Takahiro Mori's website

Preprints

• Kazuhiro Kuwae, Takahiro Mori,
  $L^p$-Green-tight measures of $L^p$-Kato class for symmetric Markov processes.
  arXiv:2011.00762

Refereed Papers

1. [4] Takahiro Mori,
   Large deviation principle for the intersection measure of Brownian motions on unbounded domains.
   Annales de l’Institut Henri Poincaré, (2023).
   DOI arXiv:2005.09219
2. [3] Kazuhiro Kuwae, Takahiro Mori,
   $L^p$-Kato class measures for symmetric Markov processes under heat kernel estimates.
   Mathematische Annalen (2021).
   DOI arXiv:2008.10934
3. [2] Takahiro Mori,
   $L^p$-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces.
   Journal of Functional Analysis 281 (2021), no. 3.
   DOI arXiv:2005.13758
4. [1] Takahiro Mori,
   Large deviations for intersection measures of some Markov processes.
   Mathematische Nachrichten 293 (2020), no. 3, 533--553.
   DOI arXiv:1805.07945 (detailed version)

Other Publications

(in Japanese)

• Takahiro Mori,
  $L^p$-Kato測度とDirichlet空間のSobolev埋め込みとの 関係について.
  京都大学数理解析研究所講究録 2177 (2021), 141--146. Link

Talks

• Asymptotic behaviors of intersection measures,
  The 5th KTGU Mathematics Workshop for Young Researchers, Kyoto University, Japan (February 7, 2020).

(in Japanese)

• Interpretation of capacity by Markov processes starting from infinity,
  マルコフ過程とその周辺, テルサ福島 (February 18, 2023).
• 非有界領域上のブラウン運動に対するintersection measureの大偏差原理,
  関西大学確率論セミナー, 関西大学&オンライン講演 (June 11, 2022).
• $L^p$-Kato class measures for symmetric Markov processes under heat kernel estimates,
  Geometry and Probability 2021, 東北大学&オンライン講演 (March 17, 2022).
• $L^p$-Green-tightness for symmetric Markov processes and its application to the intersection measures,
  マルコフ過程とその周辺, 熊本大学&オンライン講演 (March 4, 2022).
• $L^p$-Kato class measures and their $L^p$-Green-tightness for symmetric Markov processes,
  九州確率論セミナー, オンライン講演 (January 7, 2022).
• Large deviation principle for the intersection measure of Brownian motions on unbounded domains,
  The 19th Symposium Stochastic Analysis on Large Scale Interacting Systems, オンライン講演 (December 9, 2021).
• Analysis of $L^p$-Kato class measures for symmetric Markov processes,
  確率解析とその周辺, オンライン講演 (November 4, 2021).
• Capacity, excursion around infinity and random interlacements,
  確率論若手セミナー・オンライン, オンライン講演 (August 23, 2021).
• $L^p$-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces,
  関西大学確率論セミナー, オンライン講演 (May 22, 2021).
• 補間理論を用いたDirichlet空間の解析の展望,
  IMI共同利用研究 実社会に見られる複雑なネットワークと無限粒子系の交差点, オンライン講演 (February 22, 2021).
• $L^p$-Kato class measures and their relations with Sobolev embedding theorems,
  確率論シンポジウム, オンライン講演 (December 24, 2020).
• $L^p$-Kato class measures and their relations with Sobolev embedding theorems,
  大阪大学確率論セミナー, オンライン講演 (November 10, 2020).
• p-Kato測度とSobolev埋蔵定理,
  確率論若手セミナー・オンライン, オンライン講演 (September 9, 2020).
• マルコフ過程の交差測度に対する大偏差原理,
  東京確率論セミナー, 慶應義塾大学 (November 25, 2019).
• Asymptotic behaviors of intersection measures,
  The 18th Symposium Stochastic Analysis on Large Scale Interacting Systems, Osaka University (November 7, 2019).
• Large deviations for intersection measures of some Markov processes,
  関西確率論セミナー, 京都大学 (June 22, 2018).

Links

• Kyoto Institute of Technology
• Research Institute for Mathematical Sciences (RIMS)
• ORCID
• ResearchGate
• researchmap (My CV is here.)

Contact information

Takahiro Mori (森 隆大)
Assistant Professor