Local Rank of Ergodic Symmetric $n$-Powers does not exceed $n!n^{-n}$
Dynamical Systems
2011-08-30 v1
Abstract
We prove that local rank of an ergodic symmetric power does not exceed . A. Katok's old results show that this upper bound is exact. We prove also that has infinite Rank as .
Cite
@article{arxiv.1108.5660,
title = {Local Rank of Ergodic Symmetric $n$-Powers does not exceed $n!n^{-n}$},
author = {V. V. Ryzhikov},
journal= {arXiv preprint arXiv:1108.5660},
year = {2011}
}
Comments
Ergodic theory