NAITO KOICHIRO 内藤幸一郎

… Alternative Names

NAITO Koichiro 内藤幸一郎

内藤幸一郎ナイトウコウイチロウ

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Researcher Number	10164104
Other IDs
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Affiliation (Current)	2025: 熊本大学, 大学院先端科学研究部(工), 名誉教授
Affiliation (based on the past Project Information) *help	2017 – 2018: 熊本大学, 大学院先端科学研究部(工), 名誉教授 2016: 熊本大学, 工学部, 名誉教授 2012 – 2015: 熊本大学, 自然科学研究科, 教授 2009 – 2011: Kumamoto University, 大学院・自然科学研究科, 教授 2009: 熊本大学, 工学部, 教授 … More 2007: Kumamoto University, Graduate School of Natural Sciences, Professor 2006 – 2007: 熊本大学, 自然科学研究科, 教授 1996 – 2007: 熊本大学, 工学部, 教授 2006: 熊本大学, 大学院自然科学研究科, 教授 1995: 熊本大学, 工学部, 助教授 1993: 熊本大学, 工学部, 助教授 1987 – 1988: 東京工業大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis / Foundations of mathematics/Applied mathematics / 解析学 Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / 解析学 / Basic analysis
Keywords	Principal Investigator ディオファンタス近似 / フラクタル次元 / Diophantine approximation / 非線形偏微分方程式 / 準周期性 / self-similarity / fractal dimension / attractor / カオス / 自己相似性 … More / ディオファンタス条件 / 再帰性 / chaos / KAM theorem / quasi periodicity / nonlinear PDE / KAM定理 / アトラクタ / 準周期的軌道 / 偏微分方程式 / almost periodicity / nonlinear evolution equation / p-進数論 / 耐量子暗号理論 / 符号理論 / 擬似乱数生成器 / Ramanujanグラフ / expander グラフ / 記号力学系理論 / 耐量子計算機暗号 / 格子暗号理論 / tiling / correlation dimension / quasi-periodicity / 相姦次元 / 準同期性 / 概同期性 / 自己相似 / タイリング / 相関次元 / 概周期性 / Fractal dimension / アトラクター / 概周期 / 非線形発展方程式 / 関数解析 / 連分数展開 / 力学系 / 暗号理論 / 格子理論 / P-進数論 / デイオファンタス近似 / 関数方程式 … More Except Principal Investigator Dirichlet forms / ディリクレ形式 / 再帰性 / sign changing solution / homology / ディリクレー形式 / elliptic problem / 時空拡散過程 / Recurrence / エルゴード定理 / Dirichlet condition / Lotoka-Volterra / 非線形楕円型方程式 / 解の多重性 / 変分法 / 反射壁マルコフ過程 / 保存性 / 時空マルコフ過程 / Simulated annealing / Hitting probability / Space-time domain / Time inhomogeneous diffusion processes / ポアンカレ型不等式 / 過渡性 / 焼き鈍し / 到達確率 / 時空領域 / 時間的に一様でない拡散過程 / Dirichelt condition / Lotaka-Volterra / subharmonic / ディクレ問題 / 非線形楕円方程式 / ハミルトニアンシステム / ホモロジー理論 / nonlinear elliptic equation / degree / van del Pol / homorogy / Loloka-Volterra / Optimal stopping problem / Skorohod representation / Local time / Reflecting processes / Space-time diffusion processes / 最適停止 / 反射壁拡散過程 / 時間依存ディリクレ形式 / 最適停止問題 / Skorohod表現 / 局所時間 / 反射壁過程 / inadmissibility / asymptotic efficiency / Bayes sequential estimation / LINEX loss function / 非許容性 / 漸近有効性 / ベイズ逐次推定 / LINEX損失関数 / recurrence / Markov chains / Ergodic theorem / マルコフ連鎖 / Ergodic theory / conservativeness / Space-time process / ARIMAモデル / エルゴード理論 / 汎函数微分方程式 / NLKG方程式 / ランダムウォーク / 相互作用のある多粒子系 / 測度値拡散過程 / 無限次元マルコフ過程 / 非線形変分不等式 / min-max定理 / 不動点定理 / 凸計画 / 非線形発展方程式 / 非線形エルゴード定理 / 非線形作用素 / 非線形函数解析学 / elleptic problem / homoclinic solution / 非線形微分方程式 / 解のプロファイル / 位相的アプローチ / カオス / Mosco metric / Conservativeness / Dirichlet form Less

Construction of post quantum cryptography systems by p-adic analysisPrincipal Investigator
- Principal Investigator
  
  Naito Koichiro
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kumamoto University
Complexity structure analysis on the orbits of solutions of nonlinear partial differential equations by p-adic analysisPrincipal Investigator
- Principal Investigator
  
  NAITO Koichiro
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kumamoto University
Complexity analysis on orbits of solutions of nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  NAITO Koichiro
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kumamoto University
Multiplcitiy and Dynamics of solutions of nonlinear differential equations
- Principal Investigator
  
  HIRANO Norimichi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yokohama National University
Research on diffusion processes moving singularly on space-time domains
- Principal Investigator
  
  OSHIMA Yoichi
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kumamoto University
Analysis on the fractal structure of complexity solutions for nonlinear differential equationsPrincipal Investigator
- Principal Investigator
  
