watanabe sennosuke 渡邉扇之介

… Alternative Names

渡邉扇之介ワタナベセンノスケ

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Researcher Number	80735316
Other IDs
Affiliation (Current)	2025: 福知山公立大学, 情報学部, 准教授
Affiliation (based on the past Project Information) *help	2020 – 2023: 福知山公立大学, 情報学部, 准教授 2019: 小山工業高等専門学校, 一般科, 講師
Review Section/Research Field	Principal Investigator Basic Section 12040:Applied mathematics and statistics-related Except Principal Investigator Basic Section 12040:Applied mathematics and statistics-related
Keywords	Principal Investigator 有向グラフ / 超離散系 / 固有ベクトル / 交通流モデル / セルオートマトン / 相関付きランダムウォーク / 直交性 / 固有値 / 量子ウォーク / Max-plus代数 … More Except Principal Investigator … More 保存量 / セルオートマトン / 超離散化 / 交通流モデル / max-plus代数 / 離散力学系 / ベクトル値セルオートマトン / ファジーセルオートマトン / 双方向流 / 人流 / 2階2値3近傍セルオートマトン / ダイナミクス / 多項式表現 / ファジー化 / CAの時間的空間的な周期性 / 完全1次保存ファジーCA / メタ安定分岐現象 / 2値4近傍CA / 時間的空間的周期性 / 対称群作用 / 加重平均型3値3近傍ファジーCA / 上三角化 / 優対角行列 / 代数的固有ベクトル / 交代法 / 加重平均型3状態3近傍ファジーCA / アルゴリズム / 可積分系 / max-plusウォーク / 量子ウォーク / ネットワーク / トロピカル代数 / 最短経路問題 / Min-plus代数 / Max-plus代数 / 超離散バーガース方程式 / 超離散ハングリーロトカ・ボルテラ系 / 超離散ハングリー戸田方程式 / Kaczmarz法 / ダイクストラ法 / 相関付きランダムウォーク / 離散ハングリー戸田方程式 / グラフ理論 / 箱玉系 / 固有値 / min-plus代数 / 超離散可積分系 Less

Analysis of discrete dynamical systems described by max-plus equations and their applications
- Principal Investigator
  
  福田亜希子
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Shibaura Institute of Technology
3状態3近傍CAのファジー化とダイナミックス
- Principal Investigator
  
  渡邊芳英
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Doshisha University
Construction of quantum walk model in Max-plus algebra and its applicationPrincipal Investigator
- Principal Investigator
  
  渡邉扇之介
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  The University of Fukuchiyama
Development of linear solvers on max-plus algebra and its applications
- Principal Investigator
  
  Fukuda Akiko
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Shibaura Institute of Technology

All 2024 2023 2022 2021 2020 2019

All Journal Article Presentation Book

[Book] max-plus代数とその応用2022
- Author(s)
  Bernd Heidergott、Geert Jan Olsder、Jacob van der Woude、五島洋行、福田亜希子、渡邉扇之介
- Total Pages
  280
- Publisher
  森北出版
- ISBN
  9784627062016
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] Triangulation of diagonally dominant min-plus matrices2024
- Author(s)
  Nishida Yuki、Watanabe Sennosuke、Watanabe Yoshihide
- Journal Title
  
  Discrete Event Dynamic Systems
  
  Volume: - Issue: 2 Pages: 297-332
- DOI
  10.1007/s10626-024-00397-z
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13964, KAKENHI-PROJECT-21K03359
[Journal Article] On max-plus two-sided linear systems whose solution sets are min-plus linear2024
- Author(s)
  Ooga Yasutaka、Nishida Yuki、Watanabe Yoshihide
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 694 Pages: 283-306
- DOI
  10.1016/j.laa.2024.04.014
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03359
[Journal Article] Independence and orthogonality of algebraic eigenvectors over the max-plus algebra2024
- Author(s)
  Nishida Yuki、Watanabe Sennosuke、Watanabe Yoshihide
- Journal Title
  
  Linear and Multilinear Algebra
  
  Volume: Online Issue: 1 Pages: 1-19
- DOI
  10.1080/03081087.2024.2316781
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14367, KAKENHI-PROJECT-22K13964, KAKENHI-PROJECT-21K03359
[Journal Article] Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk2023
- Author(s)
  Fukuda Akiko、Segawa Etsuo、Watanabe Sennosuke
- Journal Title
  
