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Spatial random permutations and infinite cycles

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Betz, Volker and Ueltschi, Daniel (2009) Spatial random permutations and infinite cycles. Communications in Mathematical Physics, Vol.285 (No.2). pp. 469-501. doi:10.1007/s00220-008-0584-4

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Official URL: http://dx.doi.org/10.1007/s00220-008-0584-4

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Abstract

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.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Communications in Mathematical Physics
Publisher: Springer
ISSN: 0010-3616
Official Date: January 2009
Dates:
DateEvent
January 2009Published
Volume: Vol.285
Number: No.2
Number of Pages: 33
Page Range: pp. 469-501
DOI: 10.1007/s00220-008-0584-4
Status: Peer Reviewed
Publication Status: Published
Funder: Engineering and Physical Sciences Research Council (EPSRC), National Science Foundation (U.S.) (NSF)
Grant number: EP/D07181X/1 (EPSRC), DMS-0601075 (NSF)

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