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Tsukamoto, Masaki
Graduate School of Science, Division of Mathematics and Mathematical Sciences Professor
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Last Updated :2025/06/05
Basic Information
Faculty
Academic Degree
Academic Resume (Graduate Schools)
- 京都大学, 大学院理学研究科数学・数理解析専攻博士後期課程, 修了
- 京都大学, 大学院理学研究科博士後期課程数学・数理解析専攻, 修了
- 京都大学, 大学院理学研究科修士課程数学・数理解析専攻, 修了
- 京都大学, 大学院理学研究科数学・数理解析専攻修士課程, 修了
Academic Resume (Undergraduate School/Majors)
Research History
- From Apr. 2022, To PresentKyoto University, Graduate School of Science Division of Mathematics, 教授
- From Apr. 2019, To Mar. 2022Kyushu University, Faculty of Mathematics, 教授
- From Apr. 2017, To Mar. 2019Kyoto University, Graduate School of Science Division of Mathematics, 准教授
- From Aug. 2008, To Mar. 2017Kyoto University, Graduate School of Science Division of Mathematics, 助教
- From Apr. 2008, To Jul. 2008京都大学，日本学術振興会 特別研究員 PD
- From Apr. 2007, To Mar. 2008京都大学，日本学術振興会 特別研究員 DC1
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ORCID ID
J-Global ID
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Last Updated :2025/06/05
Research
Research Topics, Overview of the research
Research Topics
I study mean dimension of dynamical systems from the viewpoints of geometric analysis, signal processing and information theory.Overview of the research
My main research subject is mean dimension of dynamical systems. In particular:
(1) Mean dimension of dynamical systems of holomorphic curves.
(2) Embedding problem of dynamical systems.
(3) Variational principle between mean dimension theory and rate distortion theory.
Research Interests
Research Areas
Papers
- Application of waist inequality to entropy and mean dimension: IIMasaki TsukamotoFundamenta Mathematicae, Jul. 2024, Peer-reviewed
- Simple proof of the global inverse function theorem via the Hopf–Rinow theoremShinobu Ohkita; Masaki TsukamotoProceedings of the Japan Academy, Series A, Mathematical Sciences, 11 Mar. 2024, Peer-reviewed
- Application of waist inequality to entropy and mean dimensionRuxi Shi; Masaki TsukamotoTransactions of the American Mathematical Society, 14 Aug. 2023, Peer-reviewed
- G-index, topological dynamics and the marker propertyMasaki Tsukamoto; Mitsunobu Tsutaya; Masahiko YoshinagaIsrael Journal of Mathematics, 29 Dec. 2022, Peer-reviewed
- New approach to weighted topological entropy and pressureMASAKI TSUKAMOTOErgodic Theory and Dynamical Systems, 28 Jan. 2022, Peer-reviewed
- On the energy of quasiconformal mappings and pseudoholomorphic curves in complex projective spacesHervé GAUSSIER; Masaki TSUKAMOTOJournal of the Mathematical Society of Japan, 21 Apr. 2022, Peer-reviewed
- REMARK ON THE LOCAL NATURE OF METRIC MEAN DIMENSIONMasaki TSUKAMOTOKyushu Journal of Mathematics, Apr. 2022, Peer-reviewed
- Symbolic dynamics in mean dimension theoryMAO SHINODA; MASAKI TSUKAMOTOErgodic Theory and Dynamical Systems, Aug. 2021, Peer-reviewed
- Embedding minimal dynamical systems into Hilbert cubesYonatan Gutman; Masaki TsukamotoInventiones mathematicae, Jul. 2020, Peer-reviewed
- Double variational principle for mean dimension with potentialMasaki TsukamotoAdvances in Mathematics, Feb. 2020, Peer-reviewed
- Application of signal analysis to the embedding problem of ${\mathbb {Z } }^k$-actionsYonatan Gutman; Yixiao Qiao; Masaki TsukamotoGeometric and Functional Analysis, Oct. 2019, Peer-reviewed
- Double variational principle for mean dimensionElon Lindenstrauss; Masaki TsukamotoGeometric and Functional Analysis, Aug. 2019, Peer-reviewed