  NAITO Koichiro
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kumamoto University
Analysis on the fractal structure of quasi periodic orbits for nonlinear evolution equationsPrincipal Investigator
- Principal Investigator
  
  NAITO Koichiro
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KUMAMOTO UNIVERSITY
Multiplicity and dynamics of solutions of nonlinear differential equations
- Principal Investigator
  
  HIRANO Norimichi
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yokohama National University
Analysis on the structure of quasi periodic attractors for nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  NAITO Koichiro
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KUMAMOTO UNIVERSITY
ON THE DIFFUSION PROCESSES ON MOVING DOMAINS
- Principal Investigator
  
  OSHIMA Yoichi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kumamoto University
Theory of Bayes interence and its applications
- Principal Investigator
  
  TAKADA Yoshikazu
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kumamoto University
Certain limit theorem and its applications of time inhomogeneous Markov processes
- Principal Investigator
  
  OSHIMA Yoichi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KUMAMOTO UNIVERSITY
Analysis of dimensional and recursive properties for almost periodic solutions of nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  NAITO Koichiro
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KUMAMOTO UNIVERSITY
Analysis of almost periodic attractors for nonlinear evolution equationsPrincipal Investigator
- Principal Investigator
  
  NAITO Koichiro
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  KUMAMOTO UNIVERSITY
On the recurrence and its applications of time inhomogeneous Markov processes
- Principal Investigator
  
  OSHIMA Yoichi
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KUMAMOTO UNIVERSITY
時間的に一様でない反射壁拡散過程の研究
- Principal Investigator
  
  大島洋一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kumamoto University
特異な拡散過程に対応する距離の研究
- Principal Investigator
  
  OSHIMA Yoichi
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kumamoto University
無限次元マルコフ過程の研究
- Principal Investigator
  
  志賀徳造
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
非線形解析学とその周辺の研究
- Principal Investigator
  
  高橋渉
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology

[Journal Article] Pseudorandom number generator by p-adic chaos and Ramanujan expander graphs2020
- Author(s)
  Koichiro Naito
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Randomness of p-adic discrete dynamical systems and its applications to cryptosystems2019
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc. 10th International Conference on Nonlinear Anal. Convex Anal. 2017
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Unpredictability of quasi-periodic dynamical systems with multiple frequencies of a p-adic extremal number and its square2018
- Author(s)
  Shoichi Kamada and Koichiro Naito
- Journal Title
  
  Journal of Nonlinear and Convex Analysis
  
  Volume: 18 Pages: 1349-1359
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Shortest vector problems of p-adic random lattices and their application to a p-adic knapsack type cryptosystem2018
- Author(s)
  Shoichi Kamada, Koichiro Naito
- Journal Title
  
  Journal of Nonlinear and Convex Analysis: Proceedings of the fifth Asian Conference on Nonlinear Analysis and Optimization
  
  Volume: 19 Pages: 15991608-15991608
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Simultaneous approximation problems and knapsack cryptosystems with commitment schemes in p-adic numberlands2018
- Author(s)
  Shoichi Kamada, Koichiro Naito
- Journal Title
  
  Journal of Nonlinear and Convex Analysis: Proceedings of the fifth Asian Conference on Nonlinear Analysis and Optimization
  
  Volume: 19 Pages: 15871597-15871597
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Randomness of p-adic discrete dynamical systems and its applications to cryptosystems2018
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc. the 10th Anniversary Conference on Nonlinear Analysis and Convex Analysis
  
  Volume: ー
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Unpredictability of quasi-periodic dynamical systems with multiple frequencies of a p-adic extremal number2017
- Author(s)
  Shoichi Kamada and Koichiro Naito
- Journal Title
  
  J. Nonlinear and Convex Analysis
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] The shortest vector problems in p-adic lattices and simultaneous approximation problems of p-adic numbers2017
- Author(s)
  Hirohito Inoue and Koichiro Naito
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 3 Pages: 213-224
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Simultaneous approximations of p-adic numbers and their applications to cryptography2017
- Author(s)
  Hirohito Inoue, Shoichi Kamada and Koichiro Naito
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 3 Pages: 225-238
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Simultaneous approximation problems and knapsack cryptosystems with commitment schemes in p-adic numberlands2017
- Author(s)
  Shoichi Kamada and Koichiro Naito
- Journal Title
  
  Proceedings of NAO-Asia2016
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Shortest vector problems of p-adic random lattices2017
- Author(s)
  Shoichi Kamada and Koichiro Naito
- Journal Title
  
  Proceedings of NAO-Asia2016
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Transference principle on simultaneous approximation problems of p-adic numbers and multidimensional p-adic approximation lattices2017
- Author(s)
  Hirohito Inoue, Shoichi Kamada and Koichiro Naito
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 3 Pages: 239-249
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] The shortest vector problems in p-adic lattices and simultaneous approximation problems of p-adic numbers2016
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Journal Title
  
  Proc. of ICM Satellite Conf. 2014: the 4th Asian Conf. on Nonlinear Anal. and Optim.
  
