NATSUI Rie 夏井利恵

… Alternative Names

夏井利恵ナツイリエ

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Researcher Number	60398633
Other IDs
Affiliation (Current)	2025: 日本女子大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2025: 日本女子大学, 理学部, 教授 2020 – 2023: 日本女子大学, 理学部, 准教授 2011 – 2018: 日本女子大学, 理学部, 准教授 2009 – 2011: Japan Women's University, 理学部, 講師 2007 – 2009: Japan Women's University, 理学部, 助教 2005: 慶應大, 理工学研究科, 助手
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / Global analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator エルゴード理論 / ユークリッドアルゴリズム / 測度論的数論 / 数論的アルゴリズム / 複素連分数変換 / 連分数変換 / ラムゼー理論 / natural extension / Hurwitz連分数 / 複素連分数 … More / 韓国 / フランス / 国際情報交換 / 連分数 / Diophantine近似 / 可測力学系 / Diophantine approximation / continued fractions / metric number theory / ergodic theory / 力学系理論 … More Except Principal Investigator 国際情報交換 / 国際研究者交流 / 連分数 / ユークリッドアルゴリズム / エルゴード理論 / 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 / 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 / イタリア:フランス:オランダ / フランス:オランダ:イスラエル / 測度論敵数論 / 測度論的数論 / 非アルキメデス数体 Less

無限大エルゴード変換に対するエルゴードラムゼー理論と測度論的数論の追究Principal Investigator
- Principal Investigator
  
  夏井利恵
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Japan Women's University
The search for ergodic Ramsey theory and Erdős conjecture toward the construction of infinite ergodic theoryPrincipal Investigator
- Principal Investigator
  
  夏井利恵
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Japan Women's University
Ergodic theory of number theoretic transformations toward the construction of infinite ergodic theoryPrincipal Investigator
- Principal Investigator
  
  Natsui Rie
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Japan Women's 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 the infinite ergodic theory and the application to metric number theoryPrincipal Investigator
- Principal Investigator
  
  NATSUI Rie
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Japan Women's 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
Ergodic theory of the measurable dynamical systems with infinite invariant measure and its applications to metric number theoryPrincipal Investigator
- Principal Investigator
  
  NATSUI Rie
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Japan Women's University
Ergodic theory and metric number theory
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
無限大不変測度を持つエルゴード的変換の分類Principal Investigator
- Principal Investigator
  
  夏井利恵
- Project Period (FY)
  2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Keio University

[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 the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields2022
- Author(s)
  Hiromi Ei, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Journal of Number Theory
  
  Volume: 238 Pages: 106-132
- DOI
  10.1016/j.jnt.2021.08.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03642, KAKENHI-PROJECT-20K03661
[Journal Article] Analysis of generalized continued fraction algorithms over polynomials2021
- Author(s)
  Valerie Berthe, Hitoshi Nakada, Rie Natsui, Brigitte Vallee
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 73 Pages: 101849-101849
- DOI
  10.1016/j.ffa.2021.101849
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03642, KAKENHI-PROJECT-20K03661
[Journal Article] On the construction of the natural extension of the Hurwitz complex continued fraction map.2019
- Author(s)
  Hiromi Ei, Shunji Ito, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 188 Issue: 1 Pages: 37-86
- DOI
  10.1007/s00605-018-1229-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K13766, KAKENHI-PROJECT-15K17559
[Journal Article] On the Construction of Continued Fraction Normal Series in Positive Characteristic2017
- Author(s)
  Dong Han KIM, Hitoshi NAKADA and Rie NATSUI
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 39
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17559
[Journal Article] On the construction of continued fraction normal series in positive characteristic2016
- Author(s)
  D.H. Kim, H. Nakada, R. Natsui
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340020
[Journal Article] Farey Maps, Diophantine Approximation and Bruhat-Tits tree2014
- Author(s)
  Dong Han Kim, Seonhee Lim, Hitoshi Nakada, and Rie Natsui
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 30 Pages: 14-32
- DOI
  10.1016/j.ffa.2014.05.007
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740088, KAKENHI-PROJECT-24340020
[Journal Article] On the equivalence relations of α-continued fractions2014
- Author(s)
  Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Indagationes Mathematicae
  
