Spatial random permutations and infinite cycles

Details Spatial random permutations and infinite cycles Spatial random permutations and infinite cycles

2007-11-08

arxiv.org/abs/0711.1188v2

Commun. Math. Phys. 285, 469-501 (2009)

Physics

Mathematical Physics

31 pages

Scientific paper

10.1007/s00220-008-0584-4

We consider systems of spatial random permutations, where permutations are
weighed according to the point locations. Infinite cycles are present at high
densities. The critical density is given by an exact expression. We discuss the
relation between the model of spatial permutations and the ideal and
interacting quantum Bose gas.

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