Jakob Björnberg

Carlos Argaez Garcia, nóvember 26, 2019

Math Phys seminar

Fyrirlesari: Jakob Björnberg, Chalmers University of Technology

Titill: Random permutations and Heisenberg models.


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.