Nakane Shizuo 中根静男

… Alternative Names

中根静男ナカネシズオ

NAKANE Shizuo 中根静男

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Researcher Number	50172359
Other IDs
External Links
Affiliation (Current)	2025: 東京工芸大学, 工学部, 名誉教授
Affiliation (based on the past Project Information) *help	2019 – 2022: 東京工芸大学, 工学部, 名誉教授 2016 – 2018: 東京工芸大学, 工学部, 教授 2005 – 2013: 東京工芸大学, 工学部, 教授 2005: 東京工業大学, 工学部, 教授 2002: TOKYO INSTITUTE OF POLYTECHNICS, 工学部, 教授 … More 1999 – 2002: 東京工芸大学, 工学部, 助教授 1991 – 1997: 東京工芸大学, 工学部, 助教授 1989: 東京工芸大学, 工学部教養, 講師 Less
Review Section/Research Field	Principal Investigator Basic analysis / Global analysis / 解析学 Except Principal Investigator Basic analysis / 代数学・幾何学 / Algebra
Keywords	Principal Investigator parabolic implosion / stretching rays / stretching ray / radial Julia set / Fatou vector / Boettcher vector / Grotzsch defect / holomorphic index / Ecalle height / hyperbolic component … More / multicorn / skew product / 複素力学系 / polynomial skew product / Axiom A / base Julia set / 遊走領域 / 関数論 / Lavaurs 写像 / fiber filled Julia 集合 / Lavaurs map / finger / critical portrait / Lavaurs 写像 / tangent to the identity / 形式的共役 / parabolic curve / characteristic direction / implosion / スーパーサドル / fiber Julia-Lavaurs 集合 / fiber Julia 集合 / サドル不動点 / biquadratic maps / Bottcher vector / parabolic arc / Fatou coordinates / porous / parabolic implosion analysis / bifurcation / Julia set / antipolynomial / 反正則分岐 / 非弧状連結性 / external ray / muHicorn / 内射線 / critical value map / parabolic arcs / hyperbolic components / 分岐 / Julia集合 / 反多項式 / 不安定多様体 / 安定多様体 / 危点集合 / solenoid / holomorphic motion / relation / saddle basic set / fiber Julia集合 / base Julia集合 / 複素解析 / bifurcation measure / Boettcher-Lavaurs vector / monodromy / central hyperbolic component / Branner-Hubbard deformation / bifurcation current / 実biquadratic polynomials / Chebyshev写像 / pointwise accumulation set / 集積点集合 / stretching map / parabolic locus / component-wise accumulation set / point-wise accumulation set / fiber Julia set / Axiom A polynomial skew product / straightening map / Branner-Hubbard-Lavaurs deformation … More Except Principal Investigator 消滅定理 / 解析多様体 / 代数多様体 / vanishing theorem / ディオファントス問題 / 高次元多様体 / 超越整関数 / 分類理論 / 代数幾何学 / semihyperbolicity / hyperbolic component / parameter space function / singular value / structurally finite entire / complex error function / transcendental entire function / complex dynamics / 双曲型整関数 / ジュリア集合 / ファトウ集合 / 半双曲性 / 双曲成分 / パラメータ空間 / 特異値 / 構造有限型整関数 / 複素誤差関数 / 複素力学系 / logarithmic poles / Kawamata covering / Kummer covering / minimal model conjecture / log-algebraic log-stacks / algbraic stacks / Iitaka-Viehweg conjecture / 双有理分類 18FA06:消滅定理 / 算術多様体 / ヴェーュ予想 / 飯高プログラム / 双有理幾何学 / ホッジ理論 / ホッヂ加群 / 非藤木多様体 / 代数的対数堆積 / クンマー被覆 / 代数的堆積 / Fourier-Deligne transformation / deformation theory / gerbe / champ / classification theory / higher dimensional variety / algebraic geometry / Dー加群・ホッヂ加群 / ケ-ラ-多様体 / クンマ-被覆 / ホッヂ理論 / ケーラー多様体 / 代数堆積 / 概型(スキーム) / シャン / フーリェ・ドリーニュ変換 / 変形理論 / ジェルブ / シャン(スタック) / 代数幾何 / 多項式 / Fatou集合 / Julia集合 / ディリクレ問題 / 微分方程式 / 組合せ論 Less

Theory of implosion in complex dynamics in dimensions one and higher and its applicationsPrincipal Investigator
- Principal Investigator
  
