Basic Information

Faculty

• Faculty of Science

Email Address

• Email Address

  shimizu.ryosuke.2pkyoto-u.ac.jp

Professional Memberships

• From Oct. 2021, To Present

  日本数学会

Academic Degree

• 23 Mar. 2020

  京都大学修士（情報学）
• 26 Sep. 2022

  京都大学博士（情報学）

Academic Resume (Undergraduate School/Majors)

• 京都大学, 理学部理学科, 卒業

Research History

• From Apr. 2025, To Present

  Kyoto University, Graduate School of Informatics, Assistant Professor
• From Oct. 2023, To Mar. 2025

  Waseda University, Faculty of Science and Engineering, Junior Researcher (Assistant Professor)
• From Apr. 2023, To Mar. 2025

  Japan Society for the Promotion of Science, Research Fellowships for Young Scientists (PD)
• From Oct. 2022, To Mar. 2023

  Japan Society for the Promotion of Science, Research Fellowships for Young Scientists (PD: changed the category)
• From Apr. 2020, To Sep. 2022

  Japan Society for the Promotion of Science, Research Fellowships for Young Scientists (DC1)

ID,URL

• ORCID ID

  0009-0005-4039-3771

• J-Global ID

  202301006109601493

• Researcher number

  91013522

• External link

  https://rshimizu-math.github.io/

researchmap URL

• https://researchmap.jp/RyosukeShimizu

Research

Research Areas

• Natural sciences, Basic analysis

Papers

• Characterizations of Sobolev functions via Besov-type energy functionals in fractals

  Ryosuke Shimizu

  Potential Analysis (to appear), 25 Jun. 2025, Peer-reviewed, Corresponding author

  
• Finite dimensionality of Besov spaces and potential-theoretic decomposition of metric spaces

  Takashi Kumagai; Nageswari Shanmugalingam; Ryosuke Shimizu

  Annales Fennici Mathematici (to appear), 18 Jun. 2025, Peer-reviewed, Corresponding author

  
• $p$-Energy forms on fractals: recent progress

  Naotaka Kajino; Ryosuke Shimizu

  From Classical Analysis to Analysis on Fractals: A Tribute to Robert Strichartz, Volume 2, Applied and Numerical Harmonic Analysis (to appear), 24 May 2025, Peer-reviewed, Invited

  
• First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

  Mathav Murugan; Ryosuke Shimizu

  Communications on Pure and Applied Mathematics, 18 Feb. 2025, Peer-reviewed, Corresponding author

  
• Korevaar-Schoen $p$-energy forms and associated $p$-energy measures on fractals

  Naotaka Kajino; Ryosuke Shimizu

  Tohoku Series in Mathematical Sciences (to appear), 30 Sep. 2024, Peer-reviewed

  
• Construction of 𝑝-energy and associated energy measures on Sierpiński carpets

  Ryosuke Shimizu

  Transactions of the American Mathematical Society, 377 (2024), no. 2,, 11 Oct. 2023, Peer-reviewed, Corresponding author

  
• Parabolic index of an infinite graph and Ahlfors regular conformal dimension of a self-similar set

  Ryosuke Shimizu

  Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs, 18 Jan. 2021, Peer-reviewed, Corresponding author

  

Misc.

• Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces

  Riku Anttila; Sylvester Eriksson-Bique; Ryosuke Shimizu

  17 Mar. 2025

  
• First-order Sobolev spaces, self-similar energies and energy measures on the Sierpi\'{n}ski carpet (long version)

  Mathav Murugan; Ryosuke Shimizu

  04 Dec. 2024

  
• Construction of Korevaar–Schoen $p$-energy forms and associated $p$-energy measures

  Ryosuke Shimizu

  Oberwolfach Report, Nov. 2024, Invited

  
• Contraction properties and differentiability of $p$-energy forms with applications to nonlinear potential theory on self-similar sets

  Naotaka Kajino; Ryosuke Shimizu

  21 Apr. 2024

  

