Tanaka Ryokichi 田中亮吉

… Alternative Names

TANAKA Ryokichi 田中亮吉

Less

Researcher Number	80629759
Other IDs
Affiliation (Current)	2023: 京都大学, 理学研究科, 准教授 2023: 京都大学, 国際高等教育院, 准教授
Affiliation (based on the past Project Information) *help	2021 – 2022: 京都大学, 理学研究科, 准教授 2016 – 2021: 東北大学, 理学研究科, 助教 2015: 東北大学, 理学(系)研究科(研究院), 助教 2012 – 2014: 東北大学, 原子分子材料科学高等研究機構, 助教
Review Section/Research Field	Principal Investigator Geometry / Global analysis / Basic Section 11020:Geometry-related Except Principal Investigator Basic Section 12010:Basic analysis-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator ランダムウォーク / 離散群 / 調和関数 / 離散群論 / グラフ / 双曲群 / 大域解析学 / 離散幾何解析学 / 等周定数 / スケール極限 … More / 調和測度 / 従順群 / Poisson境界 / 語双曲群 / Liouville性 / Gromov双曲群 / ランダムDirichlet級数 / 混合時間 / 流体力学的極限 / スピン系 / グロモフ双曲群 / 幾何学 / 確率論 / 双曲曲面 / 擬等長 / 剛性問題 / 測地流 / ハウスドルフ次元 / ポアソン境界 … More Except Principal Investigator フラクタル上のポテンシャル論 / フラクタル上の確率過程 / フラクタル上の確率熱方程式 / Liouville Brown運動 / 測度のマルチフラクタル解析 / フラクタル上の解析学 / ポテンシャル論 / エネルギー測度 / ランダム媒質中のディレクティドポリマー / 自由エネルギー / フラクタル幾何学 / 3次元一様全域木 / 劣ガウス型熱核評価 / ランダムフラクタル / リーマン面 / 離散リーマン面 / 擬等角写像 / 離散擬等角写像 / タイヒミュラー空間 Less

Analysis, geometry and their interplays on fractals and stochastic processes on them
- Principal Investigator
  
  梶野直孝
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kyoto University
離散リーマン面の離散擬等角変形理論の基礎づけ
- Principal Investigator
  
  川平友規
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Hitotsubashi University
離散群のポアソン境界と幾何解析Principal Investigator
- Principal Investigator
  
  田中亮吉
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kyoto University
  Tohoku University
Analysis and geometry of fractals and stochastic processes on them from field-transverse viewpoints
- Principal Investigator
  
  梶野直孝
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kyoto University
  Kobe University
Geometry of discrete groups and its applicationsPrincipal Investigator
- Principal Investigator
  
  Tanaka Ryokichi
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
  Tohoku University
Discrete geometric analysis on boundaries of graphs and groupsPrincipal Investigator
- Principal Investigator
  
  Tanaka Ryokichi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
Discrete geometric analysis of the scaling limit and its applicationsPrincipal Investigator
- Principal Investigator
  
  TANAKA Ryokichi
- Project Period (FY)
  2012 – 2013
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 Other

All Journal Article Presentation

[Journal Article] Uniformizing surfaces via discrete harmonic maps2021
- Author(s)
  Kajigaya Toru、Tanaka Ryokichi
- Journal Title
  
  Annales Henri Lebesgue
  
  Volume: 4 Pages: 1767-1807
- DOI
  10.5802/ahl.116
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14178, KAKENHI-PROJECT-20K03602, KAKENHI-PROJECT-18K13420
[Journal Article] Random walks on the discrete affine group2021
- Author(s)
  Brieussel Jeremie、Tanaka Ryokichi、Zheng Tianyi
- Journal Title
  
  Groups, Geometry, and Dynamics
  
  Volume: 15 Pages: 935-963
- DOI
  10.4171/ggd/616
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178, KAKENHI-PROJECT-20K03602
[Journal Article] Topological flows for hyperbolic groups2021
- Author(s)
  TANAKA RYOKICHI
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 41 Pages: 3474-3520
- DOI
  10.1017/etds.2020.101
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14178, KAKENHI-PROJECT-20K03602
[Journal Article] Cutoff for product replacement on finite groups2020
- Author(s)
  Yuval Peres, Ryokichi Tanaka, Alex Zhai
- Journal Title
  
