[日本語/English]
Takumu Ooi (大井拓夢)
Assistant Professor at Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science
Research interests : probability theory, in particular, Dirichlet forms, Gaussian fields and Gaussian multiplicative chaos
・On convergence of Revuz measures of finite energy integrals, arXiv
・Convergence of processes time-changed by Gaussian multiplicative chaos, to appear in Potential Analysis arXiv
・(jointly with T. Uemura) Variational inequalities and Dynkin games for Markov processes associated with semi-Dirichlet forms, Illinois Journal of Mathematics, 68 (2024), pp.781-799. article, arXiv
・Markov properties for Gaussian fields associated with Dirichlet forms, Osaka Journal of Mathematics, 60 (2023), pp.579-595. article, arXiv
・Heat kernel estimates on spaces with varying dimension, Tohoku Mathematical Journal, 74 (2022), pp.165-194. article, arXiv
・Liouville Brownian motion and Liouoville Cauchy process, Oberwolfach Reports, No.42 (2024), pp.34-36. article
・Scaling limit of Liouville simple random walk on Z^2, Scientific reports on activities at IMS, National University of Singapore, 1 (2023), pp.47-48. article
・Convergence of time-changed α-stable processes by GMC (in Japanese), 京都大学数理解析研究所講究録, 2246 (2023), pp.92-96. article
・Liouville Brownian motion and Liouville Cauchy process (short talk), Oberwolfach Workshop: Recent Developments in Dirichlet Form Theory and Related Fields, Mathematisches Forschungsinstitut Oberwolfach, September 17, 2024.
・Liouville Brownian motion and Liouville Cauchy process, Dirichlet forms and related topics, Kansai University, August 24, 2024.
・Scaling limit of Liouville simple random walk on the 2-dimensional lattice, NYU Shanghai-Kyoto-Waseda Young Probabilistsʼ Meeting, RIMS, Kyoto university, May 9, 2024.
・Scaling limit of Liouville simple random walk on Z^2 (short talk), Random Interacting Systems, Scaling Limits, and Universality, Institute for Mathematical Sciences, National University of Singapore, December 6, 2023.
・Convergence of processes time-changed by GMC (short talk), Mathematics of Random Systems: Summer School 2023, RIMS, Kyoto university, September 14, 2023.
・Convergence of processes time-changed by Gaussian multiplicative chaos (poster), Stochastic Processes and Related Fields, RIMS, Kyoto university, September 7, 2023.
・Convergence of processes time-changed by GMC (poster), 43rd Conference on Stochastic Processes and their Applications, Universidade de Lisboa, July 27, 2023.
・Convergence of some time-changed processes by GMC, Geometric and Stochastic analysis on metric spaces, Kyoto university, March 13, 2023.
・Convergence of time-changed α-stable processes by GMC, Probability and Analysis on Random Structures and Related Topics, Kyoto University, August 9, 2022.
・Convergence of time-changed α-stable processes by GMC (short talk), 2022 PIMS-CRM Summer School in Probability, The University of British Columbia, June 20, 2022.
・Liouville Brown運動とLiouville Cauchy過程, 東京確率論セミナー, 東京大学, July 29, 2024.
・Liouville Brown運動とLiouville Cauchy過程, 筑波大学解析セミナー, 筑波大学, July 4, 2024.
・Dynkin games for Markov processes, 日本数学会2024年度年会, 大阪公立大学, March 18, 2024.
・Dynkin games for Markov processes, 2023年度マルコフ過程とその周辺, 天文館ビジョンホール, February 17, 2024.
・Convergence of processes time-changed by GMC, Dirichlet Forms and Related Topics, 広島大学, September 1, 2023.
・Dynkin games for Markov processes, 2023年度確率論ヤングサマーセミナー, 京都産業大学, August 31, 2023.
・Convergence of some time-changed processes by GMC, 7th Camp on Homogenization and its Related Topics, 東北大学, March 28 & 29, 2023.
・Convergence of time-changed α-stable processes by GMC, 日本数学会2023年度年会, 中央大学, March 15, 2023.
・Convergence of some time-changed processes by GMC, 九州確率論セミナー, 九州大学, January 20, 2023.
・Convergence of time-changed α-stable processes by GMC, 2022年度確率論シンポジウム, 京都大学 数理解析研究所, December 22, 2022.
・Convergence of time-changed α-stable processes by GMC, 関西大学確率論研究会2022, 関西大学, November 13, 2022.
・Tightness of time-changed α-stable processes by GMC, 2022年度確率論ヤングサマーセミナー, 京都大学, August 29, 2022.
・Tightness of time-changed α-stable processes by GMC, 大阪大学確率論セミナー, 大阪大学, July 26, 2022.
・The Markov property and the strong Markov property for Gaussian fields associated with Dirichlet forms, マルコフ過程とその周辺, Online, March 5, 2022.
・Dirichlet形式を共分散とするガウス場のマルコフ性と強マルコフ性, 関西大学確率論セミナー, 関西大学, January 15, 2022.
・時間変更過程の収束と緊密性について (ポスター発表), 異分野・異業種研究交流会, Online, November 13, 2021.
・Convergence of time-changed processes, 2021年度確率論若手セミナー・オンライン, Online, August 24, 2021.
・Heat kernel estimates on spaces with varying dimension, 2020年度確率論若手セミナー・オンライン, Online, September 9, 2020.
・Heat kernel estimates on spaces with higher varying dimension (ショートコミュニケーション), 2019年度確率論シンポジウム, 慶応義塾大学, December 18, 2019.
Takumu Ooi (大井拓夢)
Address: Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science, 2641 Yamazaki, Noda-shi, Chiba prefecture, 278-8510, Japan
E-mail: ooitaku (at) rs.tus.ac.jp