[:is] Math Phys seminar
Fyrirlesari: Jakob Björnberg, Chalmers University of Technology
Titill: Random permutations and Heisenberg models.
Ágrip:
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. [:en]
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. [:]