Stefan Junk Ph.D.

Job Assistant Professor
Group Mathematical Science Group
Laboratory H. Suito Laboratory (will open in a new tab)
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Research Interests

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.

Main Publication List

  • 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)).