 和歌山県西牟婁郡 白浜町
• Non-autonomous iterated function systems and fractals
  Inui Kanji
  AMS Special Session on Fractal Geometry and Dynamical Systems, Nov. 2019, Oral presentation, University of Florida
• Non-autonomous iterated function systems and fractals
  Inui Kanji
  エルゴード理論とその周辺, Nov. 2019, Oral presentation, 新潟県 長岡市
• Non-autonomous iterated function systems and fractals
  Inui Kanji
  日本数学会2019年度秋季総合分科会, Sep. 2019, Oral presentation, 金沢大学
• Non-autonomous iterated function systems and fractals
  Inui Kanji
  2019年度RIMS共同研究（公開型）「ランダム力学系理論とフラクタル幾何学の研究」(Research on the Theory of Random Dynamical Systems and Fractal Geometry), Aug. 2019, Poster presentation, 京都大学
• Non-autonomous iterated function systems and fractals
  Inui Kanji
  2019年度RIMS共同研究（公開型）「ランダム力学系理論とフラクタル幾何学の研究」(Research on the Theory of Random Dynamical Systems and Fractal Geometry), Aug. 2019, Oral presentation, 京都大学
• Non-autonomous iterated function systems and fractals
  Inui Kanji
  確率論ヤングサマーセミナー 2019, Aug. 2019, Oral presentation, 宮城県 刈田郡
• Non-autonomous iterated function systems and fractals generated by the iterated function systems (short communication)
  Inui Kanji
  RIMS研究集会「力学系 -新たな理論と応用に向けて-」, Jun. 2019, Oral presentation, 京都大学
• Dimensions and measures of the limit sets of infinite CIFSs related to the generalized complex continued fractions
  Inui Kanji
  Workshop on Random Dynamical Systems and Anomalous Dynamics, Mar. 2019, Oral presentation, Imperial college London
• Dimensions and measures of the limit sets of infinite CIFSs related to the generalized complex continued fractions
  Inui Kanji
  第15回 数学総合若手研究集会 ～数学の交叉点～, Mar. 2019, Oral presentation, 北海道大学
• Dimensions and measures of the limit sets of infinite CIFSs related to the generalized complex continued fractions
  Inui Kanji
  2019年度 冬の力学系研究集会, Jan. 2019, Oral presentation, 日本大学 軽井沢研修所
• Dimensions and measures of the limit set of infinite conformal IFS related to the complex continued fractions
  Inui Kanji
  RIMS研究集会「複素力学系研究とその発展 (Complex dynamics and its development)」, Dec. 2018, Oral presentation, 京都大学
• Dimensions and measures of the limit set of infnite CIFSs related to the complex continued fractions
  Inui Kanji
  第10回 白浜研究集会, Nov. 2018, Oral presentation, 和歌山県 和歌山県西牟婁郡 白浜町
• Dimensions and measures of the limit sets of infinite CIFSs related to the generalized complex continued fractions
  Inui Kanji
  エルゴード理論とその周辺, Nov. 2018, Oral presentation, 大阪大学
• Dimensions and measures of the limit set of infinite conformal IFS related to the complex continued fractions
  Inui Kanji
  第53回函数論サマーセミナー, Aug. 2018, Oral presentation, 福岡県 北九州市
• Values of the Hausdorff measure and the packing measure of the limit sets of infinite conformal IFSs related to the complex continued fractions
  Inui Kanji
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, National Taiwan University, Jul. 2018, Oral presentation, National Taiwan University
• Values of the Hausdorff measure and the packing measure of the limit sets of infinite conformal IFSs related to the complex continued fractions
  Inui Kanji
  Boston university/Keio university workshop 2018 Dynamical Systems, Jun. 2018, Poster presentation, Boston University
• Values of the Hausdorff measure and the packing measure of the limit sets of infinite conformal IFSs related to the complex continued fractions
  Inui Kanji
  Boston university/Keio university workshop 2018 Dynamical Systems, Jun. 2018, Oral presentation, Boston University
• Values of the Hausdorff measure and the packing measure of the limit set of infinite conformal IFS related to the complex continued fractions
  Inui Kanji
  平成30年度 RIMS研究集会 「力学系－理論と応用の融合－」, Jun. 2018, Oral presentation, 京都大学
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji
  第14回 数学総合若手研究集会 ～数学の交叉点～, Feb. 2018, Oral presentation, 北海道大学
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji
  第9回 白浜研究集会, Jan. 2018, Oral presentation, 和歌山県 和歌山県西牟婁郡 白浜町
• Properties of dimensions and measures in infinite iterated function systems (short communication))
  Inui Kanji
  2018年度 冬の力学系研究集会, Jan. 2018, Oral presentation, 日本大学 軽井沢研修所
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji
  エルゴード理論とその周辺, Nov. 2017, Oral presentation, 広島大学
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji
  数理ファイナンスセミナー, Nov. 2017, Oral presentation, 立命館大学
• Discontinuity of energy density functions on Sierpinski gasket
  Hino Masanori, Inui Kanji
  2017年度RIMS共同研究（公開型）研究集会 -「ランダム力学系理論の総合的研究」-, Sep. 2017, Poster presentation, 京都大学
• Discontinuity of energy density functions on Sierpinski gasket
  Hino Masanori; Inui Kanji
  2017年度RIMS共同研究（公開型）研究集会 -「ランダム力学系理論の総合的研究」-, Sep. 2017, Oral presentation, 京都大学
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji
  2017年度確率論ヤングサマーセミナー (YSS2017), Aug. 2017, Oral presentation, 岡山県 倉敷市
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji
  京都力学系セミナー, Apr. 2017, Oral presentation, 京都大学
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji
  ワークショップ「確率論早春セミナー2017」, Mar. 2017, Oral presentation, 大阪市立大学
• Discontinuity of energy density functions on Sierpinski gasket
  Inui Kanji
  阪大力学系・フラクタルセミナー, Jan. 2017, Oral presentation, 大阪大学
• properties of energy measures of harmonic functions on the Sierpinski gasket (short communication))
  Inui Kanji
  2016年度確率論ヤングサマーセミナー (YSS2016), Aug. 2016, Oral presentation, 三重県 伊勢市

Social Contribution

• 総人のミカタ, 2018/04-2020/03, 京都大学, Seminar
• 総人・人環・学際セミナー『AIと創造性』, 2019/11-2019/11, 京都大学, Seminar
• 国際高等研究所 IIAS塾ジュニアセミナー, 2019/08/07-2019/08/09
• 国際高等研究所 IIAS塾ジュニアセミナー, 2018/08/08-2018/08/10

Teaching Experience

• Investigative Project
  Doshisha University
• Basic mathematics 2
  Doshisha University
• Linear algebra1
  Doshisha University
• Linear algebra 2
  Doshisha University
• Linear algebra 1
  Hitotsubashi University
• Practical Mathematics Skills
  Kyoto Junior College of Foreign Languages
• Introducaiton to Mathematical Logic
  Kyoto University of Foreign Studies

Others

• 2020年度AIPチャレンジチャレンジプログラム採択
  2020/04 -2021/03, 課題名:ランダム力学系に関する研究と計算手法の提案