  Probability Theory and Related Fields
  
  Volume: 未定
- DOI
  10.1007/s00440-020-00962-1
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Journal Article] Dimension of harmonic measures in hyperbolic spaces2019
- Author(s)
  TANAKA RYOKICHI
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 未定 Pages: 1-26
- DOI
  10.1017/etds.2017.23
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800029, KAKENHI-PROJECT-17K14178
[Journal Article] Hausdorff spectrum of harmonic measure2017
- Author(s)
  Tanaka R.
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 37 Pages: 277-307
- DOI
  10.1017/etds.2015.48
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800029
[Journal Article] Dimension of harmonic measures in hyperbolic spaces2017
- Author(s)
  Tanaka R.
- Journal Title
  
  Ergodic Theory and Dynamical Systems, to appear. arXiv:1605.03874
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800029
[Journal Article] A note on a local ergodic theorem for an infinite tower of coverings2016
- Author(s)
  Tanaka R.
- Journal Title
  
  Springer Proceedings in Mathematics and Statistics
  
  Volume: 166 Pages: 101-116
- DOI
  10.1007/978-4-431-56104-0_6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800029
[Journal Article] Random Dirichlet series arising from records2015
- Author(s)
  Peled R., Peres Y., Pitman J., Tanaka R.
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 67 Pages: 1705-1723
- DOI
  10.2969/jmsj/06741705
- NAID
  130005108957
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Journal Article] Discrete random walks on the group Sol2013
- Author(s)
  Jeremie Brieussel, and Ryokichi Tanaka
- Journal Title
  
