Nakamura Fumihiko 中村文彦

Researcher Number	40825147
Other IDs
Affiliation (Current)	2025: 北見工業大学, 工学部, 准教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 北見工業大学, 工学部, 准教授
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related Except Principal Investigator Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12030:Basic mathematics-related / Basic Section 12040:Applied mathematics and statistics-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator マルコフ作用素 / ランダム力学系 / 物理測度 Except Principal Investigator 力学系 / カオス力学系 / 高周波振動 / エントロピー / てんかん / 非線形時系列解析 / 雑音誘起現象 … More / 情報系分解 / 一般化逆正弦法則 / 確率過程論 / ランダム力学系 Less

Physical measures of random dynamical systems approached from operator theoryPrincipal Investigator
- Principal Investigator
  
  中村文彦
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kitami Institute of Technology
てんかん脳波の非線形時系列解析によるモデル化と発作予測
- Principal Investigator
  
  行木孝夫
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
  Basic Section 12030:Basic mathematics-related
  Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
- Research Institution
  Hokkaido University
Theoretical study of random dynamical systems through the approach of stochastic processes
- Principal Investigator
  
  Yano Kouji
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Osaka University
  Kyoto University

All 2023 2022 2021

All Journal Article Presentation

[Journal Article] Arcsine law for random dynamics with a core2023
- Author(s)
  Nakamura Fumihiko、Nakano Yushi、Toyokawa Hisayoshi、Yano Kouji
- Journal Title
  
  Nonlinearity
  
  Volume: 36 Issue: 3 Pages: 1491-1509
- DOI
  10.1088/1361-6544/acb398
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K21834, KAKENHI-PROJECT-19K14575, KAKENHI-PROJECT-21K20330, KAKENHI-PROJECT-19H01791, KAKENHI-PROJECT-23K20814, KAKENHI-PROJECT-23K25785
[Journal Article] Random invariant densities for Markov operator cocycles and random mean ergodic theorem2023
- Author(s)
  F Nakamura, H Toyokawa
- Journal Title
  
  Stochastics and Dynamics
  
  Volume: －
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K21834
[Journal Article] Lyapunov exponents for random maps2022
- Author(s)
  Nakamura Fumihiko、Nakano Yushi、Toyokawa Hisayoshi
- Journal Title
  
  Discrete & Continuous Dynamical Systems - B
  
  Volume: 0 Issue: 12 Pages: 0-0
- DOI
  10.3934/dcdsb.2022058
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21834, KAKENHI-PROJECT-19K14575
[Journal Article] Markov operator cocycle の漸近的周期性2021
- Author(s)
  Fumihiko Nakamura, Yushi Nakano
- Journal Title
  
  Research on the Theory of Random Dynamical Systems and Fractal Geometry, RIMS Kokyuroku
  
  Volume: 2176
- Open Access
- Data Source
  KAKENHI-PROJECT-19K21834
[Journal Article] Mixing and observation for Markov operator cocycles*2021
- Author(s)
  Nakamura Fumihiko、Nakano Yushi、Toyokawa Hisayoshi
- Journal Title
  
  Nonlinearity
  
  Volume: 35 Issue: 1 Pages: 66-83
- DOI
  10.1088/1361-6544/ac355f
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21834, KAKENHI-PROJECT-19K14575, KAKENHI-PROJECT-21K20330
[Journal Article] Mixing properties for Markov operator cocycles2021
- Author(s)
  Fumihiko Nakamura, Yushi Nakano
- Journal Title
  
  Problems on mathematical science and new development in the theory of dynamical systems, RIMS Kokyuroku
  
  Volume: 2181
- NAID
  120007141811
- Open Access
- Data Source
  KAKENHI-PROJECT-19K21834
[Presentation] Some constrictive properties for Markov operator and physical measures2023
- Author(s)
  Fumihiko Nakamura
- Organizer
  International Workshop on Ergodic Theory, Dynamical Systems, and Climate Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21834
[Presentation] Constrictive properties for Markov operator and finitude of physical measures2023
- Author(s)
  中村文彦
- Organizer
  21世紀の複雑系
- Invited
- Data Source
  KAKENHI-PROJECT-23K25785
[Presentation] Mixing and observation for Markov operator cocycles2022
- Author(s)
  中村文彦
- Organizer
  RIMS共同研究「エルゴード理論の最近の発展」
- Invited
- Data Source
  KAKENHI-PROJECT-19K21834
[Presentation] Random invariant density and mean ergodic theorem2021
- Author(s)
  中村文彦
- Organizer
  RIMS共同研究「ランダム力学系および多価写像力学系理論の総合的研究」
- Invited
- Data Source
  KAKENHI-PROJECT-19K21834
[Presentation] Mean ergodic theorem for linear operator cocycles2021
- Author(s)
  中村文彦
- Organizer
  エルゴード理論とその周辺
- Data Source
  KAKENHI-PROJECT-19K21834

1. Yano Kouji (80467646)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
2. 佐藤譲 (30342794)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 角大輝 (40313324)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 中野雄史 (50778313)

# of Collaborated Projects: 1 results

# of Collaborated Products: 5 results
5. 豊川永喜 (30907762)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
6. 行木孝夫 (40271712)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 津田一郎 (10207384)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 池田昭夫 (90212761)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 松橋眞生 (40456885)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Nakamura Fumihiko 中村 文彦

Research Projects

Research Products

Co-Researchers

Physical measures of random dynamical systems approached from operator theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

てんかん脳波の非線形時系列解析によるモデル化と発作予測

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Theoretical study of random dynamical systems through the approach of stochastic processes

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Arcsine law for random dynamics with a core2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Random invariant densities for Markov operator cocycles and random mean ergodic theorem2023

Author(s)

Journal Title

Data Source

[Journal Article] Lyapunov exponents for random maps2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Markov operator cocycle の漸近的周期性2021

Author(s)

Journal Title

Data Source

[Journal Article] Mixing and observation for Markov operator cocycles*2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Mixing properties for Markov operator cocycles2021

Author(s)

Journal Title

NAID

Data Source

[Presentation] Some constrictive properties for Markov operator and physical measures2023

Author(s)

Organizer

Data Source

[Presentation] Constrictive properties for Markov operator and finitude of physical measures2023

Author(s)

Organizer

Data Source

[Presentation] Mixing and observation for Markov operator cocycles2022

Author(s)

Organizer

Data Source

[Presentation] Random invariant density and mean ergodic theorem2021

Author(s)

Organizer

Data Source

[Presentation] Mean ergodic theorem for linear operator cocycles2021

Author(s)

Organizer

Data Source

Nakamura Fumihiko 中村文彦