期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2017
卷号：XIV
页码：427-444
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：For uniform random permutations conditioned to have no long cycles,we prove that the total number of cycles satisfies a central limit theorem. Underadditional assumptions on the asymptotic behavior of the set of allowed cyclelengths, we derive asymptotic expansions for the corresponding expected value andvariance. In contrast to the case of uniform permutations, the asymptotic meanand variance are not logarithmic in the system size.
关键词：random permutation; total number of cycles; cycle weights; central;limit theorem.