  Volume: 4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Simultaneous Approximation Problems of p-Adic Numbers and p-Adic Knapsack Cryptosystems - Alice in p-Adic Numberland -2016
- Author(s)
  Hirohito Inoue, Shoichi Kamada and Koichiro Naito
- Journal Title
  
  P-Adic Numbers, Ultrametric Analysis, and Applications
  
  Volume: 8 Issue: 4 Pages: 312-324
- DOI
  10.1134/s207004661604004x
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Transference principle on simultaneous approximation problems of p-adic numbers and multidimensional p-adic approximation lattices2016
- Author(s)
  Hirohito Inoue, Shoichi Kamada, Koichiro Naito
- Journal Title
  
  Proc. of ICM Satellite Conf. 2014: the 4th Asian Conf. on Nonlinear Anal. and Optim.
  
  Volume: 4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Transference principle on simultaneous approximation problems of p-adic numbers and construction of lattice based cryptosystems2016
- Author(s)
  Hirohito Inoue, Shoichi Kamada and Koichiro Naito
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 2011 Pages: 57-63
- Open Access
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Simultaneous approximations of p-adic numbers and their applications to cryptography2016
- Author(s)
  Hirohito Inoue, Shoichi Kamada, Koichiro Naito
- Journal Title
  
  Proc. of ICM Satellite Conf. 2014: the 4th Asian Conf. on Nonlinear Anal. and Optim.
  
  Volume: 4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Entropy and recurrent dimensions of discrete dynamical systems given by p-adic expansions2015
- Author(s)
  H. Inoue, K. Naito
- Journal Title
  
  p-Adic Numbers, Ultrametric Analysis and Applications
  
  Volume: 7 Pages: 147-157
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Lattice reduction algorithms and their cryptographic applications2015
- Author(s)
  Hirohito Inoue, Koichiro Naito, Yuma Yamada
- Journal Title
  
  Proc. of the 8th International Conf. on Nonlinear Anal. and Convex Anal.
  
  Volume: 8 Pages: 167-176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Simultaneous approximations of p-adic numbers and their applications to cryptography2015
- Author(s)
  Hirohito Inoue, Shoichi Kamada, Koichiro Naito
- Journal Title
  
  The proceedings of The Fourth Asian Conference on Nonlinear Analysis and Optimization.
  
  Volume: 4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Simultaneous rational approximations of a p-adic number and its powers by p-adic approximation lattices2015
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Journal Title
  
  Proc. of the 8th International Conf. on Nonlinear Anal. and Convex Anal.
  
  Volume: 8 Pages: 155-166
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] The shortest vector problems in p-adic approximation lattices and their applications to cryptography2015
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Journal Title
  
  京都大学数理解析研究所講究録 1963 「非線形解析学と凸解析学の研究」
  
  Volume: 1963 Pages: 16-23
- Data Source
  KAKENHI-PROJECT-15K04978
[Journal Article] Lattice reduction algorithms and their cryptographic applications2015
- Author(s)
  Hirohito Inoue, Koichiro Naito, Yuma Yamada
- Journal Title
  
  Proceedings of the 8th International Conference on Nonlinear Analysis and Convex Analysis
  
  Volume: 8 Pages: 167-176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Entropy and recurrent dimensions of discrete dynamical systems given by p-adic expansions2015
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Journal Title
  
  P-Adic Numbers, Ultrametric Analysis, and Applications
  
  Volume: 7 Issue: 2 Pages: 157-167
- DOI
  10.1134/s2070046615020077
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04978, KAKENHI-PROJECT-15J00347
[Journal Article] Transference principle on simultaneous approximation problems of p-adic numbers and multidimensional p-adic approximation lattices2015
- Author(s)
  Hirohito Inoue, Shoichi Kamada, Koichiro Naito
- Journal Title
  
  The proceedings of The Fourth Asian Conference on Nonlinear Analysis and Optimization.
  
  Volume: 4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Simultaneous rational approximations of a p-adic number and its powers by p-adic approximation lattices2015
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Journal Title
  
  Proceedings of the 8th International Conference on Nonlinear Analysis and Convex Analysis
  
  Volume: 8 Pages: 155-166
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Simultaneous rational approximations of p-adic numbers by the LLL lattice basis reduction algorithm2014
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1923 Pages: 163-171
- Open Access
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Recurrent properties of quasi-periodic dynamical systems with multiple frequencies of p-adic Liouville numbers2014
- Author(s)
  H. Inoue, K. Naito
- Journal Title
  
  p-Adic Numbers, Ultrametric Analysis and Applications
  
  Volume: 6 Issue: 3 Pages: 195-206
- DOI
  10.1134/s2070046614030030
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Recurrent properties of quasi-periodic dynamical systems with multiple frequencies of p-adic Liouville numbers2014
- Author(s)
  Hirohito Inoue and Koichiro Naito
- Journal Title
  
  P-Adic Numbers, Ultrametric Analysis, and Applications
  
  Volume: 6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Simultaneous rational approximations of a p-adic number and its powers by p-adic approximation lattices2014
- Author(s)
  Hirohito Inoue and Koichiro Naito
- Journal Title
  
  Proceedings of the 8th international conference on NACA 2013
  
  Volume: 8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Lattice reduction algorithms and their cryptographic applications2014
- Author(s)
  Hirohito Inoue, Koichiro Naito and Yuma Yamada
- Journal Title
  
