Simultaneous Equidistribution and Nondense Points for Noncommuting Toral Automorphisms
Dynamical Systems
2015-10-13 v1
Abstract
We show in prime dimension that for two non-commuting totally irreducible toral automorphisms the set of points that equidistribute under the first map but have non-dense orbit under the second has full Hausdorff dimension. In non-prime dimension the argument fails only if the automorphisms have strong algebraic relations.
Cite
@article{arxiv.1510.03324,
title = {Simultaneous Equidistribution and Nondense Points for Noncommuting Toral Automorphisms},
author = {Manfred Einsiedler and Alex Maier},
journal= {arXiv preprint arXiv:1510.03324},
year = {2015}
}