- Mean dimension of full shiftsMasaki TsukamotoIsrael Journal of Mathematics, Mar. 2019, Peer-reviewed
- A Lipschitz Refinement of the Bebutov–Kakutani Dynamical Embedding TheoremYonatan Gutman; Lei Jin; Masaki TsukamotoJournal of Dynamics and Differential Equations, Mar. 2019, Peer-reviewed
- Expansive multiparameter actions and mean dimensionTom Meyerovitch; Masaki TsukamotoTransactions of the American Mathematical Society, 02 Oct. 2018, Peer-reviewed
- From Rate Distortion Theory to Metric Mean Dimension: Variational PrincipleElon Lindenstrauss; Masaki TsukamotoIEEE Transactions on Information Theory, 01 May 2018, Peer-reviewed
- Mean dimension of the dynamical system of Brody curvesMasaki TsukamotoInventiones mathematicae, Mar. 2018, Peer-reviewed
- Large dynamics of Yang–Mills theory: mean dimension formulaMasaki TsukamotoJournal d'Analyse Mathématique, Feb. 2018, Peer-reviewed
- Mean dimension of ${\mathbb{Z}^k}$-actionsYonatan Gutman; Elon Lindenstrauss; Masaki TsukamotoGeometric and Functional Analysis, Jun. 2016, Peer-reviewed
- GROWTH OF CRITICAL POINTS IN 1-DIMENSIONAL LATTICE SYSTEMSMasayuki Asaoka; Tomohiro Fukaya; Kentaro Mitsui; Masaki TsukamotoJOURNAL D ANALYSE MATHEMATIQUE, Sep. 2015, Peer-reviewed
- Local mean dimension of ASD moduli spaces over the cylinderShinichiroh Matsuo; Masaki TsukamotoISRAEL JOURNAL OF MATHEMATICS, Apr. 2015, Peer-reviewed
- Mean dimension and a sharp embedding theorem: extensions of aperiodic subshiftsYonatan Gutman; Masaki TsukamotoERGODIC THEORY AND DYNAMICAL SYSTEMS, Dec. 2014, Peer-reviewed
- Sharp lower bound on the curvatures of ASD connections over the cylinderMasaki TsukamotoJOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Jul. 2014, Peer-reviewed
- Brody curves and mean dimensionShinichiroh Matsuo; Masaki TsukamotoJournal of the American Mathematical Society, 22 May 2014, Peer-reviewed
- Mean dimension and an embedding problem: An exampleElon Lindenstrauss; Masaki TsukamotoISRAEL JOURNAL OF MATHEMATICS, Mar. 2014, Peer-reviewed
- Remark on energy density of Brody curvesMasaki TsukamotoPROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Oct. 2012, Peer-reviewed
- Remark on dynamical Morse inequalityMasayuki Asaoka; Tomohiro Fukaya; Masaki TsukamotoPROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Nov. 2011, Peer-reviewed
- An open 4-manifold having no instantonMasaki TsukamotoANNALS OF GLOBAL ANALYSIS AND GEOMETRY, Oct. 2011, Peer-reviewed
- Instanton approximation, periodic ASD connections, and mean dimensionShinichiroh Matsuo; Masaki TsukamotoJOURNAL OF FUNCTIONAL ANALYSIS, Mar. 2011, Peer-reviewed
- Asymptotic distribution of critical valuesTomohiro Fukaya; Masaki TsukamotoGEOMETRIAE DEDICATA, Dec. 2009, Peer-reviewed
- Gauge Theory on Infinite Connected Sum and Mean DimensionMasaki TsukamotoMATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, Nov. 2009, Peer-reviewed
- Deformation of Brody curves and mean dimensionMasaki TsukamotoERGODIC THEORY AND DYNAMICAL SYSTEMS, Oct. 2009, Peer-reviewed
- A PACKING PROBLEM FOR HOLOMORPHIC CURVESMasaki TsukamotoNAGOYA MATHEMATICAL JOURNAL, Jun. 2009, Peer-reviewed
- MODULI SPACE OF BRODY CURVES, ENERGY AND MEAN DIMENSIONMasaki TsukamotoNAGOYA MATHEMATICAL JOURNAL, Dec. 2008, Peer-reviewed
- Macroscopic dimension of the l(p)-ball with respect to the l(q)-normMasaki TsukamotoJOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2008, Peer-reviewed
- Gluing an infinite number of instantonsMasaki TsukamotoNAGOYA MATHEMATICAL JOURNAL, Dec. 2007, Peer-reviewed
- On holomorphic curves in algebraic torusMasaki TsukamotoJOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2007, Peer-reviewed
Misc.
