Ozawa Ryunosuke 小澤龍ノ介

Researcher Number	80838110
Other IDs
Affiliation (Current)	2025: 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群), 総合教育学群, 講師
Affiliation (based on the past Project Information) *help	2020 – 2023: 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群), 総合教育学群, 講師 2019: 東北大学, 材料科学高等研究所, 助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related
Keywords	Principal Investigator 最適輸送理論 / リッチ曲率 / グラフ / ラプラシアン / 優リッチ流 / 離散幾何解析 / 熱核 / マルコフ連鎖 / ポアンカレの不等式 / ピラミッド … More / グラフ理論 / 測度の集中 / 有向グラフ / 曲率次元条件 / 測度距離空間 Less

Geometric analysis on graphs with Ricci curvature bounded from belowPrincipal Investigator
- Principal Investigator
  
  小澤龍ノ介
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群)
Curvature-dimension condition and measure concentration on generalized metric measure spacesPrincipal Investigator
- Principal Investigator
  
  Ozawa Ryunosuke
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群)
  Tohoku University

All 2022 2020 2019

All Journal Article Presentation

[Journal Article] Heat flow and concentration of measure on directed graphs with a lower Ricci curvature bound2022
- Author(s)
  R. Ozawa, Y. Sakurai, T. Yamada,
- Journal Title
  
  Potential Analysis
  
  Volume: - Issue: 3 Pages: 955-969
- DOI
  10.1007/s11118-022-09994-9
- Peer Reviewed
- Data Source
  KAKENHI-ORGANIZER-17H06460, KAKENHI-PLANNED-17H06465, KAKENHI-PROJECT-19K14532, KAKENHI-PROJECT-21K13800, KAKENHI-PROJECT-23K12967, KAKENHI-PROJECT-22H04942
[Journal Article] Maximal diameter theorem for directed graphs of positive Ricci curvature2022
- Author(s)
  Ozawa Ryunosuke、Sakurai Yohei、Yamada Taiki
- Journal Title
  
  Communications in Analysis and Geometry
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14532
[Journal Article] Geometric and spectral properties of directed graphs under a lower Ricci curvature bound2020
- Author(s)
  Ozawa Ryunosuke, Sakurai Yohei, Yamada Taiki
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 59 Issue: 4 Pages: 142-177
- DOI
  10.1007/s00526-020-01809-2
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14532, KAKENHI-PROJECT-19K23411, KAKENHI-ORGANIZER-17H06460, KAKENHI-PLANNED-17H06465
[Journal Article] Stabilities of rough curvature dimension condition2020
- Author(s)
  Daisuke Kazukawa, Ryunosuke Ozawa, Norihiko Suzuki
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 72 Issue: 2 Pages: 541-567
- DOI
  10.2969/jmsj/81468146
- NAID
  130007834783
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14532
[Journal Article] Stability of RCD condition under concentration topology2019
- Author(s)
  Ryunosuke Ozawa and Takumi Yokota
- Journal Title
  
  Calc. Var. Partial Differential Equations
  
  Volume: 58 Issue: 4
- DOI
  10.1007/s00526-019-1586-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03298, KAKENHI-PROJECT-19K14532, KAKENHI-PROJECT-19H01786
[Presentation] Lin-Lu-Yau型リッチ曲率が下に有界な有向グラフの幾何解析について2022
- Author(s)
  小澤龍ノ介
- Organizer
  日本数学会2021年度秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14532
[Presentation] リッチ曲率が下に有界な有向グラフの幾何解析的性質2020
- Author(s)
  小澤龍ノ介
- Organizer
  多様体上の微分方程式
- Invited
- Data Source
  KAKENHI-PROJECT-19K14532
[Presentation] リッチ曲率が下に有界な有向グラフの幾何解析的性質2020
- Author(s)
  小澤龍ノ介
- Organizer
  第67回幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K14532
[Presentation] 測度距離空間列の射影極限とピラミッド2020
- Author(s)
  小澤龍ノ介
- Organizer
  リーマン幾何と幾何解析
- Invited
- Data Source
  KAKENHI-PROJECT-19K14532
[Presentation] 球面の測度集中現象と集中位相2020
- Author(s)
  小澤龍ノ介
- Organizer
  Real, Complex and Functional Analysis Seminar 2020
- Invited
- Data Source
  KAKENHI-PROJECT-19K14532
[Presentation] リッチ曲率が下に有界な有向グラフの幾何解析的性質2020
- Author(s)
  小澤龍ノ介
- Organizer
  日本数学会2020年度年会
- Data Source
  KAKENHI-PROJECT-19K14532

1. YOKOTA Takumi

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Ozawa Ryunosuke 小澤 龍ノ介

Research Projects

Research Products

Co-Researchers

Geometric analysis on graphs with Ricci curvature bounded from belowPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Curvature-dimension condition and measure concentration on generalized metric measure spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Heat flow and concentration of measure on directed graphs with a lower Ricci curvature bound2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Maximal diameter theorem for directed graphs of positive Ricci curvature2022

Author(s)

Journal Title

Data Source

[Journal Article] Geometric and spectral properties of directed graphs under a lower Ricci curvature bound2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Stabilities of rough curvature dimension condition2020

Author(s)

Journal Title

DOI

NAID

ISSN

Language

Data Source

[Journal Article] Stability of RCD condition under concentration topology2019

Author(s)

Journal Title

DOI

Data Source

[Presentation] Lin-Lu-Yau型リッチ曲率が下に有界な有向グラフの幾何解析について2022

Author(s)

Organizer

Data Source

[Presentation] リッチ曲率が下に有界な有向グラフの幾何解析的性質2020

Author(s)

Organizer

Data Source

[Presentation] リッチ曲率が下に有界な有向グラフの幾何解析的性質2020

Author(s)

Organizer

Data Source

[Presentation] 測度距離空間列の射影極限とピラミッド2020

Author(s)

Organizer

Data Source

[Presentation] 球面の測度集中現象と集中位相2020

Author(s)

Organizer

Data Source

[Presentation] リッチ曲率が下に有界な有向グラフの幾何解析的性質2020

Author(s)

Organizer

Data Source

Ozawa Ryunosuke 小澤龍ノ介