2015/10/12 by Manfred Einsiedler, Einsiedler, Manfred, Alex Maier +1
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1510.03324
openalex publication_date 2015/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.