Header

UZH-Logo

Maintenance Infos

Trajectories in random minimaltransposition factorizations


Féray, Valentin; Kortchemski, Igor (2019). Trajectories in random minimaltransposition factorizations. ALEA: Latin American Journal of Probability and Mathematical Statistics, 16(1):759.

Abstract

We study random typical minimal factorizations of the n-cycle, which are factorizations of (1,...,n) as a product of n-1 transpositions, chosen uniformly at random. Our main result is, roughly speaking, a local convergence theorem for the trajectories of finitely many points in the factorization. The main tool is an encoding of the factorization by an edge and vertex-labelled tree, which is shown to converge to Kesten’s infinite Bienaymé-Galton-Watson tree with Poisson offspring distribution, uniform i.i.d. edge labels and vertex labels obtained by a local exploration algorithm.

Abstract

We study random typical minimal factorizations of the n-cycle, which are factorizations of (1,...,n) as a product of n-1 transpositions, chosen uniformly at random. Our main result is, roughly speaking, a local convergence theorem for the trajectories of finitely many points in the factorization. The main tool is an encoding of the factorization by an edge and vertex-labelled tree, which is shown to converge to Kesten’s infinite Bienaymé-Galton-Watson tree with Poisson offspring distribution, uniform i.i.d. edge labels and vertex labels obtained by a local exploration algorithm.

Statistics

Citations

Altmetrics

Downloads

19 downloads since deposited on 31 Oct 2019
19 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Statistics and Probability
Language:English
Date:1 January 2019
Deposited On:31 Oct 2019 09:52
Last Modified:31 Oct 2019 09:52
Publisher:Instituto nacional de matemática pura e aplicada
ISSN:1980-0436
OA Status:Green
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.30757/alea.v16-27

Download

Green Open Access

Download PDF  'Trajectories in random minimaltransposition factorizations'.
Preview
Content: Published Version
Language: English
Filetype: PDF
Size: 719kB
View at publisher