Journal
RANDOM STRUCTURES & ALGORITHMS
Volume 44, Issue 1, Pages 109-133Publisher
WILEY
DOI: 10.1002/rsa.20430
Keywords
random permutations; Ewens distribution; cycle weights; cycle structure
Funding
- National Science Foundation [DMS-0808059]
- Engineering and Physical Sciences Research Council [EP/G056390/1]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1212167] Funding Source: National Science Foundation
- Engineering and Physical Sciences Research Council [EP/G056390/1] Funding Source: researchfish
- EPSRC [EP/G056390/1] Funding Source: UKRI
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We investigate the typical cycle lengths, the total number of cycles, and the number of finite cycles in random permutations whose probability involves cycle weights. Typical cycle lengths and total number of cycles depend strongly on the parameters, while the distributions of finite cycles are usually independent Poisson random variables.Copyright (c) 2012 Wiley Periodicals, Inc. Random Struct. Alg., 44, 109-133, 2014
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