Ei Hiromi 江居宏美

… Alternative Names

江居宏美エイヒロミ

EI Hiromi 江居宏美

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Researcher Number	60333051
Other IDs
Affiliation (Current)	2025: 弘前大学, 理工学研究科, 准教授
Affiliation (based on the past Project Information) *help	2019 – 2023: 弘前大学, 理工学研究科, 准教授 2017 – 2018: 弘前大学, 理工学研究科, 助教 2015: 弘前大学, 大学院理工学研究科, 助教 2011 – 2015: 弘前大学, 理工学研究科, 助教 2011: 弘前大学, 大学院・理学研究科, 助教 2007 – 2008: Chuo University, 理工学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Foundations of mathematics/Applied mathematics
Keywords	Principal Investigator フラクタル / タイル張り / ベータ展開 / substitution / 複素連分数展開 / エルゴード理論 / 自由群 / タイリング / 記号力学系 / サブスティテューション … More Except Principal Investigator … More 数理モデル / 国際情報交換 / 国際研究者交流 / ユークリッドアルゴリズム / 連分数 / エルゴード理論 / 応用トポロジー / 数理モデル / 多面体的アニュラス / 多面体的曲面 / チェイン / フレームワーク / 折り変形 / トポロジー / 配置空間 / イスラエル:フランス:オランダ:韓国:ポーランド / イタリア：イギリス / 多国籍 / イスラエル、フランス、韓国 / アルゴリズム / 一様分布論 / タイリング / 準周期性 / grid / 準周期タイリング / 回転対称性 / タイル貼り / オランダ:フランス:韓国:イスラエル:イタリア / 非斉次ディオファンタス近似 / オランダ:フランス:韓国:イスラエル / Diophantus近似 / Rauzy induction Less

数論的手法により構成されるフラクタル図形の幾何学的性質についてPrincipal Investigator
- Principal Investigator
  
  江居宏美
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hirosaki University
Topology of configuration space model for viewing flow lines of flexible molecules
- Principal Investigator
  
  Komatsu Kazushi
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kochi University
Recent progress in ergodic theory of number theoretic algorithms
- Principal Investigator
  
  Nakada Hitoshi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
The construction of approximate grids for quasicrystals using control points
- Principal Investigator
  
  Komatsu Kazushi
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kochi University
An ergodic study of algorithms
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Characterization related to Rauzy fractals of substitutionsPrincipal Investigator
- Principal Investigator
  
  EI Hiromi
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Chuo University

All 2023 2020 2018 2016 2015 2014 2013 2012 2008 2007

All Journal Article Presentation

[Journal Article] ON THE ERGODIC THEORY OF MAPS ASSOCIATED WITH THE NEAREST INTEGER COMPLEX CONTINUED FRACTIONS OVER IMAGINARY QUADRATIC FIELDS2023
- Author(s)
  Hiromi Ei, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 43(11) Issue: 11 Pages: 3883-3924
- DOI
  10.3934/dcds.2023071
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03642, KAKENHI-PROJECT-22K03329, KAKENHI-PROJECT-20K03661
[Journal Article] On folding of planar regular pentagon rings2020
- Author(s)
  Hiromi Ei, Hiroko Hayashi and Kazushi Komatsu
- Journal Title
  
  Nihonkai Mathematical Journal
  
  Volume: 31 Pages: 45-58
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05366
[Journal Article] 正５角形リングパズル（Regular pentagon ring puzzle）2018
- Author(s)
  江居宏美，林浩子，小松和志
- Journal Title
  
  高知大学理工学部紀要
  
  Volume: 1 Pages: 6-6
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05366
[Journal Article] 偶数枚の直角二等辺三角形パネルから成る多面体的アニュラスのリバーシブルについて2018
- Author(s)
  江居宏美，小松和志，山内昌哲
- Journal Title
  
  高知大学理工学部紀要
  
  Volume: 1 Pages: 7-7
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05366
[Journal Article] Extremal discrepancy behaviour of lacunary sequences2015
- Author(s)
  C. Aistleitner, K. Fukuyama
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 177 Issue: 2 Pages: 167-184
- DOI
  10.1007/s00605-014-0693-4
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340020
[Journal Article] Optimal bound for the discrepancies of lacunary sequences2013
- Author(s)
  C. Aistleitner, K. Fukuyama, Y. Furuya
- Journal Title
  
  Acta Arithmetica
  
  Volume: 158 Issue: 3 Pages: 229-243
- DOI
  10.4064/aa158-3-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340017, KAKENHI-PROJECT-24340020
[Journal Article] On the law of the iterated logarithm for trigonometric series with bounded gaps2012
- Author(s)
  Christoph Aistleitner
- Journal Title
  
  Probability Theory and related Fields
  
  Volume: 154 Issue: 3-4 Pages: 607-620
- DOI
  10.1007/s00440-011-0378-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340020
[Journal Article] On サブスティテューション invariant sturmian words : an application of Rauzy fractals2007
- Author(s)
  Valerie BERTHE, 江居宏美, 伊藤俊次, Hui RAO
- Journal Title
  
