Open AccessAsymptotic distributions of the number of restricted cycles in a random permutation
Author(s) -
Tatjana Kargina
Publication year - 2009
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2009.75
Subject(s) - mathematics , random permutation , law of large numbers , permutation (music) , limit (mathematics) , expected value , combinatorics , distribution (mathematics) , probability distribution , value (mathematics) , symmetric group , statistical physics , statistics , random variable , mathematical analysis , physics , acoustics
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.