Presentations
- Rate distortion dimension of random Brody curvesMasaki TsukamotoClassical Function Theory in Modern Mathematics, 01 Jul. 2024, Invited
- Brody curves and mean dimensionMasaki TsukamotoFields Medal Syposium, 01 Oct. 2013, Invited
- ブロディ曲線と平均次元塚本 真輝幾何学シンポジウム 基調講演, 29 Aug. 2012, Invited
- 非コンパクト４次元多様体上のゲージ理論塚本 真輝日本数学会秋季総合分科会 特別講演（幾何学分科会）, 28 Sep. 2011, Invited
- Brody曲線の空間の幾何と平均次元塚本 真輝日本数学会年会 特別講演（函数論分科会）, 28 Mar. 2009, Invited
Awards
- 16 Mar. 2021春季賞（日本数学会）
- 18 Sep. 2019幾何学賞（日本数学会）
- 20 Apr. 2016平成28年度文部科学大臣表彰若手科学者賞（科学技術分野）（文部科学省）
- 26 Sep. 2014２０１４年度日本数学会賞建部賢弘特別賞（日本数学会）
External funds: Kakenhi
- Study on the double variational principle for mean dimension of dynamical systemsGrant-in-Aid for Scientific Research (C)Basic Section 11020:Geometry-relatedKyoto University;Kyushu University塚本 真輝From 01 Apr. 2021, To 31 Mar. 2025, Granted力学系;エルゴード理論;平均次元;レート歪み理論;正則曲線;幾何学的測度論;エントロピー;情報理論
- Study of mean dimension of dynamical systemsGrant-in-Aid for Scientific Research (C)Basic Section 11020:Geometry-relatedKyushu University;Kyoto UniversityMasaki TsukamotoFrom 01 Apr. 2018, To 31 Mar. 2021, Project Closed力学系;エルゴード理論;平均次元;レート歪み理論;情報理論;マーカー性質;周期点;位相的エントロピー;幾何解析
- Geometric analysis and dynamics on non-compact spacesGrant-in-Aid for Young Scientists (B)Kyoto UniversityMasaki TsukamotoFrom 01 Apr. 2013, To 31 Mar. 2016, Project Closed力学系;幾何解析;信号処理;平均次元;正則曲線;位相的エントロピー;位相力学系;国際情報交換（イスラエル，ポーランド）;国際情報交換;イスラエル：ポーランド：イギリス
- Moduli theory of non linear elliptic operators over non compact manifoldsGrant-in-Aid for Scientific Research (B)Kyoto UniversityTsuyoshi KatoFrom 01 Apr. 2013, To 31 Mar. 2017, Project Closedゲージ理論;非可換幾何学;モノポール写像;普遍被覆空間;サイバーグウイッテン理論;無限次元ボット周期性;非コンパクト空間上の解析;Lpコホモロジー;離散群;スペクトル解析;モジュライ空間;キャッソンハンドル;非コンパクト多様体
- Geometric Analysis on non-compact spaces and the geometry of infinite dimensional moduli spacesGrant-in-Aid for Young Scientists (B)Kyoto UniversityMasaki TSUKAMOTOFrom 01 Apr. 2009, To 31 Mar. 2012, Project Closed微分幾何;複素解析;力学系;無限次元;非コンパクト空間;モジュライ空間;平均次元;非コンパクト;モジュライ
- 整正則曲線に対するエルゴード理論的手法の研究Grant-in-Aid for Scientific Research (C)Basic Section 11020:Geometry-relatedKyoto University塚本 真輝From 01 Apr. 2025, To 31 Mar. 2028, Adopted
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Last Updated :2025/06/05
Education
Teaching subject(s)
- From 01 Apr. 2025, To 31 Mar. 2026Exercises in Set Theory & Topology2101, Spring, Faculty of Science, 2
- From 01 Apr. 2025, To 31 Mar. 2026Set Theory & Topology2150, Spring, Faculty of Science, 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. 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. 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. 2024, To 31 Mar. 2025Special study course (Mathematical Science)5140, Year-long, Faculty of Science, 12