  Volume: 25 Issue: 4 Pages: 800-815
- DOI
  10.1016/j.indag.2014.02.006
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740088, KAKENHI-PROJECT-24340020
[Journal Article] Fine costs for Euclid’s algorithm on polynomials and Farey maps2014
- Author(s)
  Valerie Berthe, Hitoshi Nakada, Rie Natsui, Brigitte Vallee
- Journal Title
  
  Advances in Applied Mathematics
  
  Volume: 54 Pages: 27-65
- DOI
  10.1016/j.aam.2013.11.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740088, KAKENHI-PROJECT-24340020
[Journal Article] A refined Kurzweil type theorem in positive characteristic2013
- Author(s)
  Dong Han Kim, Hitoshi Nakada, Rie Natsuic
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 20 Pages: 64-75
- DOI
  10.1016/j.ffa.2012.12.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740088, KAKENHI-PROJECT-24340020
[Journal Article] On the Legendre constant of α-continued fractions2011
- Author(s)
  Rie Natsui
- Journal Title
  
  Journal of Number Theory
  
  Volume: vol. 131 Issue: 3 Pages: 487-507
- DOI
  10.1016/j.jnt.2010.09.008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] On the Legendre constant of α-continued fractions2011
- Author(s)
  夏井利恵
- Journal Title
  
  Journal of Number Theory
  
  Volume: 131 Pages: 487-507
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] Generalized Brjuno functions associated toα-continued fractions2010
- Author(s)
  Laura Luzzi, Stefano Marmi, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Journal of Approximation Theory 162号
  
  Pages: 24-41
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19549005
[Journal Article] Generalized Brjuno functions associated to α-continued fractions2010
- Author(s)
  L.Luzzi, S.Marmi, H.Nakada, R.Natsui
- Journal Title
  
  Journal of Approximation Theory 162
  
  Pages: 24-41
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19549005
[Journal Article] Generalized Brjuno functions associated to α-continued fractions2010
- Author(s)
  Laura Luzzi, Stefano Marmi, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Journal of Approximation Theory
  
  Volume: vol. 162 Issue: 1 Pages: 24-41
- DOI
  10.1016/j.jat.2009.02.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] The non-monotonicity of the entropy ofα-continued fraction transformations2008
- Author(s)
  Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Nonlinearity 21号
  
  Pages: 1207-1225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19549005
[Journal Article] The non-monotonicity of the entropy of α-continued fraction transformations2008
- Author(s)
  Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Nonlinearity 21
  
  Pages: 1207-1225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19549005
[Journal Article] Natsui, Asymptotic behavior of the number of solutions for non-archimedean diophantine approximations with restricted denominators2008
- Author(s)
  Valerie Berthe, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Finite Fields Appl.14 no.4
  
  Pages: 849-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators2008
- Author(s)
  Valerie Berthe, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Finite Fields and Their Applications 14
  
  Pages: 849-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19549005
[Journal Article] The non-monotonicity of the entropy of a-continued fraction transformations2008
- Author(s)
  Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Nonlinearity 21 no.6
  
  Pages: 1207-1225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators2008
- Author(s)
  Valerie Berthe, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Finite Fields and Their Applications 14号
  
  Pages: 849-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19549005
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations2006
- Author(s)
  Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Acta Arith. 125 no.3
  
  Pages: 203-214
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations2006
- Author(s)
  H.Nakada, R.Natsui
- Journal Title
  
  Acta Arithmetica 125-3
  
  Pages: 727-751
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Arithmetic distributions of convergents arising from Jacobi-Perron algorithm2006
- Author(s)
  Valerie Berthe, Hitoshi Nakada, Rie Natsui
- Journal Title
  
