Tanaka Ryokichi 田中亮吉

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TANAKA Ryokichi 田中亮吉

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Researcher Number	80629759
Other IDs
Affiliation (Current)	2022: 京都大学, 理学研究科, 准教授 2022: 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

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離散リーマン面の離散擬等角変形理論の基礎づけ

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離散群のポアソン境界と幾何解析Principal Investigator

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

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Geometry of discrete groups and its applicationsPrincipal Investigator

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Discrete geometric analysis on boundaries of graphs and groupsPrincipal Investigator

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Discrete geometric analysis of the scaling limit and its applicationsPrincipal Investigator

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[Journal Article] Uniformizing surfaces via discrete harmonic maps2021

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[Journal Article] Random walks on the discrete affine group2021

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[Journal Article] Topological flows for hyperbolic groups2021

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[Journal Article] Cutoff for product replacement on finite groups2020

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[Journal Article] Dimension of harmonic measures in hyperbolic spaces2019

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[Journal Article] Hausdorff spectrum of harmonic measure2017

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[Journal Article] Dimension of harmonic measures in hyperbolic spaces2017

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Tanaka Ryokichi 田中亮吉

TANAKA Ryokichi 田中亮吉