Limit distributions of the number of cycles of given length in a random permutation with given number of cycles

E. V. Cherepanova

doi:10.1515/156939203322694772

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Limit distributions of the number of cycles of given length in a random permutation with given number of cycles

E. V. Cherepanova

Published/Copyright: October 1, 2003

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From the journal Volume 13 Issue 5

We give a complete description of the limit behaviour of the number of cycles of length r in a random permutation of degree n with N cycles in all domains of variations of the parameters n, N, r, thus essentially extending the known results concerning the limit behaviour of the number of such cycles.

Published Online: 2003-10-01

Published in Print: 2003-10-01

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Articles in the same Issue

Collectives of automata in labyrinths
On the complexity of the string generation problem
On complexity of realisation of linear Boolean functions by circuits of functional elements over the basis {x → y, }
On special properties of a composition of automata
Limit distributions of the number of cycles of given length in a random permutation with given number of cycles
Emergence of a giant component in a random permutation with given number of cycles

https://doi.org/10.1515/156939203322694772

Articles in the same Issue

Collectives of automata in labyrinths
On the complexity of the string generation problem
On complexity of realisation of linear Boolean functions by circuits of functional elements over the basis {x → y, }
On special properties of a composition of automata
Limit distributions of the number of cycles of given length in a random permutation with given number of cycles
Emergence of a giant component in a random permutation with given number of cycles