Research

Publications Preprints

Publications

  1. The period group of a characteristic function (joint work with Ryoki Fukushima, Nobuo Yoshida). Real Analysis Exchange.  Volume 47 (2022) No. 2, 323-332
  2. Fluctuations of two-dimensional stochastic heat equation and KPZ equation in subcritical regime for general initial conditions (joint work with Shuta Nakajima), Electronic Journal of Probability. Volume 28: 1-38 (2023).
  3. Law of large numbers and fluctuations in the sub-critical and $L^2$ regions for SHE and KPZ equation in dimension $d\geq 3$ (joint work with Clément Cosco, Shuta Nakajima). Stochastic Processes and their Applications , Volume 151, (2022), 127-173.
  4. Free energy of directed polymer in random environment in 1+1-dimension at high temperature. Electronic Journal of Probability. Volume 24 (2019), no. 50, 43 pp.
  5. The free energy of random walk pinning model. Stochastic Processes and their Applications. Volume 128, Issue 2, (2018), 373-403
  6. Branching random walks in random environment and super-Brownian motion in random environment. Annales de l’Institut Henri Poincare (B) Probability and Statistics, Volume 51, Number 4, (2015), 1251-1289
  7. A remark on the bound for the free energy of directed polymers in random environment in 1+2 dimension. Journal of Mathematical Physics. Volume 55, Number 9, (2014)
  8. Minimal Positions of Branching Random Walks in Random Environment, Journal of Theoretical Probability, Volume 26, Number 4, (2013), 1181-1217
  9. Lower deviations of branching processes in random environment with geometrical offspring distribution, Stochastic Processes and their Applications, Volume 123, Number 9, (2013), 3560-3587
  10. A Remark on Localization for Branching Random Walks in Random Environment (joint work with Hadrian Heil), Electronic Communications in Probability, Volume 16, (2011), 323-336,
  11. Branching Random Walks in Random Environment are Diffusive in the Regular Growth Phase (joint work with Hadrian Heil, Nobuo Yoshida), Electronic Journal of Probability, Volume 16, (2011), 1318-1340
  12. Almost sure central limit theorem for branching random walks in random environment, Annals of Applied Probability, Volume 21, Number 1, (2011), 351-373
  13. Central Limit Theorems for Linear Stochastic Evolutions. Journal of Mathematics of Kyoto University, Volume 49, Number 1, (2009), 201-224

Preprints

  1. Stochastic quantization of the three-dimensional polymer measure via the Dirichlet form method, (joint work with Sergio Albeverio, Seiichiro Kusuoka, Song Liang), (2023), arXiv:2311.05797 
  2. Two-sided bounds on free energy of directed polymers on strongly recurrent graphs, (joint work with Naotaka Kajino, Kosei Konishi), (2020), arXiv:2010.12312 
Notes
  1. Note on almost sure central limit theorem for branching Brownian motion in random environment. pdf 
  2. ランダム媒質中のディレクティドポリマー: 2018年度東北大学集中講義(確率過程論特選)講義ノート pdf,  2019年に出版された論文に関する内容を扱っている.  
Conferences & Meetings
  1. 確率論早春セミナー
  2. 確率論ヤングサマーセミナー 2020: 新型コロナウイルスのため開催を中止いたしました.
  3. 確率論若手セミナー