  Nakane Shizuo
- Project Period (FY)
  2016 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Polytechnic University
Bidirectional research between complex dynamics of polynomials and transcendental entire functions
- Principal Investigator
  
  KISAKA Masashi
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
A study on the dynamics of two dimensional polynomial skew productsPrincipal Investigator
- Principal Investigator
  
  NAKANE Shizuo
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Polytechnic University
A study on the dynamics of the family of complex cubic polynomialsPrincipal Investigator
- Principal Investigator
  
  NAKANE Shizuo
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Polytechnic University
Studies on complex dynamics of transcendental entire functions
- Principal Investigator
  
  MOROSAWA Shunsuke
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KOCHI UNIVERSITY
Research on the dynamics of cubic polynomials (on the topological structure of the parameter space)Principal Investigator
- Principal Investigator
  
  NAKANE Shizuo
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  TOKYO INSTITUTE OF POLYTECHNICS
A study of the dynamics of a family of antipolynomialsPrincipal Investigator
- Principal Investigator
  
  NAKANE Shizuo
- Project Period (FY)
  1995 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Polytechnics
RESEARCH OF ARITHMETIC VARIETIES AND ALGEBRAIC/ANALYTIC STACKS
- Principal Investigator
  
  MAEHARA Kazuhisa
- Project Period (FY)
  1994 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  TOKYO INSTITUTE OF POLYTECHNICS
Research of algebro-analytic varieties of higher dimension
- Principal Investigator
  
  MAEHARA Kazuhisa
- Project Period (FY)
  1991 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Institute of Polytechnics
高次元代数多様体の研究
- Principal Investigator
  
  MAEHARA Kazuhisa
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Polytechnic University

[Journal Article] Fiber Julia sets of polynomial skew products with super-saddle fixed points2021
- Author(s)
  Shizuo Nakane
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 149 Issue: 6 Pages: 2539-2550
- DOI
  10.1090/proc/15345
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05213
[Journal Article] An implosion arising from saddle connection in 2D complex dynamics2019
- Author(s)
  H. Inou, S. Nakane
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: ６８ Issue: 1 Pages: 35-61
- DOI
  10.1512/iumj.2019.68.7577
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05213, KAKENHI-PROJECT-18K03367, KAKENHI-PROJECT-26287016
[Journal Article] An implosion arising from saddle connection in 2D complex dynamics2018
- Author(s)
  H. Inou, S. Nakane
- Journal Title
  
  Indiana University Mathematical Journal
  
  Volume: 掲載決定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05213
[Journal Article] On multicorns and unicorns II: bifurcations in spaces of antiholomorphic polynomials2017
- Author(s)
  S. Mukherjee, S. Nakane, D. Schleicher
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 37 Issue: 3 Pages: 859-899
- DOI
  10.1017/etds.2015.65
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05213
[Journal Article] Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C22013
- Author(s)
  S.Nakane
- Journal Title
  
  Ergodic Theory and Dyna- mical Systems
  
  Volume: 33 Pages: 1124-1145
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540174
[Journal Article] Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C22013
- Author(s)
  中根静男
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 33 Issue: 4 Pages: 1124-1145
- DOI
  10.1017/s0143385712000193
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540174, KAKENHI-PROJECT-21540203
[Journal Article] Presurgical nasoalveolar molding orthopedic treatment improves the outcome of primary cheiloplasty of unilateral complete cleft lip and palate, as assessed by naris morphology and cleft gap.2012
- Author(s)
  Toru Yanagawa, Shizuo Nakane, et.al.
- Journal Title
  
  Journal of Craniofacial Surgery
  
  Volume: Vol. 23 Issue: 6 Pages: 1596-1601
- DOI
  10.1097/scs.0b013e31825196dc
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540203, KAKENHI-PROJECT-23659935
[Journal Article] On saddle basic sets for Axiom A polynomial skew products on C^22012
- Author(s)
  Shizuo Nakane
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1807 Pages: 66-73
- Data Source
  KAKENHI-PROJECT-21540203
[Journal Article] On saddle basic sets forAxiom A polynomial skew products on C^2.2012
- Author(s)
  Shizuo Nakane
- Journal Title
  
  数理解析研究所講究録
  
  Volume: Vol. 1807 Pages: 66-73
- Data Source
  KAKENHI-PROJECT-21540203
[Journal Article] A novel method for evaluating postsurgical results of unilateral cleft lip and palate with theuse of Hausdorff distance.2012
- Author(s)
  Toru Yanagawa, Shizuo Nakane, et.al
- Journal Title
  