  Indag. Math. (N.S.) 17 no.2
  
  Pages: 169-185
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Arithmetic distributions of convergents arishing from Jacobi-Perron algorithm2006
- Author(s)
  V.Berthe, H.Nakada, R.Natsui
- Journal Title
  
  Indagationes Mathematicae 17-2
  
  Pages: 169-185
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] パーコレーション理論を用いた学習効果の分析と臨界確率の考察2024
- Author(s)
  穂高あかり, 夏井利恵
- Organizer
  2024年度数学教育学会春季年会
- Data Source
  KAKENHI-PROJECT-20K03642
[Presentation] パーコレーション理論を用いた学習効果の分析2023
- Author(s)
  穂高あかり, 夏井利恵
- Organizer
  2023年度数学教育学会秋季例会
- Data Source
  KAKENHI-PROJECT-20K03642
[Presentation] On the group extension of a complex continued fraction map2022
- Author(s)
  Rie Natsui
- Organizer
  Recent Progress in Ergodic Theory
- Data Source
  KAKENHI-PROJECT-20K03642
[Presentation] On the group extension of complex continued fraction maps2019
- Author(s)
  Rie Natsui
- Organizer
  St Virgil FWF/JSPS Meeting
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17559
[Presentation] On the ergodic properties of the nearest integer continued fraction map over an imaginary quadratic field2018
- Author(s)
  Rie Natsui
- Organizer
  St Virgil FWF/JSPS Meeting
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17559
[Presentation] On the construction of the natural extensions of the nearest integer complex continued fraction maps2018
- Author(s)
  Rie Natsui
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17559
[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] 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（パリ）
- Year and Date
  2016-03-08
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17559
[Presentation] On the existence of the Legendre constant for a -continued fractions2012
- Author(s)
  夏井利恵
- Organizer
  Ergodic Theory and Metric Number Theory
- Place of Presentation
  日本女子大学新泉山会館
- Year and Date
  2012-12-06
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] Bit complexity of some Euclidean type algorithms2011
- Author(s)
  夏井利恵
- Organizer
  エルゴード理論とその周辺
- Place of Presentation
  大阪大学
- Year and Date
  2011-12-07
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Bit complexity and some Eucleidean type algorithm over F_q[X]^32011
- Author(s)
  Rie Natsui
- Place of Presentation
  大阪大学理学部
- Year and Date
  2011-12-07
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Euclidean algorithm over F_q[X]2010
- Author(s)
  夏井利恵
- Organizer
  Japan-Korea Workshop on Number Theory and Ergodic Theory
- Place of Presentation
  京都大学数理解析研究所(京都)(招待講演)
- Year and Date
  2010-07-27
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Eucleidean algorithm over F_q[X]2010
- Author(s)
  Rie Natsui
- Organizer
  apan-Korea Workshop on Number Theory and Ergodic Theory
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-07-27
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Euclidean algorithm over F_q[X] and its cost functions2010
- Author(s)
  夏井利恵
- Organizer
  Functions in Number Theory and Their Probabilistic Aspects
- Place of Presentation
  京都大学数理解析研究所(京都)(招待講演)
- Year and Date
  2010-12-17
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Eucleidean algorithm over F_q[X] and its cost functions2010
- Author(s)
  Rie Natsui
- Organizer
  Functions in NUmber Theory and Their Probabilistic Aspects
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-12-17
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On the Euclidean algorithm and Farey map for formal power series2009
- Author(s)
  夏井利恵
- Organizer
  研究集会「エルゴード理論の最近の話題
- Place of Presentation
  北海道大学理学部(札幌市)
- Year and Date
  2009-11-06
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Euclidean algorithm in positive characteristic and associated Farey map2009
- Author(s)
  Rie Natsui
- Organizer
  Dynamics of complex systems 2009
- Place of Presentation
  北海道大学理学部
- Year and Date
  2009-08-31
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] On the Euclidean algorithm and Farey map for formal power series2009
- Author(s)
  Rie Natsui
- Organizer
  Recent Topics in Ergodic Theory
- Place of Presentation
  日本大学(東京)
- Year and Date
  2009-11-06
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] Non-monotonicity of entropy of alpha-continued fraction transformations2009
- Author(s)
  Rie Natsui
- Organizer
  Measurable and Topological Dynamical Systems in Asia
- Place of Presentation
  Ajou University(Korea、Suwon)
- Year and Date
  2009-06-18
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] Euclidean algorithm in positive characteristic and associated Farey map2009
- Author(s)
  夏井利恵
- Organizer
  研究集会「Dynamics of complex systems 2009」
- Place of Presentation
  北海道大学理学部(札幌市)
- Year and Date
  2009-08-31