  arXiv : 1306.6180[math.PR], Israel Journal of Mathematics
  
  Volume: (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840002
[Journal Article] Hydrodynamic limit for weakly asymmetric simple exclusion processes in crystal lattices2012
- Author(s)
  Ryokichi Tanaka
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 315 Pages: 603-641
- DOI
  10.1007/s00220-012-1574-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] 双曲群の位相流と擬相似剛性定理2022
- Author(s)
  田中亮吉
- Organizer
  微分トポロジーセミナー (online)
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] 双曲群の位相流と擬相似剛性定理2022
- Author(s)
  田中亮吉
- Organizer
  微分トポロジーセミナー (online)
- Invited
- Data Source
  KAKENHI-PROJECT-20K03602
[Presentation] 有限グラフの埋め込みに対する最適な双曲曲面の存在とその構成2022
- Author(s)
  田中亮吉
- Organizer
  代数・解析・幾何学セミナー (online)
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] 有限グラフの埋め込みに対する最適な双曲曲面の存在とその構成2022
- Author(s)
  田中亮吉
- Organizer
  代数・解析・幾何学セミナー (online)
- Invited
- Data Source
  KAKENHI-PROJECT-20K03602
[Presentation] The Manhattan curve and rough similarity rigidity2021
- Author(s)
  Ryokichi Tanaka
- Organizer
  Ohio State University, Ergodic Theory Seminar (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03602
[Presentation] The Manhattan curve and rough similarity rigidity2021
- Author(s)
  Ryokichi Tanaka
- Organizer
  Pacific Dynamics Seminar (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03602
[Presentation] Glauber-Exclusion dynamics: rapid mixing regime2021
- Author(s)
  田中亮吉
- Organizer
  The 19th Symposium Stochas- tic Analysis on Large Scale Interacting Systems (online)
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] The Manhattan curve and rough similarity rigidity2021
- Author(s)
  Ryokichi Tanaka
- Organizer
  Pacific Dynamics Seminar (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Glauber-Exclusion dynamics: rapid mixing regime2021
- Author(s)
  田中亮吉
- Organizer
  The 19th Symposium Stochas- tic Analysis on Large Scale Interacting Systems (online)
- Invited
- Data Source
  KAKENHI-PROJECT-20K03602
[Presentation] An optimal hyperbolic metric for graph embedding2020
- Author(s)
  田中亮吉
- Organizer
  東工大複素解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Topological flows for hyperbolic groups2020
- Author(s)
  Ryokichi Tanaka
- Organizer
  Geometric Group Theory in East Asia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03602
[Presentation] Topological flows for hyperbolic groups2020
- Author(s)
  Ryokichi Tanaka
- Organizer
  Geometric Group Theory in East Asia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Dimension of harmonic measures in hyperbolic spaces2019
- Author(s)
  Ryokichi Tanaka
- Organizer
  Conference in Geometric Group Theory, Beijing International Center for Mathematical Research (BICMR), Beijing, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] Cutoff for product replacement on finite groups2019
- Author(s)
  田中亮吉
- Organizer
  東京確率論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Cutoff for product replacement on finite groups2019
- Author(s)
  Ryokichi Tanaka
- Organizer
  Kobe Workshop on Probabilistic Potential Theory and Related Fields
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Cutoff for product replacement on finite groups2019
- Author(s)
  Ryokichi Tanaka
- Organizer
  AIMR Workshop on Pure and Applied Mathematics, Tohoku University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] 離散群のポアソン境界2019
- Author(s)
  田中亮吉
- Organizer
  2019年度表現論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Uniformizing surfaces via discrete harmonic maps2019
- Author(s)
  Ryokichi Tanaka
- Organizer
  Rainwater Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Uniformizing surfaces via discrete harmonic maps2019
- Author(s)
  田中亮吉
- Organizer
  東北複素解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Dimension of harmonic measures in hyperbolic spaces2019
- Author(s)
  田中亮吉
- Organizer
  2018年度「リーマン面・不連続群」研究集会, 早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] 離散群上のポテンシャル論における距離埋め込みの方法2018
- Author(s)
  田中亮吉
- Organizer
  日本数学会2018年度年会幾何学分科会特別講演, 東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Cutoff for the product replacement algorithm2018
- Author(s)
  田中亮吉
- Organizer
  CRESTミーティング, 京都大学高等研究院
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Poisson boundary for the discrete affine group2018
- Author(s)
  田中亮吉
- Organizer
  作用素環セミナー, 東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Isoperimetric profile and return probability for the discrete affine group2018
- Author(s)
  Ryokichi Tanaka
- Organizer
  Geometry and Probability, Tohoku University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Dimension of harmonic measures in hyperbolic spaces2018
- Author(s)
  Ryokichi Tanaka
- Organizer
  Conference in Geometric Group Theory, Beijing International Center for Mathematical Research (BICMR), Beijing, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] 双曲群における調和測度のハウスドルフ次元公式とその応用2018
- Author(s)
  田中亮吉
- Organizer
  幾何セミナー, 大阪大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Poisson boundary for the discrete affine group2018
- Author(s)
  Ryokichi Tanaka
- Organizer
  2018 Spring Probability Workshop, Institute of Mathematics, Academia Sinica, Taipei, Taiwan
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] 調和測度のハウスドルフ次元公式2018
- Author(s)
  田中亮吉
- Organizer
