Yokoyama Tomoo 横山知郎

Researcher Number	30613179
Other IDs
Affiliation (Current)	2025: 埼玉大学, 理工学研究科, 教授
Affiliation (based on the past Project Information) *help	2023 – 2025: 埼玉大学, 理工学研究科, 教授 2021 – 2022: 岐阜大学, 工学部, 准教授 2018 – 2020: 京都教育大学, 教育学部, 准教授
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related Except Principal Investigator Basic Section 11020:Geometry-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic Section 12040:Applied mathematics and statistics-related
Keywords	Principal Investigator トポロジー / 力学系 / 分割 / 一般位相空間論 / 遷移グラフ / 半順序 / 位相不変量 / 葉層構造 Except Principal Investigator 力学系 / 双曲性 … More / 幾何構造 / 複素構造 / 葉層構造 / 基本解解法 / 自由境界問題 / 逆解析 / 特異点解析 / 複素解析 / 流体方程式 / トポロジー / 微分幾何学 / 流体力学 / 渦力学 / 応用数学 Less

Deepening of a unified framework for treating topological dynamical systems, decomposition theory, and topological data analysisPrincipal Investigator
- Principal Investigator
  
  横山知郎
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Saitama University
Singularity analysis of complex functions for describing complex phenomena
- Principal Investigator
  
  坂上貴之
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Kyoto University
New studies of foliations and dynamical systems, and their applications
- Principal Investigator
  
  足助太郎
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  The University of Tokyo
Complementary study on dynamical systems and foliations using methods of partially ordered set and general topologyPrincipal Investigator
- Principal Investigator
  
  Yokoyama Tomoo
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Saitama University
  Gifu University
  Kyoto University of Education
Vortex dynamics on surfaces exploring new fluid phenomena brought by geometry
- Principal Investigator
  
  SAKAJO TAKASHI
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Kyoto University

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article Presentation Patent

[Journal Article] Dependency of the positive and negative long-time behaviors of flows on surfaces2023
- Author(s)
  Yokoyama Tomoo
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 368 Pages: 376-393
- DOI
  10.1016/j.jde.2023.06.008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03583, KAKENHI-PROJECT-23H00086
[Journal Article] Topological characterizations of recurrence, Poisson stability, and isometric property of flows on surfaces2023
- Author(s)
  Yokoyama Tomoo
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: － Issue: 2 Pages: 951-975
- DOI
  10.1007/s11856-023-2601-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03583, KAKENHI-PROJECT-23K20793
[Journal Article] Topological characterizations of Morse-Smale flows on surfaces and generic non-Morse-Smale flows2022
- Author(s)
  Kibkalo Vladislav、Yokoyama Tomoo
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 42 Issue: 10 Pages: 4787-4787
- DOI
  10.3934/dcds.2022072
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03583
[Journal Article] Flows with time-reversal symmetric limit sets on surfaces2022
- Author(s)
  Yokoyama Tomoo
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 151 Issue: 1 Pages: 161-176
- DOI
  10.1090/proc/16113
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03583
[Journal Article] Refinements of topological invariants of flows2022
- Author(s)
  Yokoyama Tomoo
- Journal Title
  
  Discrete & Continuous Dynamical Systems
  
  Volume: 42 Issue: 5 Pages: 2295-2295
- DOI
  10.3934/dcds.2021191
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03583, KAKENHI-PROJECT-18H01136
[Journal Article] Discrete representations of orbit structures of flows for topological data analysis2022
- Author(s)
  Sakajo Takashi、Yokoyama Tomoo
- Journal Title
  
  Discrete Mathematics, Algorithms and Applications
  
  Volume: 2250143 Issue: 06 Pages: 1-38
- DOI
  10.1142/s1793830922501439
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03583, KAKENHI-PROJECT-23K20793
[Journal Article] Topological bifurcation structure of one-parameter families of C 1 unimodal maps2021
- Author(s)
  Sannami Atsuro、Yokoyama Tomoo
- Journal Title
  
  Nonlinearity
  
  Volume: 34 Issue: 11 Pages: 7991-8016
- DOI
  10.1088/1361-6544/ac2a4c
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03583
[Journal Article] Complete transition diagrams of generic Hamiltonian flows with a few heteroclinic orbits2020
- Author(s)
  Yokoyama Tetsuo、Yokoyama Tomoo
- Journal Title
  
  Discrete Mathematics, Algorithms and Applications
  
  Volume: 13 Issue: 02 Pages: 2150023-2150023
- DOI
  10.1142/s1793830921500233
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K11250, KAKENHI-PROJECT-20K03583, KAKENHI-PROJECT-18H01136
[Journal Article] Existence and non-existence of length averages for foliations2019
- Author(s)
  Nakano Yushi、Yokoyama Tomoo
- Journal Title
  
  Commun. Math. Phys.
  
