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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
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: |
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| 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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