ScholarLens Back to search
2013•Combinatorics Probability ComputingOpen access

Separation Probabilities for Products of Permutations

Olivier Bernardi, Rosena R. X. Du, Alejandro H. Morales, Richard P. Stanley

Open full text 12 citations

Abstract

We study the mixing properties of permutations obtained as a product of two uniformly random permutations of fixed cycle types. For instance, we give an exact formula for the probability that elements 1,2,. . .,kare in distinct cycles of the random permutation of {1,2,. . .,n} obtained as a product of two uniformly randomn-cycles.

Open-access reader

About this research paper

What this paper is about

We study the mixing properties of permutations obtained as a product of two uniformly random permutations of fixed cycle types. For instance, we give an exact formula for the probability that elements 1,2,. . .,kare in distinct cycles of the random permutation of {1,2,. . .,n} obtained as a product of two uniformly randomn-cycles.

Why it matters

OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We study the mixing properties of permutations obtained as a product of two uniformly random permutations of fixed cycle types. For instance, we give an exact formula for the probability that elements 1,2,. . .,kare in distinct cycles of the random permutation of {1,2,. . .,n} obtained as a product of two uniformly randomn-cycles.

Key concepts: Permutation (music), Random permutation, Mathematics, Mixing (physics), Combinatorics, Product (mathematics), Discrete mathematics, Symmetric group

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Separation Probabilities for Products of Permutations — Research Paper | ScholarLens