  Proceedings of the 8th international conference on NACA 2013
  
  Volume: 8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Unpredictability of quasi-periodic dynamical systems with multiple frequencies of a p-adic extremal number and its square2013
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proceeding of the 3rd Asian Conference on Nonlinear Analysis and Optimization
  
  Volume: vol. 3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Spectral analysis of p-adic fractional differential operators and p-adic Schrodinger type operators2013
- Author(s)
  Tatsuya Murakami, Koichiro Naito
- Journal Title
  
  Proceeding of the 3rd Asian Conference on Nonlinear Analysis and Optimization
  
  Volume: vol.3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Predictability and unpredictability of quasi-periodic dynamical systems2013
- Author(s)
  Koichiro Naito
- Journal Title
  
  京都大学数理解析研究所講究録1821「非線形解析学と凸解析学の研究」
  
  Volume: 1821 Pages: 33-39
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] p-adic continued fractons and a p-adic behavior of quasi-periodic dynamical systems2013
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Journal Title
  
  Proceeding of the 3rd Asian Conference on Nonlinear Analysis and Optimization
  
  Volume: vol.3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Unpredictability of quasi-periodic dynamical systems with frequency of p-adic Liouville type numbers2013
- Author(s)
  Hirohito Inoue and Koichiro Naito
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 1841 Pages: 8-16
- Data Source
  KAKENHI-PROJECT-24540180
[Journal Article] Predictability and unpredictability of quasi-periodic dynamical systems2012
- Author(s)
  Koichiro Naito
- Journal Title
  
  京都大学数理解析研究所講究録
- Data Source
  KAKENHI-PROJECT-21540191
[Journal Article] Recurrency and unpredictability of quasi-periodic orbits estimated by simultaneous Diophantine approximations2011
- Author(s)
  Koichiro Naito
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1755 Pages: 103-109
- Data Source
  KAKENHI-PROJECT-21540191
[Journal Article] Recunency and unpredictability of quasi-periodic orbits estunated by simultaneous Diophantine approximations2011
- Author(s)
  Koichiro Naito
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: (掲載確定)
- Data Source
  KAKENHI-PROJECT-21540191
[Journal Article] Recurrency and un-predictability of quasi-periodic orbits estimated by simultaneous Diophantine approximations2011
- Author(s)
  Koichiro Naito
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1755 Pages: 103-109
- Data Source
  KAKENHI-PROJECT-21540191
[Journal Article] Entropy and recur-rent dimensions of discrete orbits given by almost periodic sequences2010
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc. of 6th International Conference on Nonlinear Analysis and Convex Analysis
  
  Volume: 6 Pages: 205-221
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540191
[Journal Article] Entropy and recurrent dimensions of discrete orbits given by almost periodic sequences2010
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc.of 6^<th> International Conference on Nonlinear Analysis and Convex Analysis
  
  Volume: Vol.6 Pages: 205-221
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540191
[Journal Article] Entropy and recur-rent dimensions of discrete dynamical systems given by the Gauss map2009
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc. of the Asian Conference on Nonlinear Analysis and Optimizations
  
  Volume: 1 Pages: 227-239
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540191
[Journal Article] Entropy and recurrent dimensions of discrete dynamical systems given by the Gauss map2009
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc.of the Asian Conference on Nonlinear Analysis and Optimizations Vol.1
  
  Pages: 227-239
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540191
[Journal Article] Recurrent dimensions and extended common multiples of quasi-periodic orbits given by solutions of second order nonlinear evolution equations2008
- Author(s)
  Koichiro Naito
- Journal Title
  
  To appear in Taiwanese Journal of Mathematics
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamicalsystems given by circle mappings2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc.of the 4th Int.National Conf.on Nonlinear Analysis and Convex Analysis(Okinawa 2005)
  
  Pages: 427-437
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings2007
- Author(s)
  Koichiro, Naito
- Journal Title
  
  Proc. Of the 4th Int. National Conf. on NTonlinear Analysis and Convex Analysis
  
  Pages: 427-437
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings2007
- Author(s)
  Koichiro, Naito
- Journal Title
  
  J. Nonlinear Convex Analysis 8
  
  Pages: 105-120
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Spectral properties of discrete Schroedinger operator with quasi-periodically recurrent potential2007
- Author(s)
  Koichiro, Naito
- Journal Title
  
  Differential Equations and Applications Vol.4
  
  Pages: 79-92
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  J.Nonlinear and Convex Analysis 8
  
  Pages: 105-120
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Recurrent dimensions of quasi-periodic attractors for second order evolution equations2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc. of the 4th Int. National Conf. on Nonlinear Analysis and Convex Analysis (Okinawa 2005)
  
  Pages: 427-437
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings II2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  Yokohama Math.J. 54
  
  Pages: 13-30
- NAID
  120001740841
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Spectral properties of discrete Schrodinger operator with quasi-periodically recurrent potential2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  Differential Equations and Applications 4
  
  Pages: 79-92
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings II2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  Yokohama Math.J. 54
  
  Pages: 13-30
- NAID
  120001740841
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Spectral properties of discrete schrodinger operator with quasi-periodically recurrent potential2007
- Author(s)
  Koichiro, Naito
- Journal Title
  
