Random permutations and unique fully supported ergodicity for the Euler adic transformation
Dynamical Systems
2007-08-10 v1
Abstract
There is only one fully supported ergodic invariant probability measure for the adic transformation on the space of infinite paths in the graph that underlies the Eulerian numbers. This result may partially justify a frequent assumption about the equidistribution of random permutations.
Cite
@article{arxiv.0708.1232,
title = {Random permutations and unique fully supported ergodicity for the Euler adic transformation},
author = {Sarah Bailey Frick and Karl Petersen},
journal= {arXiv preprint arXiv:0708.1232},
year = {2007}
}
Comments
12 pages, 7 figures, to appear Ann. Inst. H. Poincar\'e Prob. and Stat