  Oral Surg OralMed Oral Pathol Oral Radiol
  
  Volume: Vol.114 Issue: 6 Pages: 704-711
- DOI
  10.1016/j.oooo.2012.01.042
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540203, KAKENHI-PROJECT-23659935
[Journal Article] An example of non Axiom A polynomial skew products2012
- Author(s)
  S.Nakane
- Journal Title
  
  東京工芸大学工学部紀要
  
  Volume: 34 Pages: 20-26
- NAID
  110009550265
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540174
[Journal Article] On saddle basic sets for Axiom A polynomial skew product of C^22012
- Author(s)
  中根静男
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1807 Pages: 66-73
- Data Source
  KAKENHI-PROJECT-21540174
[Journal Article] Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C^22011
- Author(s)
  Shizuo Nakane
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1762 Pages: 114-119
- Data Source
  KAKENHI-PROJECT-21540203
[Journal Article] Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C^2.2011
- Author(s)
  Shizuo Nakane
- Journal Title
  
  数理解析研究所講究録
  
  Volume: Vol. 1762 Pages: 114-119
- Data Source
  KAKENHI-PROJECT-21540203
[Journal Article] Postcritical sets and saddle basic sets for AxiomA polynomial skew products on C^22011
- Author(s)
  中根静男
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1,762 Pages: 114-119
- Data Source
  KAKENHI-PROJECT-21540174
[Journal Article] Component-wise accumulation sets for Axiom A polynomial skew products2010
- Author(s)
  Shizuo Nakane
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1699 Pages: 81-87
- Data Source
  KAKENHI-PROJECT-21540203
[Journal Article] Component-wise accumu- lation sets for Axiom A polynomial skew products.2010
- Author(s)
  Shizuo Nakane
- Journal Title
  
  数理解析研究所講究録
  
  Volume: Vol. 1699 Pages: 81-87
- Data Source
  KAKENHI-PROJECT-21540203
[Journal Article] Branner-Hubbard- Lavaurs deformations for real cubic poly- nomials with a parabolic fixed point.2009
- Author(s)
  Shizuo Nakane
- Journal Title
  
  Conformal Geometry and Dynamics
  
  Volume: Vol. 13 Issue: 5 Pages: 110-123
- DOI
  10.1090/s1088-4173-09-00192-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540203
[Journal Article] Remarks on Axiom A polynomial skew products of higher degrees2009
- Author(s)
  Shizuo Nakane
- Journal Title
  
  Proceedings of 16^<th> ICFIDCAA
  
  Pages: 196-200
- Data Source
  KAKENHI-PROJECT-21540203
[Journal Article] Remarks on Axiom A polynomial skew products of higher degrees. Proc2009
- Author(s)
  Shizuo Nakane
- Journal Title
  
  International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
  
  Pages: 196-200
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] Branner-Hubbard-Lavaurs deformations for real cubic polynomials with a parabolic fixed point2009
- Author(s)
  Shizuo Nakane
- Journal Title
  
  Conformal Geometry and Dynamics 13
  
  Pages: 110-123
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540203
[Journal Article] Branner-Hubbard-Lavaurs deformations for real cubic polynomials with a parabolic fixed point2009
- Author(s)
  Shizuo Nakane
- Journal Title
  
  Conformal Geometry and Dynamics Vol.13
  
  Pages: 110-123
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] Remarks on Axiom A poly- nomial skew products of higher degrees.2009
- Author(s)
  Shizuo Nakane
- Journal Title
  
  Proceedings of ICFIDCAA
  
  Volume: Vol.16 Pages: 196-200
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540203
[Journal Article] External rays for polynomial maps of two variables associated with Chebyshev maps2008
- Author(s)
  Shizuo Nakane
- Journal Title
  
  Jounal of Mathematical Analysis and Applications Vol.338
  
  Pages: 552-562
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] Branner-Hubbard-Lavaurs deformation of parabolic cubic polynomials2008
- Author(s)
  Shizuo Nakane
- Journal Title
  
  Proc. 15^<th> Int. Conf. on Fin. or Inf. Dim. Complex Anal. and Appl.
  
  Pages: 301-306
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] External rays for polynomial maps of two variables associated with Chebyshev maps2008
- Author(s)
  Shizuo Nakane
- Journal Title
  
  Journal of Mathematical Analysis and Applications 338
  
  Pages: 552-562
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] A mathematical study of Carnot cycles for real gasses2007
- Author(s)
  Shizuo Nakane
- Journal Title
  
  JP Jour. Solids & Structures Vol.1
  
  Pages: 27-33
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] A mathematical study of Carnot cycles for real gases2007
- Author(s)
  Shizuo Nakane
- Journal Title
  
  JP Journal of Solids and Structures 1
  
  Pages: 27-33
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] Branner-Hubbard-Lavaurs deformation of parabolic cubic polynomials2006
- Author(s)
  Shizuo Nakane
- Journal Title
  
  京都大学数理解析研究所講究録 1494
  
  Pages: 96-98
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] Non-landing of stretching rays for real cubic polynomials and real biquadratic polynomials2006
- Author(s)
  Shizuo Nakane
- Journal Title
  
  数理解析研究所講究録 1447
  
  Pages: 164-169
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] Dynamics of a family of quadratic maps in the quaternion space2005
- Author(s)
  Shizuo Nakane
- Journal Title
  
  International Journal of Bifurcation and Chaos Vol.15
  
  Pages: 2535-2543
- NAID
  110000272991
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] Dynamics of a family of quadratic maps in the quaternion space2005
- Author(s)
  S.Nakane
- Journal Title
  
  International Journal of Bifurcation and Chaos 15
  
  Pages: 2535-2543
- NAID
  110000272991
- Data Source
  KAKENHI-PROJECT-17540163
[Journal Article] Dynamics of a family of quadratic maps in the quaternion space2005
- Author(s)
  Shizuo Nakane
- Journal Title
  