  リーマン幾何と幾何解析, 筑波大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Random walks on the discrete affine group2018
- Author(s)
  Ryokichi Tanaka
- Organizer
  Young Geometric Analysts' Forum 2018, Sanya, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] ``Spectral gaps, log-Sobolev constants, and mixing times'', ``Mixing times, couplings, and cutoffs''2018
- Author(s)
  田中亮吉
- Organizer
  幾何学阿蘇研究集会, 休暇村南阿蘇
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Random walks on the discrete affine group2018
- Author(s)
  Ryokichi Tanaka
- Organizer
  Young Geometric Analysts' Forum 2018, Sanya, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] ランダムディリクレ級数2018
- Author(s)
  田中亮吉
- Organizer
  整数論セミナー, 東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Isoperimetric profile and return probability for the discrete affine group2018
- Author(s)
  Ryokichi Tanaka
- Organizer
  Geometry and Probability, Tohoku University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] 離散群上のポテンシャル論における距離埋め込みの方法2018
- Author(s)
  田中亮吉
- Organizer
  日本数学会2018年度年会幾何学分科会特別講演, 東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] 調和測度のハウスドルフ次元公式2018
- Author(s)
  田中亮吉
- Organizer
  リーマン幾何と幾何解析, 筑波大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Cutoff for the product replacement chain2018
- Author(s)
  田中亮吉
- Organizer
  談話会, 大阪大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] パラメータ付きPatterson-Sullivan測度2018
- Author(s)
  田中亮吉
- Organizer
  早稲田双曲幾何幾何学的群論セミナー, 早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Cutoff for product replacement on finite groups2018
- Author(s)
  Ryokichi Tanaka
- Organizer
  S\'eminaire Gaston Darboux, Universit\'e de Montpellier
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Equivalence of measures at infinity for word hyperbolic groups2017
- Author(s)
  Ryokichi Tanaka
- Organizer
  EGGS(Ergodic and Geometric Group theory in Sendai), Tohoku University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Rough isometries and measures at infinity for word hyperbolic groups2017
- Author(s)
  Ryokichi Tanaka
- Organizer
  Rigidity School, Nagoya 2017, Nagoya University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Dimension of harmonic measures in hyperbolic spaces2017
- Author(s)
  Ryokichi Tanaka
- Organizer
  The 3rd Japan-China geometry conference, Tohoku University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Equivalence of measures at infinity for word hyperbolic groups2017
- Author(s)
  Ryokichi Tanaka
- Organizer
  EGGS(Ergodic and Geometric Group theory in Sendai), Tohoku University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] さまざまな群の上のランダムウォーク2017
- Author(s)
  田中亮吉
- Organizer
  第64回幾何学シンポジウム, 金沢大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] 離散アファイン群のポアソン境界2017
- Author(s)
  田中亮吉
- Organizer
  2017年度福岡大学微分幾何研究集会, 福岡大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] さまざまな群の上のランダムウォーク2017
- Author(s)
  田中亮吉
- Organizer
  第64回幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] ランダム生成系のマルコフ連鎖とカットオフ2017
- Author(s)
  田中亮吉
- Organizer
  福岡大学微分幾何セミナー, 福岡大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] ランダム生成系のマルコフ連鎖とカットオフ2017
- Author(s)
  田中亮吉
- Organizer
  福岡大学微分幾何セミナー, 福岡大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Continuous and discrete potential theory in Gromov hyperbolic spaces2017
- Author(s)
  Ryokichi Tanaka
- Organizer
  Global properties in potential theory of continuous and discrete spaces, Hokkaido University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14178
[Presentation] Rough isometries and measures at infinity for word hyperbolic groups2017
- Author(s)
  Ryokichi Tanaka
- Organizer
  Rigidity School, Nagoya 2017, Nagoya University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Dimension of harmonic measures in hyperbolic spaces2017
- Author(s)
  Ryokichi Tanaka
- Organizer
  The 3rd Japan-China geometry conference, Tohoku University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] 離散アファイン群のポアソン境界2017
- Author(s)
  田中亮吉
- Organizer
  2017年度福岡大学微分幾何研究集会, 福岡大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Continuous and discrete potential theory in Gromov hyperbolic spaces2017
- Author(s)
  Ryokichi Tanaka
- Organizer
  Global properties in potential theory of continuous and discrete spaces, Hokkaido University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Dimension of harmonic measures in hyperbolic spaces2016
- Author(s)
  Ryokichi Tanaka
- Organizer
  UBC Probability Seminar
- Place of Presentation
  Vancouver, BC, Canada
- Invited
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Dimension of harmonic measures in hyperbolic spaces2016
- Author(s)
  Ryokichi Tanaka
- Organizer
  UW Probability Seminar
- Place of Presentation
  Seattle, WA, USA
- Invited
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Numerical characteristics and statistical properties of Gromov hyperbolic groups2016
- Author(s)
  Tanaka, R.
- Organizer
  Workshop on Random and Statistical Topology
- Place of Presentation
  Tohoku University, Sendai, Japan
- Year and Date
  2016-02-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Harmonic measure and interpolation measure for hyperbolic groups2015
- Author(s)
  Tanaka, R.
- Organizer
  Random walks and harmonic functions on groups
- Place of Presentation
  EPFL, Laussane, Switzerland
- Year and Date
