Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T13:38:19.184Z Has data issue: false hasContentIssue false
  • English
  • Français

Orthogonal Decomposition of Symmetric Functions Defined on Random Permutations

Published online by Cambridge University Press:  11 April 2005

M. BLOZNELIS
M. BLOZNELIS
Affiliation:
Vilnius University, Vilnius 01513, Lithuania and Institute of Mathematics and Informatics, Vilnius, Lithuania (e-mail: mindaugas.bloznelis@maf.vu.lt)
Get access Rights & Permissions [Opens in a new window]

Abstract

Let $T$ denote a real function defined on random subsets of a given family of finite sets. The random variable $T$ is decomposed into the sum of the linear, the quadratic, the cubic etc. parts which are mutually uncorrelated. Applications of this decomposition to the asymptotics of the probability distribution of $T$ (as the sizes of random subsets and of finite sets increase) are discussed.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 14 , Issue 3 , May 2005 , pp. 249 - 268
Copyright
© 2005 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)