  International Journal of Bifurcation and Chaos 15
  
  Pages: 2535-2543
- NAID
  110000272991
- Data Source
  KAKENHI-PROJECT-17540177
[Journal Article] Component-wise accumulation sets of critical sets for Axiom A polyno-mial skew products
- Author(s)
  中根静男
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1699 Pages: 81-87
- Data Source
  KAKENHI-PROJECT-21540174
[Presentation] Stretching rays for cubic polynomials2020
- Author(s)
  中根　静男
- Organizer
  第63回函数論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-16K05213
[Presentation] Finger-like structures in polynomial skew products2019
- Author(s)
  Shizuo Nakane
- Organizer
  RIMS complex dynamics conference 2019
- Data Source
  KAKENHI-PROJECT-16K05213
[Presentation] Fiber Julia sets for maps with super-saddle fixed points2018
- Author(s)
  Shizuo Nakane
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-16K05213
[Presentation] Fiber Julia sets for maps with super-saddle fixed points2018
- Author(s)
  Shizuo Nakane
- Organizer
  RIMS complex dynamics conference 2018
- Data Source
  KAKENHI-PROJECT-16K05213
[Presentation] On formal normal forms of holomorphic germs at super-saddle fixed points2017
- Author(s)
  中根　静男
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-16K05213
[Presentation] On formal normal forms of holomorphic germs at super-saddle fixed points2017
- Author(s)
  Shizuo Nakane
- Organizer
  Workshop on Complex Dynamics
- Data Source
  KAKENHI-PROJECT-16K05213
[Presentation] An implosion arising from saddle-connection in 2D complex dynamics2016
- Author(s)
  Shizuo Nakane
- Organizer
  Workshop on Holomorphic Dynamics : Geometry of Julia sets in one and more complex variables
- Place of Presentation
  Sominestationen, Holbaek (Denmark)
- Year and Date
  2016-09-29
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05213
[Presentation] Stretching rays for cubic polynomials2016
- Author(s)
  中根静男
- Organizer
  日本数学会
- Place of Presentation
  関西大学 (大阪府吹田市)
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-16K05213
[Presentation] A remark on the normalization of holomorphic germs at super-saddle fixed points2016
- Author(s)
  中根静男
- Organizer
  京都力学系セミナー
- Place of Presentation
  京都大学 (京都府京都市左京区)
- Year and Date
  2016-11-18
- Data Source
  KAKENHI-PROJECT-16K05213
[Presentation] On saddle basic sets for Axiom A polynomial skew products on C^22012
- Author(s)
  Shizuo Nakane
- Organizer
  研究集会「複素力学系の総合的研究」
- Place of Presentation
  京都大学数理解析研究所(招待講演)
- Year and Date
  2012-01-26
- Data Source
  KAKENHI-PROJECT-21540203
[Presentation] On saddle basic sets for Axiom A polynomial skew products on C2. RIMS 研究集会2012
- Author(s)
  Shizuo Nakane
- Organizer
  複素力学系の総合的研究
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-01-26
- Data Source
  KAKENHI-PROJECT-21540203
[Presentation] On saddle basic sets for Axiom A polynomial skew products on C^22012
- Author(s)
  中根静男
- Organizer
  「複素力学系の総合的研究」研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-01-26
- Data Source
  KAKENHI-PROJECT-21540174
[Presentation] Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C^22010
- Author(s)
  Shizuo Nakane
- Organizer
  研究集会「複素力学系とその周辺分野の研究」
- Place of Presentation
  京都大学
- Year and Date
  2010-12-09
- Data Source
  KAKENHI-PROJECT-21540203
[Presentation] Dynamics of Axiom Apolynomial skew products2010
- Author(s)
  Shizuo Nakane
- Organizer
  国際数学者会議
- Place of Presentation
  インド, ハイデラバード
- Year and Date
  2010-08-24
- Data Source
  KAKENHI-PROJECT-21540203
[Presentation] Postcritical sets and saddle basic sets for Axiom A polynomialskew products on C2. RIMS 研究集会2010
- Author(s)
  Shizuo Nakane
- Organizer
  複素力学系とその周辺分野の研究
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-12-09
- Data Source
  KAKENHI-PROJECT-21540203
[Presentation] Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C22010
- Author(s)
  中根静男
- Organizer
  研究集会「複素力学系とその周辺分野の研究」
- Place of Presentation
  京都大学理学部
- Year and Date
  2010-12-09
- Data Source
  KAKENHI-PROJECT-21540174
[Presentation] Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C^22010
- Author(s)
  Shizuo Nakane
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-23
- Data Source
  KAKENHI-PROJECT-21540203
[Presentation] Dynamics of Axiom A polynomial skew products on C22010
- Author(s)
  中根静男
- Organizer
  International Congress of Mathematician
- Place of Presentation
  Hyderabad International Convention Centre (India)
- Year and Date
  2010-08-24
- Data Source
  KAKENHI-PROJECT-21540174
[Presentation] Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C2.2010
- Author(s)
  Shizuo Nakane
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-23
- Data Source
  KAKENHI-PROJECT-21540203
[Presentation] Dynamics of Axiom A polynomial skew products2010
- Author(s)
  Shizuo Nakane
- Organizer
  国際数学者会議2010
- Place of Presentation
  ハイデラバード
- Year and Date
  2010-08-24
- Data Source
  KAKENHI-PROJECT-21540203
[Presentation] Postcritical sets and saddle basic sets for Axiom A polynomial skew products2010
- Author(s)
  中根静男
- Organizer
  日本数学会2010年度秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-23
- Data Source
  KAKENHI-PROJECT-21540174
[Presentation] Component-wise accumulation sets of critical sets for Axiom A polynomial skew products2009
- Author(s)
  中根静男
- Organizer
  研究集会「複素力学系とその関連分野の総合的研究」
- Place of Presentation
  京都大学
- Year and Date
  2009-12-16
- Data Source
  KAKENHI-PROJECT-21540203
[Presentation] Component-wise accumulation sets of critical sets for Axiom A polynomial skew products2009
- Author(s)
  中根静男
- Organizer
  研究集会「Integrated Research on Complex Dynamics and its Related Fields」
- Place of Presentation
  京都大学大学院人間・環境学研究科
- Year and Date
  2009-12-16
- Data Source
  KAKENHI-PROJECT-21540174
[Presentation] 複素力学系とその関連分野の総合的研究 RIMS 研究集会2009
- Author(s)
  Shizuo Nakane
- Organizer
  Component-wise accumu- lation sets for Axiom A polynomial skew products.
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-12-16
- Data Source
  KAKENHI-PROJECT-21540203
[Presentation] An Axiom A polynomial skew product of degree four2008
- Author(s)
  Shizuo Nakane
- Organizer
  日本数学会年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-24
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] Remarks on Axiom A polynomial skew products of higher degrees2008
- Author(s)
  Shizuo Nakane
- Organizer
  16^<th> International Conference on Fin. or Inf. Dim. Complex Anal. and Appl.
- Place of Presentation
  東国大学校(韓国)
- Year and Date
  2008-07-29
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] Axiom A polynomial skew products of higher degrees2008
- Author(s)
  Shizuo Nakane
- Organizer
  RIMS Workshop"New development in the study of Dynamical Systems beyond Uniform-Hyperbolicity."
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-10-02
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] An Axiom A polynomial skew product of degree four2008
- Author(s)
  中根静男
- Organizer
  日本数学会年会
- Place of Presentation
  大阪市立大学
- Year and Date
  2008-03-24
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] Remarks on Axiom A polynomial skew products of higher degrees2008
- Author(s)
  Shizuo Nakane
- Organizer
  16^<th> International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
- Place of Presentation
  韓国, 慶州, 東国大学校
- Year and Date
  2008-07-29
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] Component-wise accumulation sets of critical sets for Axiom A polynomial skew products2008
- Author(s)
  中根静男
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-25
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] On Axiom A polynomial skew products of higher degrees2008
- Author(s)
  Shizuo Nakane
- Organizer
  Workshop "Moduli and invariants in complex analysis and algebraic geometry."
- Place of Presentation
  京都工芸繊維大学
- Year and Date
  2008-11-27
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] Axiom A polynomial skew products of higher degrees2008
- Author(s)
  Shizuo Nakane
- Organizer
  Workshop“New Development in the Study of Dynnam. Sys. Beyond Hyperbolicity"
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-10-02
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] Branner-Hubbard-Lavaurs deformation of parabolic cubic polynomials2007
- Author(s)
  Shizuo Nakane
- Organizer
  15th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
- Place of Presentation
  大阪市立大学
- Year and Date
  2007-07-31
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] Branner-Hubbard-Lavaurs deformation of parabolic cubic polynomials2007
- Author(s)
  Shizuo Nakane
- Organizer
  15^<th> International Congress on Finite or Infinite Dimensional Complex Analysis and Applications
- Place of Presentation
  大阪市立大学
- Year and Date
  2007-07-31
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] Branner-Hubbard-Lavaurs deformation of parabolic cubic polynokmials2006
- Author(s)
  中根静男
- Organizer
  RIMS研究集会"複素力学系とその周辺分野の研究"
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2006-01-25
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] Branner-Hubbard-Lavaurs motion of parabolic cubic polynomials2005
- Author(s)
  Shizuo Nakane
- Organizer
  Workshop"Parabolic Points"in Hangzhou
- Place of Presentation
  中国, 杭州, 浙江大学
- Year and Date
  2005-04-18
- Data Source
  KAKENHI-PROJECT-17540177
[Presentation] Continuity of fiber Julia sets for polynomial skew products on C2
- Author(s)
  中根静男
- Organizer
  2013年度冬の力学系研究集会
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-21540174