  Volume: 372 Issue: 2 Pages: 367-383
- DOI
  10.1007/s00220-019-03490-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21834, KAKENHI-PROJECT-19K14575, KAKENHI-PROJECT-18H01136
[Patent] 1.発明の名称：有限型の流れパターンの語表現装置、語表現方法、プログラム、構造物形状の学習方法および構造物設計方法2020
- Inventor(s)
  横山知郎，坂上貴之
- Industrial Property Rights Holder
  横山知郎，坂上貴之
- Industrial Property Rights Type
  特許
- Filing Date
  2020
- Overseas
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Topological Data Analysis for line fields and its relative topics2024
- Author(s)
  Tomoo Yokoyama
- Organizer
  力学系に対する相空間全構造解析と分岐解析の統合による新たなアプローチ
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] On blowups of stagnation points of 2D potential flows2024
- Author(s)
  Tomoo Yokoyama
- Organizer
  Applied and Computational Complex Analysis
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23H00086
[Presentation] Topological study of 2D flows and its application2024
- Author(s)
  Tomoo Yokoyama
- Organizer
  The Grad Conjecture in Fluid Mechanics and Magnetohydrodynamics: Theory and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Generic transitions for flows on surfaces with or without constraints2023
- Author(s)
  Tomoo Yokoyama
- Organizer
  ICIAM 2023 Tokyo Minisymposium Topological data analysis and machine learning
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Dependency of the positive and negative long-time behaviors of flows on surfaces2023
- Author(s)
  Tomoo Yokoyama
- Organizer
  力学系理論の展開と応用
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Existence and Non-existence of Length Averages for Foliations2023
- Author(s)
  Tomoo Yokoyama
- Organizer
  Geometry and Probability 2023
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Irregular behavior in foliations2023
- Author(s)
  Tomoo Yokoyama
- Organizer
  Dynamics of Foliations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23H00086
[Presentation] 曲面上の流れの正方向と負方向の極限の振る舞いの依存性2023
- Author(s)
  Tomoo Yokoyama
- Organizer
  トポロジー火曜セミナー
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] 曲面上の流れの極限集合について2023
- Author(s)
  横山知郎
- Organizer
  埼玉大学幾何セミナー
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] 曲面上の流れの正方向と負方向の極限の振る舞いの依存性2023
- Author(s)
  Tomoo Yokoyama
- Organizer
  岐阜数理科学セミナー, 岐阜大学
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Irregular behavior in foliations2023
- Author(s)
  Tomoo Yokoyama
- Organizer
  Dynamics of Foliations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] 曲面上の流れの正方向と負方向の極限の振る舞いの依存性2023
- Author(s)
  横山知郎
- Organizer
  トポロジー火曜セミナー, 東京大学
- Data Source
  KAKENHI-PROJECT-23H00086
[Presentation] Flows on surfaces and calculations on the related studie2022
- Author(s)
  Tomoo Yokoyama
- Organizer
  トポロジーとコンピュータ 2022, 広島大学
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Cell complex structure of the space of Hamiltonian vector fields on compact surfaces2022
- Author(s)
  Tomoo Yokoyama
- Organizer
  2021年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Topological analysis of dynamical systems and decompositions and its applications2022
- Author(s)
  横山知郎
- Organizer
  岐阜数理科学セミナー
- Data Source
  KAKENHI-PROJECT-23K20793
[Presentation] Existence and Non-existence of Length Averages for Foliations2022
- Author(s)
  Tomoo Yokoyama
- Organizer
  Dynamical Systems Seminars, Centro de Matematica da Universidade do Porto, Portugal
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Flows on surfaces and calculations on the related studies2022
- Author(s)
  横山知郎
- Organizer
  トポロジーとコンピュータ 2022
- Data Source
  KAKENHI-PROJECT-23K20793
[Presentation] Topological invariants for flows on surfaces and metric spaces2022
- Author(s)
  Tomoo Yokoyama
- Organizer
  The 2nd POSTECH MINDS Workshop on Topological Data Analysis and Machine Learning
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01136
[Presentation] Topological invariants for flows on surfaces and metric spaces2022
- Author(s)
  Tomoo Yokoyama
- Organizer
  The 2nd POSTECH MINDS Workshop on Topological Data Analysis and Machine Learning
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Cell complex structure of the space of Hamiltonian vector fields on compact surfaces2022
- Author(s)
  Tomoo Yokoyama
- Organizer
  力学系セミナーとトポロジー金曜セミナーの合同開催, 九州大学
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Topological invariants of 2D and 3D flows and their applications2021
- Author(s)
  Tomoo Yokoyama
- Organizer
  RIMS Workshop, Mathematical methods for the studies of flow, shape, and dynamics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] On codimension-two-like foliations2021
- Author(s)
  Tomoo Yokoyama
- Organizer
  葉層構造論シンポジウム
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Topological characterizations of 2D gradient flows and 2D Morse-Smale flows and their generic inter mediate flows2021
- Author(s)
  Tomoo Yokoyama
- Organizer
  Seminar cathedral on Monday, Moscow State University, Moscow, Russia
- Data Source
  KAKENHI-PROJECT-18H01136
[Presentation] Hamiltonian flows on punctured surfaces2021
- Author(s)
  Tomoo Yokoyama
- Organizer
  2020 年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-18H01136
[Presentation] Topological characterizations of 2D gradient flows and 2D Morse-Smale flows and their generic intermediate flows2021
- Author(s)
  Tomoo Yokoyama
- Organizer
  Seminar cathedral on Monday, Moscow State University, Moscow, Russia
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] A generalizations of Morse graphs of flows and Reeb graph of surface Hamiltonian flows2021
- Author(s)
  Tomoo Yokoyama
- Organizer
  Algebraic Topology: Computation, Methods, and Science(ATMCS) + Applied Algebraic Topology Research Network(AATRN) Talk Series
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Topological flow data analysis2021
- Author(s)
  Tomoo Yokoyama
- Organizer
  セミナーシリーズ「データ科学と計算科学の融合」
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Topological flow data analysis2021
- Author(s)
  Tomoo Yokoyama
- Organizer
  セミナーシリーズ「データ科学と計算科学の融合」
- Data Source
  KAKENHI-PROJECT-18H01136
[Presentation] Topological invariants of 2D and 3D flows and their applications2021
- Author(s)
  Tomoo Yokoyama
- Organizer
  RIMS Workshop, Mathematical methods for the studies of flow, shape, and dynamics
- Data Source
  KAKENHI-PROJECT-18H01136
[Presentation] トポロジカルな流れの解析とその応用について2021
- Author(s)
  Tomoo Yokoyama
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Generalizations of Morse graphs of flows2020
- Author(s)
  Tomoo Yokoyama
- Organizer
  日本応用数理学会 2020年度年会
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] トポロジカルな流れのデータ解析のための位相不変量2020
- Author(s)
  Tomoo Yokoyama
- Organizer
  工学と数学の接点を求めて
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Hamiltonian flows on punctured surfaces2020
- Author(s)
  Tomoo Yokoyama
- Organizer
  2020年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Generalizations of topological invariants of flows and topological reconstructions of flows from their time-one maps2020
- Author(s)
  Tomoo Yokoyama
- Organizer
  京都力学系セミナー
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Refinement of Morse graphs of flows2020
- Author(s)
  Tomoo Yokoyama
- Organizer
  数理科学の諸問題と力学系理論の新展開,
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Topological characterization of gradient flows and Morse-Smale　flows on compact surfaces and their transition graphs2020
- Author(s)
  Tomoo Yokoyama
- Organizer
  2019 年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-18H01136
[Presentation] Topological fluid data analysis: COT representations of surface flows and their implementations2020
- Author(s)
  Tomoo Yokoyama
- Organizer
  Asia Pacific Seminar on Applied Topology and Geometry
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03583
[Presentation] Characterization of finiteness and countability of non-wandering sets of surface flows2019
- Author(s)
  Tomoo Yokoyama
- Organizer
  力学系 -新たな理論と応用に向けて，数理解析研究所
- Data Source
  KAKENHI-PROJECT-18H01136
[Presentation] Decompositions of surfaces flows and their applications2018
- Author(s)
  Tomoo Yokoyama
- Organizer
  International Conference “Integrable Systems and Nonlinear Dynamics”
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01136

