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Tanaka, Ryokichi
Institute for Liberal Arts and Sciences Associate Professor
list
Last Updated :2026/10/20
Basic Information
Faculty
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High School
High School
群馬県立前橋高等学校
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list
Last Updated :2026/10/20
Research
Research Areas
Papers
- Dimension conservation of harmonic measures in products of hyperbolic spacesRyokichi TanakaarXiv:2403.01661, Mar. 2024
- Noise sensitivity and stability on groupsRyokichi TanakaarXiv:2403.01658, Mar. 2024
- Non-noise sensitivity for word hyperbolic groupsRyokichi TanakaAnnales de la Faculte des Sciences de Toulouse, to appear. arXiv:2211.03951, 2022, Peer-reviewed
- Invariant measures of the topological flow and measures at infinity on hyperbolic groupsStephen Cantrell; Ryokichi TanakaJournal of Modern Dynamics, 2024, Peer-reviewed
- Isogeny graphs on superspecial abelian varieties: eigenvalues and connection to Bruhat–Tits buildingsYusuke Aikawa; Ryokichi Tanaka; Takuya YamauchiCanadian Journal of Mathematics, Dec. 2024, Peer-reviewed
- Uniformizing surfaces via discrete harmonic mapsToru Kajigaya; Ryokichi TanakaAnnales Henri Lebesgue, 03 Dec. 2021, Peer-reviewed
- Topological flows for hyperbolic groupsRyokichi TanakaErgodic Theory and Dynamical Systems, Nov. 2021, Peer-reviewed
- Random walks on the discrete affine groupJérémie Brieussel; Ryokichi Tanaka; Tianyi ZhengGroups, Geometry, and Dynamics, 03 Aug. 2021, Peer-reviewed
- The Manhattan curve, ergodic theory of topological flows and rigidityStephen Cantrell; Ryokichi TanakaGeometry and Topology, to appear, arXiv:2104.13451, Apr. 2021, Peer-reviewed
- Glauber-Exclusion dynamics: rapid mixing regimeRyokichi Tanaka; Kenkichi TsunodaElectronic Journal of Probability, 01 Jan. 2022, Peer-reviewed
- Cutoff for product replacement on finite groupsYuval Peres,Ryokichi Tanaka,Alex ZhaiProbability Theory and Related Fields, 18 Feb. 2020, Peer-reviewed
- Dimension of harmonic measures in hyperbolic spacesRyokichi TanakaErgodic Theory and Dynamical Systems, Feb. 2019, Peer-reviewed
- Solitons in one-dimensional mechanical linkageKoji Sato; Ryokichi TanakaPhysical Review E, 11 Jul. 2018, Peer-reviewed
- Hausdorff spectrum of harmonic measureRyokichi TanakaErgodic Theory and Dynamical Systems, 2017, Peer-reviewed
- A Note on a Local Ergodic Theorem for an Infinite Tower of CoveringsRyokichi TanakaMathematical Challenges in a New Phase of Materials Science, 2016, Peer-reviewed
- Discrete random walks on the group SolJérémie Brieussel,Ryokichi TanakaIsrael Journal of Mathematics, 2015, Peer-reviewed
- Random Dirichlet series arising from recordsRon Peled; Yuval Peres; Jim Pitman; Ryokichi TanakaJournal of the Mathematical Society of Japan, 2015, Peer-reviewed
- Hydrodynamic Limit for Weakly Asymmetric Simple Exclusion Processes in Crystal LatticesRyokichi TanakaCommunications in Mathematical Physics, 2012, Peer-reviewed
- Large deviation on a covering graph with group of polynomial growthRyokichi TanakaMathematische Zeitschrift, 2011, Peer-reviewed
- The mutual potential of proteins and interaction networksRyokichi TanakaInternational Journal of Pure and Applied Mathematics, 2011, Peer-reviewed
Misc.
