Shimomura Takashi 下村尚司

Researcher Number	30440770
Other IDs
Affiliation (based on the past Project Information) *help	2020 – 2023: 名古屋経済大学, 経済学部, 教授 2017 – 2018: 名古屋経済大学, 経済学部, 教授 2016: 名古屋経済大学, 経済学部, 准教授
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / Basic analysis
Keywords	Principal Investigator 零次元系 / graph covering / Bratteli-Vershik model / subshift / zero-dimensional system / Bratteli-Vershik system / symbolic dynamics / zero-dimensional systerm / Bratteli-Vershik / basic set … More / Bratteli-Vershikizable / 力学系 / Bratteli diagram / C*環 / AF環 / symbolic system / dynamical system / topological chaos / residually scrambled set / Li-Yorke chaos / graph covering method / substitution subshift / residually scrambled / topological rank / minimal Less

Research Projects
(2 results)
Research Products
(20 results)

A new development of the Bratteli-Vershik representationsPrincipal Investigator
- Principal Investigator
  
  Shimomura Takashi
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Nagoya Keizai University
Combinatorics study of zero-dimensional systems - beyond Bratteli-Vershik systemsPrincipal Investigator
- Principal Investigator
  
  Shimomura Takashi
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya Keizai University

All 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] Bratteli-Vershik models and graph covering models2020
- Author(s)
  Takashi Shimomura
- Journal Title
  
  Advances in Mathematics
  
  Volume: 367 Pages: 107127-107127
- DOI
  10.1016/j.aim.2020.107127
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03643
[Journal Article] A simple approach to minimal substitution subshifts2019
- Author(s)
  Takashi Shimomura
- Journal Title
  
  Topology and its Applications
  
  Volume: 260 Pages: 203-214
- DOI
  10.1016/j.topol.2019.04.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05185
[Journal Article] Rank 2 proximal Cantor systems are residually scrambled2018
- Author(s)
  Takashi Shimomura
- Journal Title
  
  Dynamical Systems
  
  Volume: 33 Issue: 2 Pages: 275-302
- DOI
  10.1080/14689367.2017.1360251
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05185
[Journal Article] Finite-rank Bratteli-Vershik homeomorphisms are expansive2017
- Author(s)
  Takashi Shimomura
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K05185
[Journal Article] Topological rank does not increase by natural extension of Cantor minimals2017
- Author(s)
  Takashi Shimomura
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 印刷中
- NAID
  130006334238
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-16K05185
[Journal Article] Combinatorial embedding of chain transitive zero-dimensional systems into chaos2016
- Author(s)
  Takashi Shimomura
- Journal Title
  
  Topology and its Applications
  
  Volume: 204 Pages: 230-239
- DOI
  10.1016/j.topol.2016.03.014
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05185
[Journal Article] Zero-dimensional almost 1-1extensions of odometers from graph coverings2016
- Author(s)
  Takashi Shimomura
- Journal Title
  