  Journal of Difference Equations and Applications
  
  Volume: 29 Issue: 1 Pages: 84-101
- DOI
  10.1080/10236198.2023.2172969
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03616, KAKENHI-PROJECT-19K03624, KAKENHI-PROJECT-20K14367
[Journal Article] Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra2023
- Author(s)
  Kan Masafumi、Fukuda Akiko、Watanabe Sennosuke
- Journal Title
  
  Journal of Difference Equations and Applications
  
  Volume: 30 Issue: 2 Pages: 233-251
- DOI
  10.1080/10236198.2023.2277714
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] Convergence of Vector-Valued Fuzzy Cellular Automata with Weighted-Averaging Rules2023
- Author(s)
  Nishida Yuki、Yamasaki Koki、Watanabe Sennosuke、Fukuda Akiko、Watanabe Yoshihide
- Journal Title
  
  Lecture Notes in Computer Science
  
  Volume: 14152 Pages: 48-59
- DOI
  10.1007/978-3-031-42250-8_4
- ISBN
  9783031422492, 9783031422508
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13964, KAKENHI-PROJECT-21K03359, KAKENHI-PROJECT-23K03238
[Journal Article] Traffic flow models with two kinds of vehicles in terms of the vector-valued cellular automata and their fuzzification2022
- Author(s)
  Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda, Yoshihide Watanabe
- Journal Title
  
  AIP Conference Proceedings
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] Fuzzy cellular automata with complete number-conserving rule as traffic-flow models with bottleneck2022
- Author(s)
  Nishida Yuki、Watanabe Sennosuke、Fukuda Akiko、Yanagisawa Daichi
- Journal Title
  
  JSIAM Letters
  
  Volume: 14 Issue: 0 Pages: 143-146
- DOI
  10.14495/jsiaml.14.143
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03624, KAKENHI-PROJECT-23K21019
[Journal Article] Chracterization of tropical projective quadratic plane curves in terrms of the eigenvalue problem2022
- Author(s)
  Yuki NIshida, Akira Yamada and Yoshihide Watanabe
- Journal Title
  
  Linear Algebra and Its Applications
  
  Volume: 644 Pages: 172-191
- DOI
  10.1016/j.laa.2022.03.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03359
[Journal Article] Traffic flow models with two kinds of vehicles in terms of the vector-valued cellular automata and their fuzzification2022
- Author(s)
  Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda and Yoshihide Watanabe
- Journal Title
  
  AIP Conference Proceedings
  
  Volume: 2641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03359
[Journal Article] Limit theorem of the max-plus walk2021
- Author(s)
  Watanabe Sennosuke, Fukuda Akiko, Segawa Etsuo, Sato Iwao
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B87 Pages: 125-133
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14367
[Journal Article] Limit theorem of the max-plus walk2021
- Author(s)
  Sennosuke Watanabe, Akiko Fukuda, Etsuo Segawa, Iwao Sato
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] 相関付きランダムウォークから導かれる連続・離散・超離散方程式2021
- Author(s)
  福田亜希子, 渡邉扇之介, 瀬川悦生
- Journal Title
  
  津田塾大学数学・計算機科学研究所所報
  
  Volume: 42
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] Maximum and optimal 1-2 matching problem of the different kind2021
- Author(s)
  Yuki Nishida, Sennosuke Watanabe and Yoshiihde Watanabe
- Journal Title
  
  Journal of Discrete Mathematical Sciences and Criptography
  
  Volume: 24 Pages: 245-261
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03359
[Journal Article] On the vectors associated with the roots of max-plus characteristic polynomials2020
- Author(s)
  Yuki, Nishida, Sennosuke Watanabe, Yoshihide Watanabe
- Journal Title
  
  Applications of Mathematics
  
  Volume: 65 Issue: 6 Pages: 785-805
- DOI
  10.21136/am.2020.0374-19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] A characterization of bases of tropical kernels in terms of Cramer's rule2020
- Author(s)
  Yuki, Nishida, Sennosuke Watanabe, Yoshihide Watanabe
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 601 Pages: 301-310
- DOI
  10.1016/j.laa.2020.05.018
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] A walk on max-plus algebra2020
- Author(s)
  Watanabe Sennosuke、Fukuda Akiko、Segawa Etsuo、Sato Iwao
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 598 Pages: 29-48
- DOI
  10.1016/j.laa.2020.03.025
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03616, KAKENHI-PROJECT-19K03624, KAKENHI-PROJECT-20K14367
[Journal Article] Ultradiscrete Lotka-Volterra system computes tropical eigenvalue of symmetric tridiagonal matrices2019
- Author(s)
  Fukuda Akiko、Watanabe Sennosuke、Hanaoka Ayumi、Iwasaki Masashi
- Journal Title
  