  2015-12-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Random walk on Gromov hyperbolic groups: entropy and speed2015
- Author(s)
  Tanaka, R.
- Organizer
  the 14th Stochastic Analysis on Large Scale Interacting Systems
- Place of Presentation
  RIMS, Kyoto University, Japan
- Year and Date
  2015-10-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Random Dirichlet series arising from records2015
- Author(s)
  Tanaka R.
- Organizer
  Workshop on beta-transformatin and related topics
- Place of Presentation
  福岡市
- Year and Date
  2015-03-10
- Invited
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Random walks on hyperbolic groups: entropy and speed2015
- Author(s)
  Tanaka, R.
- Organizer
  Stochastic Analysis and Applications
- Place of Presentation
  Tohoku University, Sendai, Japan
- Year and Date
  2015-08-31
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Random Dirichlet series arising from records2014
- Author(s)
  Tanaka R.
- Organizer
  Probability seminar
- Place of Presentation
  UK
- Year and Date
  2014-12-02
- Invited
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Random walks on solvable Lie groups and their harmonic measures2014
- Author(s)
  Ryokichi Tanaka
- Organizer
  Seminaire Analyse et Geometrie
- Place of Presentation
  パリ、フランス
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Random walks on solvable Lie groups and their harmonic measures2014
- Author(s)
  Ryokichi Tanaka
- Organizer
  Seminaire Analyse et Geometrie
- Place of Presentation
  Universite Paris Diderot 7, Paris, フランス
- Year and Date
  2014-02-11
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Discrete random walks on the group Sol2014
- Author(s)
  Ryokichi Tanaka
- Organizer
  Random walks on groups
- Place of Presentation
  Institute Henri Poincare, フランス
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Discrete random walks on the group Sol2014
- Author(s)
  Ryokichi Tanaka
- Organizer
  Seminaire de Theorie Ergodique
- Place of Presentation
  Universite de Rennes 1, フランス
- Year and Date
  2014-02-03
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Discrete random walks on the group Sol2014
- Author(s)
  Ryokichi Tanaka
- Organizer
  Seminaire de Theorie Ergodique
- Place of Presentation
  レンヌ、フランス
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Discrete random walks on the group Sol2014
- Author(s)
  Ryokichi Tanaka
- Organizer
  Random walks on groups
- Place of Presentation
  パリ、フランス
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Harmonic measures for a solvable group2013
- Author(s)
  田中亮吉
- Organizer
  関西確率論セミナー
- Place of Presentation
  京都大学
- Year and Date
  2013-10-11
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Discrete random walks on the group Sol2013
- Author(s)
  田中亮吉
- Organizer
  東北大学幾何セミナー
- Place of Presentation
  東北大学
- Year and Date
  2013-10-08
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Random walks on groups of exponential volume growth2013
- Author(s)
  Ryokichi Tanaka
- Organizer
  The 2nd workshop on Universality and Scaling Limits in Probability and Statistical Mechanics
- Place of Presentation
  北海道大学
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] 可解群の調和測度2013
- Author(s)
  田中亮吉
- Organizer
  東北確率論セミナー
- Place of Presentation
  東北大学
- Year and Date
  2013-07-19
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] The triviality of the boundary for nilpotent groups2013
- Author(s)
  Ryokichi Tanaka
- Organizer
  Rigidity School, Tokyo 2012/2013
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] 可解群の調和測度2013
- Author(s)
  田中亮吉
- Organizer
  東北大学確率論セミナー
- Place of Presentation
  東北大学
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Large deviations for random walks on nilpotent groups2013
- Author(s)
  Ryokichi Tanaka
- Organizer
  Analysis Seminar
- Place of Presentation
  University of Ottawa, カナダ
- Year and Date
  2013-03-07
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Random walks on groups of exponential volume growth2013
- Author(s)
  Ryokichi Tanaka
- Organizer
  The 2nd workshop on Universality and Scaling Limits in Probability and Statistical Mechanics
- Place of Presentation
  Hokkaido University
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Discrete random walks on the group Sol2013
- Author(s)
  Ryokichi Tanaka
- Organizer
  Dirichlet Forms and Applications, German-Japanese Meeting on Stochastic Analysis
- Place of Presentation
  University of Leipzig, ドイツ
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Discrete random walks on the group Sol2013
- Author(s)
  Ryokichi Tanaka
- Organizer
  Dirichlet Forms and Applications, German- Japanese Meeting on Stochastic Analysis
- Place of Presentation
  ライプチヒ、ドイツ
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Large deviations for random walks on nilpotent groups2013
- Author(s)
  Ryokichi Tanaka
- Organizer
  Analysis Seminar
- Place of Presentation
  University of Ottawa, Canada
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] The triviality of the boundary for nilpotent groups2013
- Author(s)
  Ryokichi Tanaka
- Organizer
  Rigidity School, Tokyo
- Place of Presentation
  The University of Tokyo
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] A local ergodic theorem and its application to crystal lattices2012
- Author(s)
  Ryokichi Tanaka
- Organizer
  workshop, Random MediaII
- Place of Presentation