External funds: Kakenhi
- A Probabilistic Framework for New Developments in Teichmuller TheoryGrant-in-Aid for Challenging Research (Pioneering)Medium-sized Section 11:Algebra, geometry, and related fieldsKanazawa University宮地 秀樹From 26 Jun. 2026, To 31 Mar. 2032, Grantedタイヒミュラー空間;確率解析;調和測度;モジュライ空間
- Poisson boundary for discrete groups and geometric analysisGrant-in-Aid for Scientific Research (C)Basic Section 11020:Geometry-relatedKyoto University;Tohoku UniversityRyokichi TanakaFrom 01 Apr. 2020, To 31 Mar. 2025, Project Closedグロモフ双曲群;ランダムウォーク;エルゴード理論;調和測度;ハウスドルフ次元;離散群;位相流;調和関数;離散群論;双曲曲面;双曲群;擬等長;剛性問題;測地流;ポアソン境界
- Analysis and geometry of fractals and stochastic processes on them from field-transverse viewpointsGrant-in-Aid for Scientific Research (B)Basic Section 12010:Basic analysis-relatedKyoto University;Kobe UniversityNaotaka KAJINOFrom 01 Apr. 2018, To 31 Mar. 2022, Project Closedフラクタル上の解析学;劣ガウス型熱核評価;エネルギー測度;ウォーク次元;ランダム環境中のディレクティドポリマー;群上の調和解析;3次元ループ除去ランダムウォーク;3次元一様全域木;調和関数;乗法型確率熱方程式;曲面群;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;Liouville Brown運動;フラクタル上の確率熱方程式;測度のマルチフラクタル解析;双曲群;ポテンシャル論;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
- Geometry of discrete groups and its applicationsGrant-in-Aid for Young Scientists (B)Kyoto University;Tohoku UniversityRyokichi TanakaFrom 01 Apr. 2017, To 31 Mar. 2022, Project Closed離散群;ランダムウォーク;離散群論;混合時間;流体力学的極限;スピン系;グロモフ双曲群;調和関数;幾何学;確率論
- Discrete geometric analysis on boundaries of graphs and groupsGrant-in-Aid for Young Scientists (B)Tohoku UniversityRyokichi TanakaFrom 01 Apr. 2014, To 31 Mar. 2018, Project Closed離散群;グラフ;調和関数;調和測度;双曲群;従順群;離散群論;Poisson境界;語双曲群;Liouville性;ランダムウォーク;Gromov双曲群;ランダムDirichlet級数
- Discrete geometric analysis of the scaling limit and its applicationsGrant-in-Aid for Research Activity Start-upTohoku UniversityRyokichi TANAKAFrom 31 Aug. 2012, To 31 Mar. 2014, Project Closed大域解析学;離散幾何解析学;ランダムウォーク;離散群;等周定数;グラフ;スケール極限
- Analysis, geometry and their interplays on fractals and stochastic processes on themGrant-in-Aid for Scientific Research (B)Basic Section 12010:Basic analysis-relatedKyoto University梶野 直孝From 01 Apr. 2022, To 31 Mar. 2027, Granted劣ガウス型熱核評価;フラクタル上のポテンシャル論;ランダムフラクタル;自己等角フラクタル;フラクタル上の確率熱方程式;2次元一般化Sierpinski carpet;（劣）ガウス型熱核評価;ランダム媒質中の確率過程;スケール極限;離散群上のランダムウォーク;調和測度;フラクタル上の確率過程
- 離散リーマン面の離散擬等角変形理論の基礎づけGrant-in-Aid for Challenging Research (Exploratory)Medium-sized Section 12:Analysis, applied mathematics, and related fieldsHitotsubashi University川平 友規From 30 Jun. 2022, To 31 Mar. 2026, Granted離散リーマン面;擬等角写像;離散複素解析;タイヒミュラー理論;複素力学系;ベルトラミ方程式;リーマン面;離散擬等角写像;タイヒミュラー空間
- Geometry of discrete groups: boundary theory and its applicationsGrant-in-Aid for Scientific Research (C)Basic Section 11020:Geometry-relatedKyoto University田中 亮吉From 01 Apr. 2024, To 31 Mar. 2029, Grantedグロモフ双曲群;測地流;ランダムウォーク;カットオフ現象;離散群論;エルゴード理論