  Topology and its Applications
  
  Volume: 209 Pages: 63-90
- DOI
  10.1016/j.topol.2016.05.018
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05185
[Presentation] Some properties of basic sets2022
- Author(s)
  下村　尚司
- Organizer
  2021年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-20K03643
[Presentation] Bratteli-Vershik models from quasi-sections2021
- Author(s)
  下村尚司
- Organizer
  2020年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-20K03643
[Presentation] Bratteli-Vershik models for zero-dimensional systems2021
- Author(s)
  下村　尚司
- Organizer
  RIMS研究集会「力学系理論の最近の進展とその応用」 2021年6月24日
- Data Source
  KAKENHI-PROJECT-20K03643
[Presentation] Bratteli-Vershik model from basic set2021
- Author(s)
  下村尚司
- Organizer
  2021年度日本数学会年会
- Data Source
  KAKENHI-PROJECT-20K03643
[Presentation] Bratteli-Vershik model from basic set2021
- Author(s)
  下村　尚司
- Organizer
  2021年度日本数学会年会 2021年4月17日
- Data Source
  KAKENHI-PROJECT-20K03643
[Presentation] On a one-to-one correspondence between ordered Bratteli diagrams and basic sets2021
- Author(s)
  下村　尚司
- Organizer
  2021年度エルゴード理論とその周辺 2021年11月18日
- Data Source
  KAKENHI-PROJECT-20K03643
[Presentation] Applications of the Bratteli-Vershik model for zero-dimensional homeomorphisms2018
- Author(s)
  下村　尚司
- Organizer
  日本数学会2018年度秋季総合分科会（於　岡山大学）
- Data Source
  KAKENHI-PROJECT-16K05185
[Presentation] Characterization of substitution map for minimal substitution subshifts2018
- Author(s)
  下村　尚司
- Organizer
  日本数学会2018年度秋季総合分科会（於　岡山大学）
- Data Source
  KAKENHI-PROJECT-16K05185
[Presentation] Bratteli-Vershik 表現と basic sets2018
- Author(s)
  下村　尚司
- Organizer
  エルゴード理論とその周辺（於　大阪大学）
- Data Source
  KAKENHI-PROJECT-16K05185
[Presentation] Topological rank does not increase by natural extension of Cantor minimals2017
- Author(s)
  Takashi Shimomura
- Organizer
  日本数学会2017年度秋季総合分科会（於　山形大学）
- Data Source
  KAKENHI-PROJECT-16K05185
[Presentation] Proximal Cantor systems with topological rank 2 are residually scrambled2017
- Author(s)
  Takashi Shimomura
- Organizer
  日本数学会2017年度秋季総合分科会（於　山形大学）
- Data Source
  KAKENHI-PROJECT-16K05185
[Presentation] 零次元同相写像のBratteli--Vershik表現2016
- Author(s)
  下村　尚司
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  関西大学
- Data Source
  KAKENHI-PROJECT-16K05185
[Presentation] 周期点を持つ有限ランク Bratteli-Vershik系の拡大性2016
- Author(s)
  下村　尚司
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  関西大学
- Data Source
  KAKENHI-PROJECT-16K05185

Shimomura Takashi 下村 尚司

Research Projects

Research Products

A new development of the Bratteli-Vershik representationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Combinatorics study of zero-dimensional systems - beyond Bratteli-Vershik systemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Bratteli-Vershik models and graph covering models2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A simple approach to minimal substitution subshifts2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Rank 2 proximal Cantor systems are residually scrambled2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Finite-rank Bratteli-Vershik homeomorphisms are expansive2017

Author(s)

Journal Title

Data Source

[Journal Article] Topological rank does not increase by natural extension of Cantor minimals2017

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Combinatorial embedding of chain transitive zero-dimensional systems into chaos2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Zero-dimensional almost 1-1extensions of odometers from graph coverings2016

Author(s)

Journal Title

DOI

Data Source

[Presentation] Some properties of basic sets2022

Author(s)

Organizer

Data Source

[Presentation] Bratteli-Vershik models from quasi-sections2021

Author(s)

Organizer

Data Source

[Presentation] Bratteli-Vershik models for zero-dimensional systems2021

Author(s)

Organizer

Data Source

[Presentation] Bratteli-Vershik model from basic set2021

Author(s)

Organizer

Data Source

[Presentation] Bratteli-Vershik model from basic set2021

Author(s)

Organizer

Data Source

[Presentation] On a one-to-one correspondence between ordered Bratteli diagrams and basic sets2021

Author(s)

Organizer

Data Source

[Presentation] Applications of the Bratteli-Vershik model for zero-dimensional homeomorphisms2018

Author(s)

Organizer

Data Source

[Presentation] Characterization of substitution map for minimal substitution subshifts2018

Author(s)

Organizer

Shimomura Takashi 下村尚司