1. MAEHARA Kazuhisa (10103160)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. UENO Yoshiaki (60184959)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. KISAKA Masashi (70244671)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. MOROSAWA Shunsuke (50220108)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. SHISHIKURA Mitsuhiro (70192606)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. INOU Hiroyuki (00362434)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. KATO Kazuhisa (20036578)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. TANIGUCHI Masahiko (50108974)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. THOGE Kazuya (30260558)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. ISHIZAKI Katsuya (60202991)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 益本洋

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Nakane Shizuo 中根 静男

中根 静男 ナカネ シズオ

NAKANE Shizuo 中根 静男

Research Projects

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Co-Researchers

Theory of implosion in complex dynamics in dimensions one and higher and its applicationsPrincipal Investigator

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Bidirectional research between complex dynamics of polynomials and transcendental entire functions

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A study on the dynamics of two dimensional polynomial skew productsPrincipal Investigator

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A study on the dynamics of the family of complex cubic polynomialsPrincipal Investigator

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Studies on complex dynamics of transcendental entire functions

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Research on the dynamics of cubic polynomials (on the topological structure of the parameter space)Principal Investigator

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A study of the dynamics of a family of antipolynomialsPrincipal Investigator

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RESEARCH OF ARITHMETIC VARIETIES AND ALGEBRAIC/ANALYTIC STACKS

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Research of algebro-analytic varieties of higher dimension

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高次元代数多様体の研究

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[Journal Article] Fiber Julia sets of polynomial skew products with super-saddle fixed points2021

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[Journal Article] An implosion arising from saddle connection in 2D complex dynamics2019

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[Journal Article] An implosion arising from saddle connection in 2D complex dynamics2018

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Nakane Shizuo 中根静男

中根静男ナカネシズオ

NAKANE Shizuo 中根静男