1. SAKAJO TAKASHI (10303603)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. 米田剛 (30619086)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 榊原航也 (30807772)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 宮廻裕樹 (40881206)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 小野寺有紹 (70614999)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 奈良高明 (80353423)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 足助太郎 (30294515)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 浅岡正幸 (10314832)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 足立真訓 (30708392)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. YOKOYAMA Tetsuo

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
11. 中野雄史

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Yokoyama Tomoo 横山 知郎

Research Projects

Research Products

Co-Researchers

Deepening of a unified framework for treating topological dynamical systems, decomposition theory, and topological data analysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Singularity analysis of complex functions for describing complex phenomena

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New studies of foliations and dynamical systems, and their applications

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Complementary study on dynamical systems and foliations using methods of partially ordered set and general topologyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Vortex dynamics on surfaces exploring new fluid phenomena brought by geometry

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Dependency of the positive and negative long-time behaviors of flows on surfaces2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Topological characterizations of recurrence, Poisson stability, and isometric property of flows on surfaces2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Topological characterizations of Morse-Smale flows on surfaces and generic non-Morse-Smale flows2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Flows with time-reversal symmetric limit sets on surfaces2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Refinements of topological invariants of flows2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Discrete representations of orbit structures of flows for topological data analysis2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Topological bifurcation structure of one-parameter families of C 1 unimodal maps2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Complete transition diagrams of generic Hamiltonian flows with a few heteroclinic orbits2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence and non-existence of length averages for foliations2019

Author(s)

Journal Title

DOI

Data Source

[Patent] 1.発明の名称：有限型の流れパターンの語表現装置、語表現方法、プログラム、構造物形状の学習方法および構造物設計方法2020

Yokoyama Tomoo 横山知郎