Stefan Junk Ph.D.

職名 助教
グループ 数学連携グループ
研究室 水藤寛研究室(新しいタブで開きます)
E-Mail sjunk@tohoku.ac.jp
関連サイト

研究テーマ

The main focus of my research is probability theory, specifically its applications to problems from mathematical physics and material science:

  • The directed polymer model and first/last passage percolation.
  • (Branching) random walks in random environment.
  • Oriented percolation.
  • The random conductance model, and the Mott random walk in particular.

主要業績

  • A branching random walk among disasters, with Nina Gantert. Electronic Journal of Probability, 2017. (Journal (will open in a new tab), arXiv (will open in a new tab))
  • Zero temperature limit for the Brownian directed polymer among Poissonian disasters, with Ryoki Fukushima. Annals of Applied Probability, 2019. (Journal (will open in a new tab), arXiv (will open in a new tab))
  • Anomalous scaling regime for one-dimensional Mott variable-range hopping, with David Croydon and Ryoki Fukushima. (arXiv (will open in a new tab), short video summary (will open in a new tab)).
  • Number of paths in oriented percolation as zero temperature limit of directed polymer, with Ryoki Fukushima. (arXiv (will open in a new tab)).
  • New characterization of the weak disorder phase of directed polymers in bounded random environments. (arXiv (will open in a new tab)).