  WPI-AIMR, 東北大学
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] A local ergodic theorem for an infinite tower of coverings2012
- Author(s)
  Ryokichi Tanaka
- Organizer
  New developments in complex dynamical systems
- Place of Presentation
  Research Institute for Mathematical Sciences, 京都大学
- Year and Date
  2012-12-11
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] A global law of large number on nilpotent groups2012
- Author(s)
  Ryokichi Tanaka
- Organizer
  Seminaire Gaston Darboux
- Place of Presentation
  Institute de Mathematiques et de Modelisation de Montpellier, Universite Montpellier 2, science et techniques, France
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] A local ergodic theorem for an infinite tower of coverings2012
- Author(s)
  Ryokichi Tanaka
- Organizer
  New developments in complex dynamical systems
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] A local ergodic theorem for an infinite tower of coverings2012
- Author(s)
  Ryokichi Tanaka
- Organizer
  workshop, Discrete Geometric Analysis
- Place of Presentation
  Research Institute for Mathematical Sciences, 京都大学
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] A global law of large number on nilpotent groups2012
- Author(s)
  Ryokichi Tanaka
- Organizer
  Séminaire Gaston Darboux
- Place of Presentation
  Institute de Mathematiques et de Modélisation de Montpellier, Université Montpellier 2, science et techniques, フランス
- Year and Date
  2012-11-23
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Hydrodynamic limit for weakly asymmetric simple exclusion processes in crystal lattices2012
- Author(s)
  Ryokichi Tanaka
- Organizer
  Oberseminar ANALYSIS-PROBABILITY
- Place of Presentation
  Max-Planck-Institute für Mathematik in den Naturwissenschaften, Leipzig, ドイツ
- Year and Date
  2012-11-13
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] A local ergodic theorem and its application to crystal lattices2012
- Author(s)
  Ryokichi Tanaka
- Organizer
  Random Media II
- Place of Presentation
  東北大学WPI-AIMR
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Large deviation for a random walk on a group of polynomial growth2012
- Author(s)
  Ryokichi Tanaka
- Organizer
  11^<th> workshop on Stochastic Analysis on Large Scale Interacting Systems
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Hydrodynamic limit for weakly asymmetric simple exclusion processes in crystal lattices2012
- Author(s)
  Ryokichi Tanaka
- Organizer
  Oberseminar ANALYSIS-PROBABILITY
- Place of Presentation
  Max-Planck-Institute fuer Mathematik in den Naturwissenschaften, Leipzig, Germany
- Invited
- Data Source
  KAKENHI-PROJECT-24840002
[Presentation] Limit theorems on nilpotent groups, global law of large numbers and large deviations
- Author(s)
  Tanaka R.
- Organizer
  Probabilistic Aspects of Harmonic Analysis
- Place of Presentation
  Poland
- Year and Date
  2014-04-26 – 2014-05-03
- Invited
- Data Source
  KAKENHI-PROJECT-26800029
[Presentation] Random Dirichlet series arising from records
- Author(s)
  Tanaka R.
- Organizer
  Rigidity School, Tokyo 2014 (2nd)
- Place of Presentation
  東京都
- Year and Date
  2014-11-22 – 2014-11-24
- Invited
- Data Source
  KAKENHI-PROJECT-26800029

1. 梶野直孝 (90700352)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. 白石大典 (00647323)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. 中島誠 (60635902)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. Croydon David (50824182)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 川平友規 (50377975)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 須川敏幸 (30235858)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 島内宏和 (90759200)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. KAJIGAYA Toru

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Tanaka Ryokichi 田中 亮吉

TANAKA Ryokichi 田中 亮吉

Research Projects

Research Products

Co-Researchers

Analysis, geometry and their interplays on fractals and stochastic processes on them

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

離散リーマン面の離散擬等角変形理論の基礎づけ

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

離散群のポアソン境界と幾何解析Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis and geometry of fractals and stochastic processes on them from field-transverse viewpoints

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometry of discrete groups and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Discrete geometric analysis on boundaries of graphs and groupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Discrete geometric analysis of the scaling limit and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Uniformizing surfaces via discrete harmonic maps2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Random walks on the discrete affine group2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Topological flows for hyperbolic groups2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Cutoff for product replacement on finite groups2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Dimension of harmonic measures in hyperbolic spaces2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Hausdorff spectrum of harmonic measure2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Dimension of harmonic measures in hyperbolic spaces2017

Author(s)

Journal Title

Tanaka Ryokichi 田中亮吉

TANAKA Ryokichi 田中亮吉