- Analysis, geometry and their interplays on fractals and stochastic processes on themGrant-in-Aid for Scientific Research (B)Basic Section 12010:Basic analysis-relatedKyoto University梶野 直孝From 01 Apr. 2024, To 31 Mar. 2027, Grantedポテンシャル論;調和測度;フラクタル上のp-エネルギー形式;フラクタル上のp-エネルギー測度;ランダムフラクタル;スケール極限;ランダムウォーク;臨界的2次元確率熱流;劣ガウス型熱核評価;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;自己等角フラクタル;（劣）ガウス型熱核評価;反射壁拡散過程の境界へのトレース過程;フラクタル上の確率熱方程式;2次元一般化Sierpinski carpet;ランダム媒質中の確率過程;離散群上のランダムウォーク
- 離散群に潜む新しい構造の発見と解明Grant-in-Aid for Scientific Research (A)Medium-sized Section 11:Algebra, geometry, and related fieldsOkinawa Institute of Science and Technology Graduate University;Kyoto University藤原 耕二From 01 Apr. 2025, To 31 Mar. 2029, Granted群の増大度;ランダムウォーク;双曲群;離散群;幾何群論;作用素環;距離幾何;低次元トポロジー
list
Last Updated :2026/10/20
Education
Teaching subject(s)
- From 01 Apr. 2026, To 31 Mar. 2027Linear Algebra AN180, Spring, Institute for Liberal Arts and Sciences, 2
- From 01 Apr. 2026, To 31 Mar. 2027CalculusN179, Spring, Institute for Liberal Arts and Sciences, 2
- From 01 Apr. 2026, To 31 Mar. 2027Special study course (Mathematical Science)5140, Year-long, Faculty of Science, 12
- From 01 Apr. 2026, To 31 Mar. 2027Introduction to Geometry2104, Fall, Faculty of Science, 2
- From 01 Apr. 2026, To 31 Mar. 2027Forefront of Mathematics and Mathematical Science I4138, Spring, Faculty of Science, 2
- From 01 Apr. 2026, To 31 Mar. 2027Exercises in Basic Geometry2105, Fall, Faculty of Science, 2
- From 01 Apr. 2026, To 31 Mar. 2027Seminar on Differential Geometry C0534, Spring, Graduate School of Science, 3
- From 01 Apr. 2026, To 31 Mar. 2027Seminar on Differential Geometry B0533, Fall, Graduate School of Science, 3
- From 01 Apr. 2026, To 31 Mar. 2027Seminar on Differential Geometry A0532, Spring, Graduate School of Science, 3
- From 01 Apr. 2026, To 31 Mar. 2027Seminar on Differential Geometry D0535, Fall, Graduate School of Science, 3
- From 01 Apr. 2025, To 31 Mar. 2026CalculusN179, Spring, Institute for Liberal Arts and Sciences, 2
- From 01 Apr. 2025, To 31 Mar. 2026Advanced Calculus I - Vector CalculusN124, Spring, Institute for Liberal Arts and Sciences, 2
- From 01 Apr. 2025, To 31 Mar. 2026Advanced Calculus I - Vector CalculusN124, Fall, Institute for Liberal Arts and Sciences, 2
- From 01 Apr. 2025, To 31 Mar. 2026Forefront of Mathematics and Mathematical Science I4138, Spring, Faculty of Science, 2
- From 01 Apr. 2025, To 31 Mar. 2026Exercises in Geometry II3162, Fall, Faculty of Science, 4
- From 01 Apr. 2025, To 31 Mar. 2026Seminar on Differential Geometry C0534, Spring, Graduate School of Science, 3
- From 01 Apr. 2025, To 31 Mar. 2026Seminar on Differential Geometry B0533, Fall, Graduate School of Science, 3
- From 01 Apr. 2025, To 31 Mar. 2026Seminar on Differential Geometry A0532, Spring, Graduate School of Science, 3
- From 01 Apr. 2025, To 31 Mar. 2026Seminar on Differential Geometry D0535, Fall, Graduate School of Science, 3