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Non-monotonicity of entropy of alpha continued fractiontransformations2009
- Author(s)
  Rie Natsui
- Organizer
  Workshop on Measurable and Topological Dynamical Systems in Asia
- Place of Presentation
  Ajou University 韓国
- Year and Date
  2009-06-18
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Euclidean algorithm in positive characteristic and associated Farey map2009
- Author(s)
  夏井利恵
- Organizer
  Dynamics of complex systems 2009
- Place of Presentation
  北海道大学(北海道)
- Year and Date
  2009-08-31
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] On the Euclidean algorthm and farey map for formal power series2009
- Author(s)
  Rie Natsui
- Organizer
  Recent Topics in Ergodic Theory
- Place of Presentation
  日本大学(東京)
- Year and Date
  2009-11-06
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] On the Eucleidean algorithm and Farey map for formal power series2009
- Author(s)
  Rie Natsui
- Organizer
  エルゴード理論の最近の話題
- Place of Presentation
  日本大学文理学部
- Year and Date
  2009-11-06
- Data Source
  KAKENHI-PROJECT-21340027
[Presentation] Non-monotonicity of entropy of alpha-continued fraction transformations2009
- Author(s)
  Rie Natsui
- Organizer
  Measurable and Topological Dynamical Systems in Asia
- Place of Presentation
  Ajou University (Korea, Suwon)
- Year and Date
  2009-06-18
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] α-Rosen continued fractionsについて2008
- Author(s)
  夏井利恵
- Organizer
  数論とエルゴード理論
- Place of Presentation
  金沢大学(石川)
- Year and Date
  2008-02-10
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] α-Rosen continued fractionsについて2008
- Author(s)
  夏井利恵
- Organizer
  数論とエルゴード理論
- Place of Presentation
  金沢大学
- Year and Date
  2008-02-10
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximation with restricted denominators2008
- Author(s)
  夏井利恵
- Organizer
  エルゴード理論とその周辺
- Place of Presentation
  日本大学
- Year and Date
  2008-11-29
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators2008
- Author(s)
  夏井利恵
- Organizer
  エルゴード理論とその周辺
- Place of Presentation
  日本大学(東京)
- Year and Date
  2008-11-29
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators2008
- Author(s)
  夏井利恵
- Organizer
  エルゴート理論とその周辺
- Place of Presentation
  日本大学文理学部
- Year and Date
  2008-11-29
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] On the entropy of alpha-continued fraction transformations2007
- Author(s)
  Rie Natsui
- Organizer
  Ergodic Theory and its applications
- Place of Presentation
  慶應義塾大学(神奈川)
- Year and Date
  2007-12-21
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] On the entropy of alpha-continued fraction transformations2007
- Author(s)
  夏井利恵
- Organizer
  エルゴード理論とその応用
- Place of Presentation
  慶磨義塾大学
- Year and Date
  2007-12-21
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] On the entropy of α-continued fraction transformations2007
- Author(s)
  夏井利恵
- Organizer
  エルゴード理論とその応用
- Place of Presentation
  慶應義塾大学
- Year and Date
  2007-12-21
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] α-連分数変換から作られる確率過程の1-parameter familyのentropyの変化について2007
- Author(s)
  夏井利恵, 仲田均
- Organizer
  2007日本数学会秋季総合分科会統計数学分科会
- Place of Presentation
  東北大学(宮城)
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] α-連分数変換から作られる確率過程の1-parameter familyのentropyの変化について2007
- Author(s)
  H. Nakada(with Rie Natsui)
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] α-連分数変換から作られる確率過程の1-parameter familyのentropyの変化について2007
- Author(s)
  夏井利恵
- Organizer
  2007日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-12
- Data Source
  KAKENHI-PROJECT-19549005
[Presentation] On generalized Brjuno functions associated to α-continued fractions2006
- Author(s)
  夏井利恵
- Organizer
  エルゴード理論の展望
- Place of Presentation
  三重大学
- Year and Date
  2006-12-05
- Data Source
  KAKENHI-PROJECT-18340032
[Presentation] The equivalence relations of α-continued fractions
- Author(s)
  Rie Natsui
- Organizer
  Measurable and Topological Dynamical Systems -- Keio 2013
- Place of Presentation
  慶應義塾大学日吉キャンパス
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] On the existence of the Legendre constant for $\alpha$ continued fractions
- Author(s)
  Rie Natsui
- Organizer
  Ergodic Theory and Metric Number Theory
- Place of Presentation
  日本女子大学
- Data Source
  KAKENHI-PROJECT-23740088
[Presentation] The equivalence relations of α-continued fraction
- Author(s)
  Rie Natsui
- Organizer
  Measurable and Topological Dynamical Systems, Keio 2013
- Place of Presentation
  慶應義塾大学
- Data Source
  KAKENHI-PROJECT-23740088
[Presentation] Bit complexity of some Euclidean type algorithms
- Author(s)
  夏井利恵
- Organizer
  エルゴード理論とその周辺
- Place of Presentation
  大阪大学
- Data Source
  KAKENHI-PROJECT-23740088