  Diff. Eq 4
  
  Pages: 79-92
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings II2007
- Author(s)
  Koichiro Naito, Yoshihisa Nakamura
- Journal Title
  
  in Yokohama Math.J. (To appear)
- NAID
  120001740841
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Recurrent dimensions of quasi-periodic attractors for second order evolution equations2007
- Author(s)
  Koichiro, Naito
- Journal Title
  
  J. Nonlinear Analysis and Convex Analysys
  
  Pages: 105-120
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings2007
- Author(s)
  Koichiro Naito, Yoshihisa Nakamura
- Journal Title
  
  I.Nonlinear and Convex Analysis Vol.8 No.1
  
  Pages: 105-120
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings II2007
- Author(s)
  Koichiro, Naito
- Journal Title
  
  Yokohama Math. J. Vol.54
  
  Pages: 13-30
- NAID
  120001740841
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Spectral properties of discrete Schroedinger operator with quasi-periodically recurrent potential2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  Differential Equations and Applications 4
  
  Pages: 79-92
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions of quasi-periodic attractors for second order evolution equations2007
- Author(s)
  Koichiro, Naito
- Journal Title
  
  Proc. 4th Int. National Conf on Nonlinear Anal. Convex Anal
  
  Pages: 427-437
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Spectral properties of discrete Schrodinger operator with quasi-periodically recurrent potential2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  in Differential Equations and Applications (To appear)
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Recurrent dimensions of quasi-periodic attractors for second order evolution equations2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc. of the 4th Int. National Conf. on Nonlinear Analysis and Convex Analysis
  
  Pages: 427-437
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings II2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  Yokohama Math.J 54
  
  Pages: 13-30
- NAID
  120001740841
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings II2007
- Author(s)
  Koichiro, Naito
- Journal Title
  
  Yokohama Math. J. 54
  
  Pages: 13-30
- NAID
  120001740841
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Spectral properties of discrete Schroedinger operator with quasi-periodically recurrent potential2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  Differential Equations and Applications
  
  Pages: 79-92
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions of quasi-periodic attractors for second order evolution equations2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  J.Nonlinear Analysis and Convex Analysis 8
  
  Pages: 105-120
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings II2007
- Author(s)
  Koichiro Naito
- Journal Title
  
  Yokohama Math.J 54
  
  Pages: 13-30
- NAID
  120001740841
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions of quasi-periodic attractors for second order evolution equations2006
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc. Of the 4th Int. National Conf. On Nonlinear Analysis and Convex Analysis 2005 (To appear in)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Spectral properties of discrete schrodinger operator with quasi-periodically recurrent potential2006
- Author(s)
  Koichiro Naito
- Journal Title
  
  To appear in Differential Equations and Applications (To appear)
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Recurrent dimensions of quasi-periodic attractors for second order evolution equations2006
- Author(s)
  Koichiro Naito
- Journal Title
  
  To appear in Proc. of the 4th Int. National Conf. on Nonlinear Analysis and Convex Analysis 2005 (To appear)
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Spectral properties of discrete schrodinger operator with quasi-periodically recurrent potential2006
- Author(s)
  Koichiro Naito
- Journal Title
  
  Differential Equations and Applications (To appear in)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings2005
- Author(s)
  Koichiro Naito
- Journal Title
  
  京都大学数理解析研究所講究録 1415
  
  Pages: 38-46
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Recurrent Dimensions of Quasi-Periodic Solutions for Nonlinear Evolution Equations II : Gaps of Dimensions and Diophantine Conditions2004
- Author(s)
  Koichiro Naito
- Journal Title
  
  Disc.Conti.Dyn.Sys. 11
  
  Pages: 449-488
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Recurrent dimensions of quasi-periodic orbits with multiple frequencies : Extended common multiples and Diophantine conditions2004
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc.of Int.National Conf.on Nonlinear and Convex Analysis 2003
  
  Pages: 367-380
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Recurrent dimensions of quasi-periodic solutions for nonlinear evolution equations II : Gaps of dimensions and Diophantine conditions2004
- Author(s)
  Koichiro Naito
- Journal Title
  
  Discrete and Continuous Dynamical Systems 11
  
  Pages: 449-488
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Recurrent dimensions of quasi-periodic solutions for nonlinear evolution equations II : Gaps of dimensions and Diophantine conditions2004
- Author(s)
  Koichiro Naito
- Journal Title
  
  Discrete and Continuous Dynamical Systems 11・2-3
  
  Pages: 449-488
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Classifications of Irrational Numbers and Recurrent Dimensions of Quasi-Periodic Orbits2004
- Author(s)
  Koichiro Naito
- Journal Title
  
  J.Nonlinear Convex Analysis 5
  
  Pages: 169-185
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Classifications of irrational numbers and recurrent dimensions of quasi-periodic orbits2004
- Author(s)
  Koichiro Naito
- Journal Title
  
  J.Nonlinear and Convex Analysis 5
  
  Pages: 169-185
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Recurrent dimensions of quasi-periodic attractors for second order evolution equations
- Author(s)
  Koichiro Naito
- Journal Title
  
  Proc.NACA2005 (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Recurrent dimensions and extended common multiples of quasi-periodic Orbits given by solutions of second order nonlinear evolution equations
- Author(s)
  Koichiro, Naito
- Journal Title
  