- From 01 Apr. 2024, To 31 Mar. 2025Elementary ProbabilityN131, Spring, Institute for Liberal Arts and Sciences, 2
- From 01 Apr. 2024, To 31 Mar. 2025Advanced Calculus I - Vector CalculusN124, Spring, Institute for Liberal Arts and Sciences, 2
- From 01 Apr. 2024, To 31 Mar. 2025Forefront of Mathematics and Mathematical Science I4138, Spring, Faculty of Science, 2
- From 01 Apr. 2024, To 31 Mar. 2025Seminar on Differential Geometry C0534, Spring, Graduate School of Science, 3
- From 01 Apr. 2024, To 31 Mar. 2025Seminar on Differential Geometry B0533, Fall, Graduate School of Science, 3
- From 01 Apr. 2024, To 31 Mar. 2025Seminar on Differential Geometry A0532, Spring, Graduate School of Science, 3
- From 01 Apr. 2024, To 31 Mar. 2025Seminar on Differential Geometry D0535, Fall, Graduate School of Science, 3
- From 01 Apr. 2024, To 31 Mar. 2025Geometry II3103, Fall, Faculty of Science, 4
- From 01 Apr. 2023, To 31 Mar. 2024Elementary ProbabilityN131, Spring, Institute for Liberal Arts and Sciences, 2
- From 01 Apr. 2023, To 31 Mar. 2024Special study course (Mathematical Science)5140, Year-long, Faculty of Science, 12
- From 01 Apr. 2023, To 31 Mar. 2024Forefront of Mathematics and Mathematical Science I4138, Spring, Faculty of Science, 2
- From 01 Apr. 2023, To 31 Mar. 2024Geometry II3103, Fall, Faculty of Science, 4
- From 01 Apr. 2022, To 31 Mar. 2023Seminar on Differential Geometry b0435, Fall, Graduate School of Science, 3
- From 01 Apr. 2022, To 31 Mar. 2023Linear Algebra with Exercises AN151, Spring, Institute for Liberal Arts and Sciences, 3
- From 01 Apr. 2022, To 31 Mar. 2023Calculus with Exercises AN149, Spring, Institute for Liberal Arts and Sciences, 3
- From 01 Apr. 2022, To 31 Mar. 2023Seminar on Differential Geometry d0437, Fall, Graduate School of Science, 3
- From 01 Apr. 2022, To 31 Mar. 2023Seminar on Differential Geometry c0436, Spring, Graduate School of Science, 3
- From 01 Apr. 2022, To 31 Mar. 2023Seminar on Differential Geometry B0533, Fall, Graduate School of Science, 3
- From 01 Apr. 2022, To 31 Mar. 2023Calculus with Exercises BN150, Fall, Institute for Liberal Arts and Sciences, 3
- From 01 Apr. 2022, To 31 Mar. 2023Seminar on Differential Geometry a0434, Spring, Graduate School of Science, 3
- From 01 Apr. 2022, To 31 Mar. 2023Advanced Calculus I - Vector CalculusN124, Spring, Institute for Liberal Arts and Sciences, 2
- From 01 Apr. 2022, To 31 Mar. 2023Forefront of Mathematics and Mathematical Science II4139, Fall, Faculty of Science, 2
- From 01 Apr. 2022, To 31 Mar. 2023Seminar on Differential Geometry A0532, Spring, Graduate School of Science, 3
- From 01 Apr. 2021, To 31 Mar. 2022Linear Algebra with Exercises BN152, Fall, Institute for Liberal Arts and Sciences, 3
Participation in PhD Defense
- Quasi-trees, Quasimorphisms and Central ExtensionsBingxue Tao, Graduate School of Science, Chief Examiner23 Mar. 2026
