UBC Probability Seminar: Tyler Helmuth

  • Date: 09/13/2023
  • Time: 15:00
Tyler Helmuth, Durham University

University of British Columbia


Directed Spatial Permutations on Asymmetric Tori


Random permutations show up in a variety of areas inmathematics and its applications. In connection with physical applications (e.g., the lambda transition for superfluid helium), there is an interest in random spatial permutations -- that is, laws on permutations that have a 'geometric bias'. There are compelling heuristic arguments that this spatial bias has little effect on the distribution of the largest cycles of a random spatial permutation, provided that large cycles actually exist. I'll discuss a particular model of random spatial permutations (directed permutations on asymmetric tori) where these heuristics can be made precise, and large cycles can be shown to follow the expected (Poisson-Dirichlet) law.


Based on joint work with Alan Hammond.

Other Information: 

Location: ESB 2012

Time: 3pm PacificĀ