  Taiwanese Journal of Mathematics (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Spectral properties of discrete schrodinger operator with quasi-periodically recurrent potential
- Author(s)
  Koichiro Naito
- Journal Title
  
  Diff.Eq.Appl. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540164
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings
- Author(s)
  Koichiro Naito, Yoshihisa Nakamura
- Journal Title
  
  J.Nonlinear Analysis and Convex Analysis (To appear)
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions and extehded common multiples of quasi-periodic Orbits given by solutions of second order nonlinear evolution equations
- Author(s)
  Koichiro Naito
- Journal Title
  
  Taiwanese Journal of Mathematics (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540131
[Journal Article] Recurrent dimensions and extended common multiples of quasi-periodic orbits given by solutions of second order nonlinear evolution equations
- Author(s)
  Koichiro, Naito
- Journal Title
  
  to appear(J.Math)(in Taiwan)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540187
[Journal Article] Recurrent dimensions and Diophantine conditions of discrete dynamical systems given by circle mappings II
- Author(s)
  Koichiro Naito, Yoshihisa Nakamura
- Journal Title
  
  Yokohama Math.J. (To appear)
- NAID
  120001740841
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation] Pseudorandom number generator by p-adic chaos and Ramanujan expander graphs2018
- Author(s)
  Koichiro Naito
- Organizer
  The 6th Asian Conference on Nonlinear Analysis and Optimization
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Unpredictability and randomness of p-adic symbolic dynamical systems2017
- Author(s)
  Koichiro Naito
- Organizer
  The 10th Anniversary Conference on Nonlinear Analysis and Convex Analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Randomness of p-adic discrete dynamical systems and its applications to cryptosystem2017
- Author(s)
  Koichiro Naito
- Organizer
  The 10th Anniversary Conference on Nonlinear Analysis and Convex Analysis
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Compact knapsack problems and p-adic lattices2017
- Author(s)
  Shoichi Kamada and Koichiro Naito
- Organizer
  Workshop「数論とエルゴード理論2017」
- Place of Presentation
  金沢大学サテライト・プラザ
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Simultaneous approximation problems of p-adic numbers and their application to lattice based cryptosystems2016
- Author(s)
  Shoichi Kamada, Hirohito Inoue, Koichiro Naito
- Organizer
  日本数学会九州支部会
- Place of Presentation
  九州大学
- Year and Date
  2016-02-13
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Shortest vector problems on the random p-adic lattices given by powers of a p-adic number and their applications to p-adic knapsack type cryptosystem2016
- Author(s)
  Shoichi Kamada and Koichiro Naito
- Organizer
  The 6th Asian Conf. on Nonlinear Analysis and Optimization 2016
- Place of Presentation
  Toki Messe, Niigata
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Multi-dimensional p-adic approximation lattices and their applications to knapsack cryptosystems2016
- Author(s)
  Shoichi Kamada, Hirohito Inoue, Koichiro Naito
- Organizer
  Workshop「数論とエルゴード理論2016」
- Place of Presentation
  金沢大学サテライト・プラザ
- Year and Date
  2016-02-06
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Simultaneous approximation problems and knapsack cryptosystems with commitment schemes in p-adic numberlands2016
- Author(s)
  Shoichi Kamada and Koichiro Naito
- Organizer
  The 6th Asian Conf. on Nonlinear Analysis and Optimization 2016
- Place of Presentation
  Toki Messe, Niigata
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Construction of lattice based cryptosystems by simultaneous approximation problems in p-adic numberlands2016
- Author(s)
  Shoichi Kamada and Koichiro Naito
- Organizer
  International Workshop on Nonlinear Analysis and Convex Analysis
- Place of Presentation
  京都大学数理解析研究所
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Complexity and recurrency of p-adic dynamical systems and its application2016
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Organizer
  日本数学会九州支部会
- Place of Presentation
  九州大学
- Year and Date
  2016-02-13
- Invited
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Simultaneous approximation problems and knapsack cryptosystems in p-adic numberlands2016
- Author(s)
  Hirohito Inoue, Shoichi Kamada, Koichiro Naito and Keisuke Shiromoto
- Organizer
  Numeration 2016
- Place of Presentation
  Czech Technical University, Prague
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] 多次元p進近似格子と暗号理論への応用2015
- Author(s)
  井上裕仁、内藤幸一郎
- Organizer
  ２０１５年暗号と情報セキュリティシンポジウム
- Place of Presentation
  リーガロイヤルホテル小倉, 北九州
- Year and Date
  2015-01-22
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Transference principle on simultaneous approximation problems of p-adic numbers and construction of lattice based cryptosystems2015
- Author(s)
  Shoichi Kamada, Hirohito Inoue, Koichiro Naito
- Organizer
  International Workshop on Nonlinear Analysis and Convex Analysis
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-09-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04978
[Presentation] Entropy and recurrent dimensions of discrete quasi-periodic dynamical systems given by p-adic expansions2014
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Organizer
  ICM Satellite Conference 2014: The Fourth Asian Conference on Nonlinear Analysis and Optimization
- Place of Presentation
  Taiwan Normal University, Taipei, Taiwan
- Year and Date
  2014-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Inhomogeneous simultaneous approximations of p-adic numbers and their applications to cryptography2014
- Author(s)
  Hirohito Inoue, Shoichi Kamada, Koichiro Naito
- Organizer
  ICM Satellite Conference 2014: The Fourth Asian Conference on Nonlinear Analysis and Optimization
- Place of Presentation
  Taiwan Normal University, Taipei, Taiwan
- Year and Date
  2014-08-08
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Transference Principle of Simultaneous approximation problems and LLL algorithm of multidimensional p-adic approximation lattices2014
- Author(s)
  Hirohito Inoue, Shoichi Kamada, Koichiro Naito
- Organizer
  ICM Satellite Conference 2014: The Fourth Asian Conference on Nonlinear Analysis and Optimization
- Place of Presentation
  Taiwan Normal University, Taipei, Taiwan
- Year and Date
  2014-08-08
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Simultaneous approximation problems of p-adic numbers and their applications to cryptography2014
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Organizer
  京都大学数理解析研究所共同研究研究集会「準結晶の数学的モデルとその周辺」
- Place of Presentation
  京都大学数理解析研究所、京都
- Year and Date
  2014-10-29
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Shortest vector problems in p-adic lattices and simultaneous approximation problems of p-adic numbers2014