- 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. 2025Set Theory & Topology2150, Spring, Faculty of Science, 2
- From 01 Apr. 2024, To 31 Mar. 2025Exercises in Set Theory & Topology2101, Spring, Faculty of Science, 2
- 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. 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. 2025Exercises in Geometry II3162, Fall, Faculty of Science, 4
- From 01 Apr. 2023, To 31 Mar. 2024Set Theory & Topology2150, Spring, Faculty of Science, 2
- From 01 Apr. 2023, To 31 Mar. 2024Exercises in Set Theory & Topology2101, Spring, Faculty of Science, 2
- From 01 Apr. 2023, To 31 Mar. 2024Differental Geometry4132, Fall, Faculty of Science, 2
- 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. 2024Seminar on Differential Geometry B0533, Fall, Graduate School of Science, 3
- From 01 Apr. 2023, To 31 Mar. 2024Seminar on Differential Geometry A0532, Spring, Graduate School of Science, 3
- From 01 Apr. 2023, To 31 Mar. 2024Graduate Lecture in Differential Geometry0404, Fall, Graduate School of Science, 2
- From 01 Apr. 2023, To 31 Mar. 2024Exercises in Geometry I3182, Spring, Faculty of Science, 4
- From 01 Apr. 2022, To 31 Mar. 2023Differental Geometry4132, Fall, Faculty of Science, 2
- From 01 Apr. 2022, To 31 Mar. 2023Special study course (Mathematical Science)5140, Year-long, Faculty of Science, 12
- From 01 Apr. 2022, To 31 Mar. 2023Graduate Lecture in Differential Geometry0404, Fall, Graduate School of Science, 2
Participation in PhD Defense
- GRID HOMOLOGY FOR SPATIAL GRAPHS AND A K■NNETH FORMULA OF CONNECTED SUMSKUBOTA HAJIME, Graduate School of Science, Sub-chief Examiner24 Mar. 2025
- A Study on Reservoir Computing from the Viewpoint of Dynamical SystemsHARA MASATO, Graduate School of Science, Sub-chief Examiner24 Mar. 2025
- Gibbs measures and singular SPDEsNAGOJI HIROTATSU, Graduate School of Science, Sub-chief Examiner24 Mar. 2025
- Limit theorems for the spatial average of stochastic wave equationsEBINA MASAHISA, Graduate School of Science, Sub-chief Examiner24 Mar. 2025
- Index theory for Heisenberg elliptic and transversally Heisenberg elliptic operators from KK-theoretic viewpointTian Minjie, Graduate School of Science, Sub-chief Examiner24 Mar. 2025
- Self-closeness numbers of rational mapping spacesTONG YICHEN, Graduate School of Science, Sub-chief Examiner24 Sep. 2024
- QUANTUM COHOMOLOGY OF TORIC BUNDLESKOTO YUKI, Graduate School of Science, Sub-chief Examiner25 Mar. 2024
- and empirical measures, the irregular set and entropyUSUKI SHUNSUKE, Graduate School of Science, Sub-chief Examiner25 Mar. 2024
- Instanton knot invariants with rational holonomy parameters and an application for torus knot groupsIMORI HAYATO, Graduate School of Science, Sub-chief Examiner25 Mar. 2024