  Journal of Physics: Conference Series
  
  Volume: 1218 Issue: 1 Pages: 012015-012015
- DOI
  10.1088/1742-6596/1218/1/012015
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 粒子数保存する2階2値3近傍セルオートマトンの多項式表現2024
- Author(s)
  渡邉扇之介, 福田亜希子, 西田優樹, 松木平淳太
- Organizer
  日本応用数理学会第20回研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-23K03238
[Presentation] Ultradiscrete Burgers Cellular Automata derived through the Correlated Random Walk2023
- Author(s)
  渡邉扇之介，福田亜希子，瀬川悦生
- Organizer
  第1回福知山数理・データサイエンス研究会
- Data Source
  KAKENHI-PROJECT-20K14367
[Presentation] Analysis of traffic flow models by triangulation of min-plus matrices2023
- Author(s)
  Yuki Nishida, Sennosuke Watanabe, Yoshihide Watanabe
- Organizer
  10th International Congress on Industrial and Applied Mathematics (ICIAM2023)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14367
[Presentation] 加法的保存量をもつ2階2値3近傍セルオートマトンについて2023
- Author(s)
  福田亜希子, 渡邉扇之介, 西田優樹, 松木平淳太
- Organizer
  研究集会「非線形波動から可積分系へ2023」, 富山県立大学射水キャンパス
- Data Source
  KAKENHI-PROJECT-23K03238
[Presentation] Max-plus代数上の量子ウォークモデル2023
- Author(s)
  渡邉扇之介
- Organizer
  大阪組合せ論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14367
[Presentation] 優対角なmin-plus 行列の上三角化のその交通流モデルへの応用2022
- Author(s)
  西田優樹，渡邉扇之介，渡邊芳英
- Organizer
  日本応用数理学会2022年度年会（北海道大学）
- Data Source
  KAKENHI-PROJECT-21K03359
[Presentation] 超離散ハングリーロトカ・ボルテラ系と超離散ハングリー戸田方程式を用いたmin-plus代数上の固有値計算2022
- Author(s)
  齋藤元気, 福田亜希子, 渡邉扇之介
- Organizer
  第20回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 優対角min-plus 行列の固有値問題に基づく上三角化とその交通流への応用2022
- Author(s)
  西田優樹，渡邉扇之介，渡邊芳英
- Organizer
  研究集会「非線形波動から可積分系へ2022」(久留米工業大学)
- Data Source
  KAKENHI-PROJECT-21K03359
[Presentation] 超離散ハングリーロトカ・ボルテラ系と超離散ハングリー戸田方程式を用いたmin-plus代数上の固有値計算2022
- Author(s)
  齋藤元気, 福田亜希子, 渡邉扇之介
- Organizer
  日本応用数理学会2022年度年会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 加重平均型3値3近傍ファジーCAの収束性と数え上げ2021
- Author(s)
  山﨑功樹，西田優樹，渡邉扇之介，福田亜希子，渡邊芳英
- Organizer
  日本応用数理学会2021年度年会正会員OS「Max-Pl;us 代数とその応用」
- Data Source
  KAKENHI-PROJECT-21K03359
[Presentation] 完全1次保存する非自明な3値3近傍ファジーCAの収束性2021
- Author(s)
  西田優樹，山﨑功貴，渡邉扇之介，福田亜希子，渡邊芳英
- Organizer
  日本応用数理学会2020年度研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-21K03359
[Presentation] Max-plus対称行列の代数的固有ベクトルの直交性2021
- Author(s)
  西田優樹，渡邉扇之介，渡邊芳英
- Organizer
  日本応用数理学会2021年度年会
- Data Source
  KAKENHI-PROJECT-20K14367
[Presentation] Traffic flow models with two kinds of vehicles in terms of vector-valued cellular automata and their fuzzification2021
- Author(s)
  Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda and Yoshihide Watanabe
- Organizer
  International Conference on Mathematics: Pure, Applied, and Computation(ICoMPAC) 2021
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03359
[Presentation] 相関付きランダムウォークから導かれる超離散バーガースセルオートマトン2021
- Author(s)
  渡邉扇之介, 福田亜希子, 瀬川悦生
- Organizer
  日本応用数理学会第17回研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] セルオートマトンのベクトル表現を用いた多種の車が混在する交通流モデルの解析2021
- Author(s)
  西田優樹，渡邉扇之介，渡邊芳英
- Organizer
  情報処理学会大20回科学技術フォーラム('FIT2021)
- Data Source
  KAKENHI-PROJECT-21K03359
[Presentation] 超離散ハングリーロトカ・ボルテラ系を用いたmax-plus代数上の帯行列の固有値計算2021
- Author(s)
  齋藤元気, 福田亜希子, 渡邉扇之介
- Organizer
  第19回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 量子ウォークのmax-plus類似と極限定理2021
- Author(s)
  渡邉扇之介
- Organizer
  スペクトラルグラフ理論および周辺領域第10回研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14367
[Presentation] Traffic flow models with two kinds of vehicles in terms of the vector-valued cellular automata and their fuzzification2021
- Author(s)
  Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda, Yoshihide Watanabe
- Organizer
  International Conference on Mathematics: Pure, Applied and Computation
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 相関付きランダムウォークから導かれる連続・離散・超離散方程式2020
- Author(s)
  福田亜希子, 瀬川悦生, 渡邉扇之介
- Organizer
  津田塾大学数学計算機科学研究所オンライン研究集会非線形波動から可積分系へ
- Invited
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 量子ウォークのmax-plus類似とその性質2019
- Author(s)
  渡邉扇之介, 福田亜希子, 瀬川悦生, 佐藤巌
- Organizer
  令和元年度九大応力研共同利用研究集会非線形波動研究の多様性
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] Max-plusウォーク～超離散版量子ウォークの構築～2019
- Author(s)
  渡邉扇之介, 福田亜希子, 瀬川悦生, 佐藤巌
- Organizer
  RIMS共同研究（公開型）可積分系数理の深化と展開
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 量子ウォークのmax-plus類似とその極限分布2019
- Author(s)
  渡邉扇之介, 福田亜希子, 瀬川悦生, 佐藤巌
- Organizer
  第17回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] Computation of min-plus eigenvalues via ultradiscrete integrable systems2019
- Author(s)
  Akiko Fukuda, Sennosuke Watanabe, Masafumi Kan
- Organizer
  International Conference on Matrix Analysis and its Applications (MATTRIAD 2019)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 量子ウォーク・相関付きランダムウォーク・超離散化2019
- Author(s)
  瀬川悦生, 福田亜希子, 渡邉扇之介
- Organizer
  第17回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 超離散量子ウォークの保存量と定常状態2019
- Author(s)
  渡邉扇之介, 福田亜希子, 瀬川悦生, 佐藤巌
- Organizer
  日本応用数理学会 2019年度年会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 超離散ハングリー戸田方程式によるmin-plus代数上の固有値計算2019
- Author(s)
  菅雅文, 福田亜希子, 渡邉扇之介
- Organizer
  第17回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] A min-plus analogue of the qd algorithm and its generalization2019
- Author(s)
  Akiko Fukuda, Sennosuke Watanabe, Masafumi Kan
- Organizer
  The 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 超離散ハングリー戸田方程式によるmin-plus代数上の固有値計算2019
- Author(s)
  菅雅文, 福田亜希子, 渡邉扇之介
- Organizer
  令和元年度九大応力研共同利用研究集会非線形波動研究の多様性
- Data Source
  KAKENHI-PROJECT-19K03624