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Organizer
  ICM Satellite Conference 2014: The Fourth Asian Conference on Nonlinear Analysis and Optimization
- Place of Presentation
  Taiwan Normal University, Taipei, Taiwan
- Year and Date
  2014-08-08
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] The shortest vector problems in p-adic approximation lattices and their applications to cryptography2014
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Organizer
  The International Workshop on Nonlinear Analysis and Convex Analysis
- Place of Presentation
  Kyoto University, Kyouto
- Year and Date
  2014-08-19
- Invited
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Reduction algorithms for p-adic approximation lattices and their cryptographic applications2013
- Author(s)
  Hirohito Inoue, Koichiro Naito and Yuma Yamada
- Organizer
  The 8th international conference on NACA 2013
- Place of Presentation
  Hirosaki University, Hirosaki
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Simultaneous rational approximations of a p-adic number and its powers by p-adic approximation lattices2013
- Author(s)
  Hirohito Inoue and Koichiro Naito
- Organizer
  The 8th international conference on NACA 2013
- Place of Presentation
  Hirosaki University, Hirosaki
- Invited
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Simultaneous rational approximations of p-adic numbers by the LLL lattice basis reduction algorithm2013
- Author(s)
  Hirohito Inoue and Koichiro Naito
- Organizer
  京都大学数理解析研究所研究集会「非線形解析学と凸解析学の研究」
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Simultaneous rational approximations to p-adic numbers and the theory of lattices2013
- Author(s)
  Koichiro Naito
- Organizer
  The 8th international conference on NACA 2013
- Place of Presentation
  Hirosaki University, Hirosaki
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Unpredictability of quasi-periodic dynamical systems with frequency of p-adic Liouville type numbers2012
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Organizer
  京都大学数理解析研究所研究集会「非線形解析学と凸解析学の研究」
- Place of Presentation
  京都、京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Spectral analysis of P-adic fractional differential operators and p-adic Schrodinger type operators2012
- Author(s)
  Tatsuya Murakami, Koichiro Naito
- Organizer
  Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2012)
- Place of Presentation
  Matue, Kunibiki Messe
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Introduction to p-adic analysis2012
- Author(s)
  Koichiro Naito
- Organizer
  Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2012)
- Place of Presentation
  Matue, Kunibiki Messe
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] p-adic continued fractons and a p-adic behavior of quasi-periodic dynamical systems2012
- Author(s)
  Hirohito Inoue, Koichiro Naito
- Organizer
  Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2012)
- Place of Presentation
  Matue, Kunibiki Messe
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Unpredictability of quasi-periodic dynamical systems with multiple frequencies of a p-adic extremal number and its square2012
- Author(s)
  Koichiro Naito
- Organizer
  Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2012)
- Place of Presentation
  Matue, Kunibiki Messe
- Invited
- Data Source
  KAKENHI-PROJECT-24540180
[Presentation] Predictability and Unpredictability of quasi-periodic dy-namical systems2011
- Author(s)
  Koichiro Naito
- Organizer
  京都大学数理解析研究所共同研究集会「非線形解析学と凸解析学の研究」
- Place of Presentation
  京都大学(京都)
- Year and Date
  2011-08-29
- Data Source
  KAKENHI-PROJECT-21540191
[Presentation] Quasi-periodicity and recurrency of discrete orbits given by simultaneous continued fractions2010
- Author(s)
  Koichiro Naito
- Organizer
  京都大学数理解析研究所共同研究集会「非線形解析学と凸解析学の研究」
- Place of Presentation
  京都大学(京都)
- Year and Date
  2010-08-31
- Data Source
  KAKENHI-PROJECT-21540191
[Presentation] Entropy and recurrent dimensions of discrete dynamical systems given by the Gauss map2008
- Author(s)
  内藤幸一郎
- Organizer
  日本数学会九州支部会
- Place of Presentation
  琉球大学
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation] Entropy and recurrent dimensions of discrete dynamical systems given by the Gauss map2008
- Author(s)
  Kouichiro Naito
- Organizer
  二本数学会九州支部会
- Place of Presentation
  琉球大学
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation] Entropy and recurrent dimensions of discrete dynamical systems given by the Gauss map2008
- Author(s)
  Koichiro, Naito
- Organizer
  Kyushu meeting of Mathematical Society of Japan
- Place of Presentation
  Ryukyu Univ.
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation] Entropy and recurrent dimensions of discrete dynamical systems given by the Gauss map2008
- Author(s)
  内藤幸一郎
- Organizer
  日本数学会九州市支部会
- Place of Presentation
  琉球大学
- Year and Date
  2008-02-02
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540187
[Presentation] Chaotic properties of discrete orbits given by the Gauss map2007
- Author(s)
  Kouichiro Naito
- Organizer
  非線形解析学と凸解析学の研究
- Place of Presentation
  京都大学数理研
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation] Quasi periodic properties of discrete orbits given By circle mappings and the Gauss map2007
- Author(s)
  Koichiro, Naito
- Organizer
  Tiling-Mathematical Science of Quasi Periodicity
- Place of Presentation
  Keio Univ.
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation]2007
- Author(s)
  Kouichiro Naito
- Organizer
  準周期構造のスペクトル解析と関連する話題
- Place of Presentation
  京都大学数理研
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation] Chaotic properties of discrete orbits given by the Gauss map2007
- Author(s)
  Koichiro, Naito
- Organizer
  Research on non-linear analysis andconvex analysis
- Place of Presentation
  RIMS of Kyoto Univ.
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation] Entropy and recurrent dimensions of discrete dynamical systems given by the Gauss map2007
- Author(s)
  Koichiro, Naito
- Organizer
  Spectral Analysis and Related Topics on Quasi-periodic Structure
- Place of Presentation
  RIMS of Kvoto Univ.
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation] Quasi periodic properties of discrete orbits given by circle mappings And Gauss map2007
- Author(s)
  内藤幸一郎
- Organizer
  タイリング-準周期性の数理
- Place of Presentation
  慶応大学
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation] Chaotic properties of discrete orbits given by the Gauss map2007
- Author(s)
  内藤幸一郎
- Organizer
  非線形解析学と凸解析学の研究
- Place of Presentation
  京都大学数理解析研究所
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540131
[Presentation] Entropy and recurrent dimensions of discrete dynamical systems given by the Gauss map2007
- Author(s)
  内藤幸一郎
- Organizer
  準周期構造のスペクトル解析と関連する話題
- Place of Presentation
  京都大学数理解析研究所
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540131

1. OSHIMA Yoichi (20040404)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
2. KADOTA Noriya (80185884)

# of Collaborated Projects: 8 results

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3. SAISHO Yasumasa (70195973)

# of Collaborated Projects: 6 results

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4. HITSUDA Masuyuki (50024237)

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5. MISAWA Masashi (40242672)

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6. TAIZO Sadahiro (00280454)

# of Collaborated Projects: 3 results

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7. SHIROMOTO Keisuke (00343666)

# of Collaborated Projects: 3 results

# of Collaborated Products: 1 results
8. YOKOI Yoshitaka (50040481)

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9. TAMANO Kenichi (90171892)

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10. KOMIYA Hidetoshi (90153676)

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11. KIM Dae hong (50336202)

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12. YOKOYAMA Takahisa (20240864)

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13. HIRANO Norimichi (80134815)

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14. SHIOJI Naoki (50215943)

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15. 高橋渉 (40016142)

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16. 森村英典 (50016010)

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17. 藤井光昭 (70016343)

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18. WADA Takeshi (70294139)

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19. OGAWA Takayoshi (20224107)

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20. HISHIDA Toshiaki (60257243)

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21. SAKATA Toshio (20117352)

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22. TAKADA Yoshikazu (70114098)

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23. IWASA Manabu (30232648)

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24. TAKEDA Masayoshi (30179650)

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25. NII Shunsaku (50282421)

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26. 百武弘登 (70181120)

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27. 福田拓生 (00009599)

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28. 本尾實 (60015469)

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29. 志賀徳造 (60025418)

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30. 井上淳 (40011613)

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NAITO KOICHIRO 内藤 幸一郎

NAITO Koichiro 内藤 幸一郎

内藤 幸一郎 ナイトウ コウイチロウ

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Construction of post quantum cryptography systems by p-adic analysisPrincipal Investigator

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Complexity structure analysis on the orbits of solutions of nonlinear partial differential equations by p-adic analysisPrincipal Investigator

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Complexity analysis on orbits of solutions of nonlinear partial differential equationsPrincipal Investigator

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Analysis on the fractal structure of complexity solutions for nonlinear differential equationsPrincipal Investigator

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Analysis on the fractal structure of quasi periodic orbits for nonlinear evolution equationsPrincipal Investigator

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Analysis on the structure of quasi periodic attractors for nonlinear partial differential equationsPrincipal Investigator

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Analysis of dimensional and recursive properties for almost periodic solutions of nonlinear partial differential equationsPrincipal Investigator

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Analysis of almost periodic attractors for nonlinear evolution equationsPrincipal Investigator

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NAITO KOICHIRO 内藤幸一郎

NAITO Koichiro 内藤幸一郎

内藤幸一郎ナイトウコウイチロウ