Journal
ELECTRONIC JOURNAL OF PROBABILITY
Volume 16, Issue -, Pages 1173-1192Publisher
UNIV WASHINGTON, DEPT MATHEMATICS
DOI: 10.1214/EJP.v16-901
Keywords
Spatial random permutations; cycle weights; Poisson-Dirichlet distribution
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Funding
- EPSRC [EP/D07181X/1, EP/G056390/1]
- EPSRC [EP/G056390/1, EP/D07181X/1] Funding Source: UKRI
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We study spatial permutations with cycle weights that are bounded or slowly diverging. We show that a phase transition occurs at an explicit critical density. The long cycles are macroscopic and their cycle lengths satisfy a Poisson-Dirichlet law.
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