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Communications in Mathematical Physics

, Volume 285, Issue 2, pp 469–501 | Cite as

Spatial Random Permutations and Infinite Cycles

  • Volker Betz
  • Daniel Ueltschi
Article

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.

Keywords

Point Process Critical Density Occupation Number Fourier Mode Spatial Permutation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WarwickCoventryEngland

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