Large cycles in random permutations related to the Heisenberg model
Journal article, 2015

We study the weighted version of the interchange process where a permutation receives weight theta(#cycles). For theta = 2 this is Toth's representation of the quantum Heisenberg ferromagnet on the complete graph. We prove, for theta > 1, that large cycles appear at 'low temperature'.

Heisenberg model

Interchange process

Phase-Transition

Author

Jakob Björnberg

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematical Statistics

Electronic Communications in Probability

1083-589X (ISSN)

Vol. 20 artikel nr 55-

Subject Categories

Mathematics

Other Physics Topics

DOI

10.1214/ECP.v20-4328

More information

Latest update

5/2/2018 1