Presentations

• Sierpinski carpetの上の$p$-エネルギー形式と$p$-エネルギー測度の構成

  清水 良輔

  談話会(京都大学), 25 Jun. 2025, Invited

  
• Singularity of Sobolev spaces on Laakso-type fractal spaces

  Ryosuke Shimizu

  Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals, 16 Jun. 2025, Invited

  
• Laakso-type fractal space上の解析学とSobolev空間の特異性

  清水 良輔

  東北大学数学教室確率論セミナー, 06 Jun. 2025, Invited

  
• Self-similar $p$-energy form and $p$-energy measures on the Sierpinski carpet

  清水 良輔

  第48回調和解析定例セミナー, 19 Apr. 2025, Invited

  
• Singularity of Sobolev spaces on Laakso-type fractal spaces

  清水 良輔

  関西確率論セミナー, 04 Apr. 2025, Invited

  
• Self-similar $p$-energy form and $p$-energy measures on the Sierpinski carpet

  Ryosuke Shimizu

  The 3rd Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas, 22 Mar. 2025, Invited

  
• Classification of infinite graphs and parabolic index

  清水 良輔

  2024年度確率論シンポジウム, 26 Dec. 2024

  
• Sierpinski carpet上の自己相似$p$-エネルギー形式と$p$-エネルギー測度

  清水 良輔

  慶應大学非線形解析セミナー, 11 Dec. 2024, Invited

  
• Classification of infinite graphs and parabolic index

  清水 良輔

  2024年度ポテンシャル論研究集会, 07 Dec. 2024

  
• Self-similar $p$-energy forms and $p$-energy measures on the Sierpinski carpet

  清水 良輔

  大阪大学確率論セミナー, 22 Oct. 2024, Invited

  
• Self-similar $p$-energy forms and $p$-energy measures on the Sierpinski carpet

  清水 良輔

  京都大学 NLPDE セミナー, 18 Oct. 2024, Invited

  
• On singularity of p-energy measures among distinct values of p for some p.-c.f. self-similar sets

  Ryosuke Shimizu

  Analysis Seminar (University of Jyväskylä), 02 Oct. 2024, Invited

  
• Construction of self-similar energy forms and self-similar energy measures on the Sierpinski carpet

  Ryosuke Shimizu

  Fractal Geometry and Stochastics 7, 23 Sep. 2024

  
• Construction of Korevaar–Schoen $p$-energy forms and associated $p$-energy measures (short presentation)

  Ryosuke Shimizu

  Recent Developments in Dirichlet Form Theory and Related Fields, 17 Sep. 2024, Invited

  
• Self-similar $p$-energy form on the Sierpinski carpet

  Ryosuke Shimizu

  2024 Open German-Japanese Conference on Stochastic Analysis and Applications, 10 Sep. 2024

  
• Construction of Korevaar--Schoen $p$-energy forms and associated $p$-energy measures

  清水 良輔

  2024年度秋季総合分科会, 03 Sep. 2024

  
• Construction of a $p$-energy form and $p$-energy measures on the Sierpi\'{n}ski carpet

  清水 良輔

  東京大学応用解析セミナー, 18 Jul. 2024, Invited

  
• Sobolev spaces, self-similar energies and energy measures on the Sierpinski carpet

  清水 良輔

  九州確率論セミナー, 31 May 2024, Invited

  
• First-order Sobolev spaces and self-similar energies on the Sierpinski carpet

  Ryosuke Shimizu

  Geometric Analysis Seminar, 11 Mar. 2024, Invited

  
• First-order Sobolev spaces on the Sierpiński carpet

  Ryosuke Shimizu

  French Japanese Conference on Probability & Interactions, 07 Mar. 2024

  
• First-order Sobolev spaces on the Sierpinski carpet(ショートコミュニケーション)

  清水 良輔

  無限粒子系、確率場の諸問題XVIII, 20 Jan. 2024

  
• First-order Sobolev spaces on the Sierpinski carpet

  清水 良輔

  2023年度確率論シンポジウム, 26 Dec. 2023

  
• Construction of first-order Sobolev spaces on the planar Sierpiński carpet (short talk)

  Ryosuke Shimizu

  Random Interacting Systems, Scaling Limits, and Universality, 06 Dec. 2023

  
• First-order Sobolev spaces and self-similar energies on the Sierpinski carpet

  清水 良輔

  東北大学応用数理解析セミナー, 02 Nov. 2023, Invited

  
• Construction and regularity of first-order Sobolev spaces on the planar Sierpiński carpet

