Random permutations and unique fully supported ergodicity for the Euler adic transformation

Details Random permutations and unique fully supported ergodicity for the Euler adic transformation Random permutations and unique fully supported ergodicity for the Euler adic transformation

2007-08-09

arxiv.org/abs/0708.1232v1

Mathematics

Dynamical Systems

12 pages, 7 figures, to appear Ann. Inst. H. Poincar\'e Prob. and Stat

Scientific paper

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.

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