1. NAKADA Hitoshi (40118980)

# of Collaborated Projects: 3 results

# of Collaborated Products: 10 results
2. TAMURA Yozo (50171905)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. FUKUYAMA Katsushi (60218956)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. HAMA Masaki (90389875)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. EI Hiromi (60333051)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
11. MORITA Takehiko (00192782)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. MAEJIMA Makoto (90051846)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. TANAKA Takaaki (60306850)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. YASUDA Kumi (40284484)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. ISHII Ippei (90051929)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

NATSUI Rie 夏井 利恵

夏井 利恵 ナツイ リエ

Research Projects

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Co-Researchers

無限大エルゴード変換に対するエルゴードラムゼー理論と測度論的数論の追究Principal Investigator

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The search for ergodic Ramsey theory and Erd&#337;s conjecture toward the construction of infinite ergodic theoryPrincipal Investigator

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Ergodic theory of number theoretic transformations toward the construction of infinite ergodic theoryPrincipal Investigator

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Recent progress in ergodic theory of number theoretic algorithms

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The construction of the infinite ergodic theory and the application to metric number theoryPrincipal Investigator

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An ergodic study of algorithms

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Ergodic theory of the measurable dynamical systems with infinite invariant measure and its applications to metric number theoryPrincipal Investigator

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Ergodic theory and metric number theory

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無限大不変測度を持つエルゴード的変換の分類Principal Investigator

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

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[Journal Article] On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields2022

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[Journal Article] Analysis of generalized continued fraction algorithms over polynomials2021

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[Journal Article] On the construction of the natural extension of the Hurwitz complex continued fraction map.2019

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[Journal Article] On the Construction of Continued Fraction Normal Series in Positive Characteristic2017

NATSUI Rie 夏井利恵

夏井利恵ナツイリエ

The search for ergodic Ramsey theory and Erdős conjecture toward the construction of infinite ergodic theoryPrincipal Investigator