[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
[7] (jointly with M. Sobajima) Subcriticality of subordinated Schr\"{o}dinger operators and their application to wave equations, arXiv
[6] (jointly with T. Uemura and K. Tsuchida) Smooth measures and positive continuous additive functionals attached to a compact nest, arXiv
[5] Homeomorphism of the Revuz correspondence for finite energy integrals, Stochastic Processes and their Applications, 191, no.104787 (2026), article, arXiv
[4] Convergence of processes time-changed by Gaussian multiplicative chaos, Potential Analysis, 63 (2025), pp.1253–1287, article, arXiv
[3] (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
[2] Markov properties for Gaussian fields associated with Dirichlet forms, Osaka Journal of Mathematics, 60 (2023), pp.579-595. article, arXiv
[1] Heat kernel estimates on spaces with varying dimension, Tohoku Mathematical Journal, 74 (2022), pp.165-194. article, arXiv
[3] Liouville Brownian motion and Liouoville Cauchy process, Oberwolfach Reports, No.42 (2024), pp.34-36. article
[2] 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
[1] 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
[12] Characterization and continuity of the Revuz correspondence via killing of processes, Random Geometry and Topology and Related Topics, RIMS, Kyoto University, September 30, 2025.
[11] Homeomorphism of the Revuz correspondence for finite energy integrals, Third China-Japan-Korea Joint Probability Workshop, RIMS, Kyoto University, May 8, 2025.
[10] 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.
[9] Liouville Brownian motion and Liouville Cauchy process, Dirichlet forms and related topics, Kansai University, August 24, 2024.
[8] 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.
[7] 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.
[6] Convergence of processes time-changed by GMC (short talk), Mathematics of Random Systems: Summer School 2023, RIMS, Kyoto university, September 14, 2023.
[5] Convergence of processes time-changed by Gaussian multiplicative chaos (poster), Stochastic Processes and Related Fields, RIMS, Kyoto university, September 7, 2023.
[4] Convergence of processes time-changed by GMC (poster), 43rd Conference on Stochastic Processes and their Applications, Universidade de Lisboa, July 27, 2023.
[3] Convergence of some time-changed processes by GMC, Geometric and Stochastic analysis on metric spaces, Kyoto university, March 13, 2023.
[2] Convergence of time-changed α-stable processes by GMC, Probability and Analysis on Random Structures and Related Topics, Kyoto University, August 9, 2022.
[1] 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.
[27] Characterization and continuity of the Revuz correspondence via killing of processes, 確率論・幾何学・数値解析の情報交換会, 大濱信泉記念館, March 29, 2026.
[26] Characterization and continuity of the Revuz correspondence via killing of processes, マルコフ過程とその周辺, 奈良商工会議所, March 18, 2026.
[25] Characterization and continuity of the Revuz correspondence via killing of processes, 2025年度確率論シンポジウム, 放送大学 熊本学習センター, December 19, 2025.
[24] Characterization and continuity of the Revuz correspondence via killing of processes, 関西大学 確率論研究会2025, 関西大学, December 6, 2025.
[23] Homeomorphism of the Revuz correspondence for finite energy integrals, 日本数学会分科会, 名古屋大学, September 16, 2025.
[22] Homeomorphism of the Revuz correspondence for finite energy integrals, 大阪大学確率論セミナー, 大阪大学, July 29, 2025.
[21] Homeomorphism of the Revuz correspondence for finite energy integrals, 関西大学確率論セミナー, 関西大学, May 10, 2025.
[20] On convergence of Revuz measures of finite energy integrals, ディリクレ形式とその周辺, 関西大学, March 27, 2025.
[19] 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.
[18] 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.
[17] Dynkin games for Markov processes, 日本数学会2024年度年会, 大阪公立大学, March 18, 2024.
[16] 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.
[15] Convergence of processes time-changed by GMC, Dirichlet Forms and Related Topics, 広島大学, September 1, 2023.
[14] 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.
[13] Convergence of some time-changed processes by GMC, 7th Camp on Homogenization and its Related Topics, 東北大学, March 28 & 29, 2023.
[12] 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.
[11] Convergence of some time-changed processes by GMC, 九州確率論セミナー, 九州大学, January 20, 2023.
[10] 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.
[ 9 ] 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.
[ 8 ] 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.
[ 7 ] 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.
[ 6 ] 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.
[ 5 ] 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.
[ 4 ] 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.
[ 3 ] 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.
[ 2 ] 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.
[ 1 ] 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