Asymptotic distributions of the number of restricted cycles in a random permutation
Articles
Tatjana Kargina
Vilnius University
Published 2009-12-20
https://doi.org/10.15388/LMR.2009.75
PDF

Keywords

symmetric group
weak convergence
factorial moments
convergence of moments
Ewens probability

How to Cite

Kargina T. (2009) “Asymptotic distributions of the number of restricted cycles in a random permutation”, Lietuvos matematikos rinkinys, 50(proc. LMS), pp. 420–425. doi: 10.15388/LMR.2009.75.

Abstract

The value distribution of additive functions defined on the symmetric group with respect to the Ewens probability is examined. For the number of cycles with restricted lengths, we establish necessary and sufficient conditions under which the distributions converge weakly to a limit law.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy