On Some Densities in the Set of Permutations

The asymptotic density of random permutations with given properties of the $k$th shortest cycle length is examined. The approach is based upon the saddle point method applied for appropriate sums of independent random variables.

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Veröffentlicht in:The Electronic journal of combinatorics 2010-07, Vol.17 (1)
1. Verfasser: Manstavičius, Eugenijus
Format: Artikel
Sprache:eng
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Zusammenfassung:The asymptotic density of random permutations with given properties of the $k$th shortest cycle length is examined. The approach is based upon the saddle point method applied for appropriate sums of independent random variables.
ISSN:1077-8926
1077-8926
DOI:10.37236/372