1. Fukuda Akiko (70609297)

# of Collaborated Projects: 2 results

# of Collaborated Products: 23 results
2. 渡邊芳英 (50127742)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 西田優樹 (70906601)

# of Collaborated Projects: 1 results

# of Collaborated Products: 12 results
4. 瀬川悦生

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results
5. 渡辺芳英

# of Collaborated Projects: 0 results

# of Collaborated Products: 10 results

watanabe sennosuke 渡邉 扇之介

渡邉 扇之介 ワタナベ センノスケ

Research Projects

Research Products

Co-Researchers

Analysis of discrete dynamical systems described by max-plus equations and their applications

Principal Investigator

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Research Institution

3状態3近傍CAのファジー化とダイナミックス

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Construction of quantum walk model in Max-plus algebra and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

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Research Institution

Development of linear solvers on max-plus algebra and its applications

Principal Investigator

Project Period (FY)

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[Book] max-plus代数とその応用2022

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Total Pages

Publisher

ISBN

Data Source

[Journal Article] Triangulation of diagonally dominant min-plus matrices2024

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[Journal Article] On max-plus two-sided linear systems whose solution sets are min-plus linear2024

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Data Source

[Journal Article] Independence and orthogonality of algebraic eigenvectors over the max-plus algebra2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk2023

Author(s)

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watanabe sennosuke 渡邉扇之介

渡邉扇之介ワタナベセンノスケ