  清水 良輔

  2023年度秋季総合分科会, 22 Sep. 2023

  
• First-order Sobolev spaces on the Sierpiński carpet

  Ryosuke Shimizu

  Stochastic Processes and Related Fields, 07 Sep. 2023

  
• Construction of Sobolev spaces and energies on the Sierpinski carpet

  清水 良輔

  東京確率論セミナー, 17 Apr. 2023, Invited

  
• Construction of a canonical $p$-energy on the Sierpiński carpet for all $p > 1$

  Ryosuke Shimizu

  Geometric and Stochastic analysis on metric space, 14 Mar. 2023, Invited

  
• Nonlinear potential theory on the Sierpiński carpet

  Ryosuke Shimizu

  Analysis and geometry of fractals and metric spaces: Recent developments and future prospects, 09 Mar. 2023, Invited

  
• Construction of a canonical $p$-energy on the Sierpiński carpet (short talk)

  Ryosuke Shimizu

  Smooth Functions on Rough Spaces and Fractals with Connections to Curvature Functional Inequalities, 24 Nov. 2022, Invited

  
• 自己相似集合上の$p$-エネルギー形式の構成

  清水 良輔

  第43回発展方程式若手セミナー, 06 Sep. 2022

  
• Construction of $p$-energies and $p$-forms on fractals

  清水 良輔

  2022年度確率論ヤングサマーセミナー, 02 Sep. 2022

  
• Construction of a canonical $p$-energy on the Sierpiński carpet (short talk)

  Ryosuke Shimizu

  PIMS-CRM Summer School in Probability 2022, 09 Jun. 2022

  
• Construction of a canonical $p$-energy on the Sierpiński carpet (short talk)

  Ryosuke Shimizu

  Analysis on Metric Spaces Workshop 2022, 27 May 2022, Invited

  
• Construction of a canonical $p$-energy on the Sierpinski carpet (ショートコミュニケーション)

  清水 良輔

  Geometry and Probability 2021, 16 Mar. 2022

  
• Construction of a canonical $p$-energy on the Sierpinski carpet: $p >$ Ahlfors-regular conformal dimension (ショートトーク)

  清水 良輔

  2021年度 冬の力学系研究集会, 08 Jan. 2022

  
• Construction of a canonical $p$-energy on the Sierpiński carpet

  清水 良輔

  2021年度確率論シンポジウム, 16 Dec. 2021

  
• Construction of a canonical $p$-energy on the Sierpinski carpet

  清水 良輔

  関西確率論セミナー, 03 Dec. 2021, Invited

  
• Construction of a canonical $p$-energy on the Sierpiński carpet

  Ryosuke Shimizu

  Quasiworld, 20 Oct. 2021, Invited

  
• フラクタル上の非線形ポテンシャル論の構成

  清水 良輔

  2021年度秋季総合分科会, 14 Sep. 2021

  
• フラクタル上の非線形ポテンシャル論の構成

  清水 良輔

  第55回 函数論サマーセミナー, 12 Sep. 2021

  
• フラクタル上の非線形ポテンシャル論の構成

  清水 良輔

  2021年度確率論若手セミナー・オンライン, 24 Aug. 2021

  
• A non-linear potential theoretic aspect of Ahlfors regular conformal dimension

  清水 良輔

  確率論早春セミナー 2020, 18 Feb. 2020, Invited

  
• A non-linear potential theoretic aspect of Ahlfors regular conformal dimension

  清水 良輔

  第11回 白浜研究集会, 11 Dec. 2019

  
• A non-linear potential theoretic aspect of Ahlfors regular conformal dimension

  清水 良輔

  確率論ヤングサマーセミナー2019, 28 Aug. 2019

  
• Generalized resistance metrics on graphs

  Ryosuke Shimizu

  Kobe Workshop on Probabilistic Potential Theory and Related Fields, 07 May 2019, Invited

  
• Hyperbolic Approximation (ショートトーク)

  清水 良輔

  確率論サマースクール2018, 28 Aug. 2018

  

Awards

• 04 Sep. 2024

  日本数学会賞建部賢弘奨励賞

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Exercises in Basic Analysis

  2107, Fall, Faculty of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2