• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

NATSUI Rie  夏井 利恵

ORCIDConnect your ORCID iD *help
… Alternative Names

夏井 利恵  ナツイ リエ

Less
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
  • Research Projects

    (9 results)
  • Research Products

    (66 results)
  • Co-Researchers

    (17 People)
  •  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

All 2024 2023 2022 2021 2019 2018 2017 2016 2014 2013 2012 2011 2010 2009 2008 2007 2006 Other

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 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

URL: 

Are you sure that you want to link your ORCID iD to your KAKEN Researcher profile?
* This action can be performed only by the researcher himself/herself who is listed on the KAKEN Researcher’s page. Are you sure that this KAKEN Researcher’s page is your page?

この研究者とORCID iDの連携を行いますか?
※ この処理は、研究者本人だけが実行できます。

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi