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

Less

Researcher Number	10164104
Other IDs
External Links
Affiliation (Current)	2023: 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

# of Collaborated Products: 0 results
3. SAISHO Yasumasa (70195973)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. HITSUDA Masuyuki (50024237)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. MISAWA Masashi (40242672)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. TAIZO Sadahiro (00280454)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. SHIROMOTO Keisuke (00343666)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. TAMANO Kenichi (90171892)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. KOMIYA Hidetoshi (90153676)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. KIM Dae hong (50336202)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. YOKOYAMA Takahisa (20240864)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. HIRANO Norimichi (80134815)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. SHIOJI Naoki (50215943)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 高橋渉 (40016142)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 森村英典 (50016010)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. 藤井光昭 (70016343)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. WADA Takeshi (70294139)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. OGAWA Takayoshi (20224107)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. HISHIDA Toshiaki (60257243)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. SAKATA Toshio (20117352)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. TAKADA Yoshikazu (70114098)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. IWASA Manabu (30232648)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. TAKEDA Masayoshi (30179650)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. NII Shunsaku (50282421)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 百武弘登 (70181120)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 福田拓生 (00009599)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 本尾實 (60015469)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 志賀徳造 (60025418)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. 井上淳 (40011613)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

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

Research Projects

Research Products

Co-Researchers

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analysis of almost periodic attractors for nonlinear evolution equationsPrincipal Investigator

Principal Investigator

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