Jakob Björnberg

Carlos Argaez Garcia, November 26, 2019

Staðsetning: HB5 (Háskólabíó)
Tími: Föstudag 6.Desember kl.11:40

Math Phys seminar

Speakers: Jakob Björnberg, Chalmers University of Technology

Title: Random permutations and Heisenberg models.

Room: HB5 (Háskólabíó)
Time: Friday 6th December  11:40hrs

Abstract:

We discuss probabilistic representations of certain quantum spin systems, including the ferromagnetic Heisenberg model, in terms of random permutations. Properties of the cycle structure of the random permutations are connected with phase transitions in the spin-system.  In particular, it is expected that the cycle structure converges to a distribution known as Poisson–Dirichlet, in the limit of large systems.  This problem is open but we present some partial progress.