Basic Information

Faculty

• 理学部 理学部

Academic Degree

• 修士（理学）(京都大学)
• 博士（理学）(京都大学)

ID,URL

• J-Global ID

  201401019209889600

researchmap URL

• https://researchmap.jp/0150

Research

Research Areas

• Natural sciences, Basic analysis

Papers

• On Brownian motion, simple paths, and loops

  Artem Sapozhnikov; Daisuke Shiraishi

  Probability Theory and Related Fields, Dec. 2018

  
• A random walk on a non-intersecting two-sided random walk trace is subdiffusive in low dimensions

  Daisuke Shiraishi

  Transactions of the American Mathematical Society, 16 Mar. 2018

  
• Growth exponent for loop-erased random walk in three dimensions

  Daisuke Shiraishi

  The Annals of Probability, 01 Mar. 2018

  
• Exact value of the resistance exponent for four dimensional random walk trace

  Daisuke Shiraishi

  PROBABILITY THEORY AND RELATED FIELDS, Jun. 2012, Peer-reviewed

  
• Two-sided random walks conditioned to have no intersections

  Daisuke Shiraishi

  ELECTRONIC JOURNAL OF PROBABILITY, Feb. 2012, Peer-reviewed

  
• Non-intersecting random walks in low dimensions

  Daisuke Shiraishi

  2012. 8.27, 2012, Peer-reviewed

  
• Heat kernel for random walk trace on Z(3) and Z(4)

  Daisuke Shiraishi

  ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, Nov. 2010, Peer-reviewed

  

External funds: Kakenhi

• Study of Analysis and Geometry of complex spaces

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  木上 淳

  From 01 Apr. 2021, To 31 Mar. 2024, Granted

  フラクタル;拡散過程;熱核;ラプラシアン

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H00989/
• On trace of Brownian motion and related models from statistical physics

  Grant-in-Aid for Early-Career Scientists

  Basic Section 12010:Basic analysis-related

  Kyoto University

  Daisuke Shiraishi

  From 01 Apr. 2018, To 31 Mar. 2023, Project Closed

  ランダムウォーク;一様全域木;スケール極限;ブラウン運動

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K13425/
• Analysis and geometry of fractals and stochastic processes on them from field-transverse viewpoints

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University;Kobe University

  Naotaka KAJINO

  From 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

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18H01123/
• Relation between structure of spaces and analysis

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  JUN KIGAMI

  From 01 Apr. 2017, To 31 Mar. 2020, Project Closed

  フラクタル;熱核;距離空間;力学系;Harnack 不等式;等角次元;ラプラシアン;解析学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H02849/
• On structure of random walk traces

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Daisuke Shiraishi

  From 01 Apr. 2013, To 31 Mar. 2017, Project Closed

  ランダムウォーク;ブラウン運動;ループ除去ランダムウォーク;非マルコフ過程;Loop-erased random walk

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25800064/
• ランダムウォークの軌跡に関連する諸問題の研究

  Grant-in-Aid for Scientific Research (C)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  白石 大典

  From 01 Apr. 2022, To 31 Mar. 2025, Granted

  ランダムウォーク

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22K03336/
• Analysis, geometry and their interplays on fractals and stochastic processes on them

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto 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

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22H01128/
• Analysis, geometry and their interplays on fractals and stochastic processes on them

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto 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;フラクタル上の確率過程;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

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K22399/

Education

Teaching subject(s)

• From 01 Apr. 2024, To 31 Mar. 2025

  Topics in Nonlinear Analysis B

  3355, Fall, Graduate School of Informatics, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Topics in Applied Analysis II

  3363, Fall, Graduate School of Informatics, 1
• From 01 Apr. 2024, To 31 Mar. 2025

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Analysis 2

  3304, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Analysis 1

  3303, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2023, To 31 Mar. 2024

  Topics in Nonlinear Analysis A

  3353, Fall, Graduate School of Informatics, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Calculus I - Vector Calculus

  N124, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Topics in Applied Analysis II

  3363, Fall, Graduate School of Informatics, 1
• From 01 Apr. 2023, To 31 Mar. 2024

  Graduate Lecture in Probability Theory

  0405, Spring, Graduate School of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Probability Theory

  4107, Spring, Faculty of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Analysis 2

  3304, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Analysis 1

  3303, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Analysis 1

  3303, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Topics in Nonlinear Analysis B

  3355, Fall, Graduate School of Informatics, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Topics in Nonlinear Analysis A

  3353, Fall, Graduate School of Informatics, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Elementary Probability

  N131, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Advanced Calculus I - Vector Calculus

  N124, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Analysis 2

  3304, Year-long, Graduate School of Informatics, 4
• From Apr. 2013, To Mar. 2014

  Exercises in Analysis I

  Spring, 理学部
• From Apr. 2013, To Mar. 2014

  Advanced Calculus I - Vector Calculus

  Spring, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Exercises in Analysis I

  Spring, 理学部
• From Apr. 2014, To Mar. 2015

  Advanced Analysis I

  Spring, 理学部
• From Apr. 2014, To Mar. 2015

  Topics in Analysis A

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Exercises in Basic Analysis

  Fall, 理学部
• From Apr. 2017, To Mar. 2018

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2017, To Mar. 2018

  Advanced Study in Mathematical Sciences II

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Advanced Study in Mathematical Sciences I

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Mathematical Statistics

  Fall, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Elementary Probability

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Exercises in Analysis II

  Fall, 理学部
• From Apr. 2017, To Mar. 2018

  Topics in Nonlinear Analysis A

  Fall, 情報学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2018, To Mar. 2019

  Topics in Applied Analysis II

  Fall, 情報学研究科
• From Apr. 2018, To Mar. 2019

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2018, To Mar. 2019

  Elementary Probability

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Topics in Nonlinear Analysis B

  Fall, 情報学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2019, To Mar. 2020

  Topics in Applied Analysis II

  Fall, 情報学研究科
• From Apr. 2019, To Mar. 2020

  Elementary Probability

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Topics in Nonlinear Analysis A

  Fall, 情報学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Analysis 2

  Year-long, 情報学研究科
• From Apr. 2020, To Mar. 2021

  Special study course (Mathematical Science)

  Year-long, 理学部
• From Apr. 2020, To Mar. 2021

  Elementary Probability

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Topics in Nonlinear Analysis B

  Fall, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Analysis 2

  Year-long, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Forefront of Mathematics and Mathematical Science I

  Spring, 理学部
• From Apr. 2021, To Mar. 2022

  Probability Theory

  Spring, 理学部
• From Apr. 2021, To Mar. 2022

  Elementary Probability

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Graduate Lecture in Probability Theory

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Topics in Nonlinear Analysis A

  Fall, 情報学研究科

Participation in PhD Defense

• Random walk on uniform spanning tree and loop-erased random walk

  Satomi Watanabe, Graduate School of Informatics, Chief Examiner

  25 Mar. 2024
• Construction of p-energy and associated energy measures on the Sierpi？ski carpet

  SHIMIZU RYOSUKE, Graduate School of Informatics, Sub-chief Examiner

  26 Sep. 2022

Part-time lecturer

• From 01 Apr. 2023, To 30 Sep. 2023

  数学特別講義C、確率過程論特論、応用数理特殊講義EⅢ

  前記, 国立大学法人東北大学大学院, 理学研究科

Administration

Faculty management (title, position)

• From 01 Apr. 2021, To 31 Mar. 2023

  図書WG委員