  Theoret. Informatics Appl. vol. 41, no. 3
  
  Pages: 329-349
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740056
[Journal Article] Tilings of a Riemann surface and cubic Pisot numbers2007
- Author(s)
  榎本文彦, 江居宏美, 古門麻貴, 伊藤俊次
- Journal Title
  
  Hiroshima Math. J., vol. 37, no. 2
  
  Pages: 181-210
- NAID
  110006311484
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740056
[Presentation] Tilings arising from nearest integer complex continued fractions over imaginary quadratic fields2023
- Author(s)
  Hiromi EI
- Organizer
  Japanischen Kolloquium
- Data Source
  KAKENHI-PROJECT-22K03329
[Presentation] On absolutely continuous invariant measures for complex continued fraction maps2016
- Author(s)
  Hiromi Ei and Rie Natsui
- Organizer
  Substitutions and continued fractions
- Place of Presentation
  LIAFA, University of Paris 7, Paris (France)
- Year and Date
  2016-03-08
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] 有界間隙列の重複対数の法則についてII2014
- Author(s)
  C. Aistleitner Fukuyama, Katusi
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  広島大学、東広島市
- Year and Date
  2014-09-26
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] Atomic surfaces generated by automorphisms of rank 2 in some class2008
- Author(s)
  江居宏美
- Organizer
  International Workshop on Fractal Geometry and Ergodic Theory
- Place of Presentation
  Beijing Technology University and Tsinghua Uiversity (China)
- Year and Date
  2008-11-02
- Data Source
  KAKENHI-PROJECT-19740056
[Presentation] Connectedness of atomic surfaces generated by invertible substitutions2008
- Author(s)
  江居宏美
- Organizer
  Combinatorial and Computational aspects of Tilings
- Place of Presentation
  Imperial College London
- Year and Date
  2008-07-30
- Data Source
  KAKENHI-PROJECT-19740056
[Presentation] Connectedness of atomic surfaces generated by invertible substitutions2008
- Author(s)
  江居宏美
- Organizer
  Combinatorial and Computational aspects of Tilings
- Place of Presentation
  Imperial College London (England)
- Year and Date
  2008-07-30
- Data Source
  KAKENHI-PROJECT-19740056
[Presentation] Stepped surfaces generated by automorphisms of the free group2007
- Author(s)
  江居宏美
- Organizer
  Journees de Numeration
- Place of Presentation
  Austria, Graz
- Year and Date
  2007-04-16
- Data Source
  KAKENHI-PROJECT-19740056
[Presentation] Stepped surfaces generated by automorphisms of the free group2007
- Author(s)
  江居宏美
- Organizer
  Journees de Numeration
- Place of Presentation
  Graz University of Technology (Austria)
- Year and Date
  2007-04-16
- Data Source
  KAKENHI-PROJECT-19740056

1. FUKUYAMA Katsushi (60218956)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
2. NAKADA Hitoshi (40118980)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. TAMURA Akihisa (50217189)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. ATSUJI Atsushi (00221044)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. TAMURA Yozo (50171905)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. NATSUI Rie (60398633)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
7. HAMA Masaki (90389875)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. ISHIKAWA Shiro (10051913)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. MORITA Takehiko (00192782)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. INOUE Kae (90621011)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. Komatsu Kazushi (00253336)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
12. GOTO Satoru (50253232)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. KATSURA Takeshi (50513298)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. MIYAZAKI Takuya (10301409)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. YOSHIDA Masamichi (60264793)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. AKIYAMA Shigeki (60212445)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Ei Hiromi 江居 宏美

江居 宏美 エイ ヒロミ

EI Hiromi 江居 宏美

Research Projects

Research Products

Co-Researchers

数論的手法により構成されるフラクタル図形の幾何学的性質についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Topology of configuration space model for viewing flow lines of flexible molecules

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Recent progress in ergodic theory of number theoretic algorithms

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The construction of approximate grids for quasicrystals using control points

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

An ergodic study of algorithms

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Characterization related to Rauzy fractals of substitutionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] ON THE ERGODIC THEORY OF MAPS ASSOCIATED WITH THE NEAREST INTEGER COMPLEX CONTINUED FRACTIONS OVER IMAGINARY QUADRATIC FIELDS2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On folding of planar regular pentagon rings2020

Author(s)

Journal Title

Data Source

[Journal Article] 正５角形リングパズル（Regular pentagon ring puzzle）2018

Author(s)

Journal Title

Data Source

[Journal Article] 偶数枚の直角二等辺三角形パネルから成る多面体的アニュラスのリバーシブルについて2018

Author(s)

Journal Title

Data Source

[Journal Article] Extremal discrepancy behaviour of lacunary sequences2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Optimal bound for the discrepancies of lacunary sequences2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the law of the iterated logarithm for trigonometric series with bounded gaps2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On サブスティテューション invariant sturmian words : an application of Rauzy fractals2007

Author(s)

Journal Title

Data Source

[Journal Article] Tilings of a Riemann surface and cubic Pisot numbers2007

Author(s)

Ei Hiromi 江居宏美

江居宏美エイヒロミ

EI Hiromi 江居宏美