Simultaneous Equidistribution and Nondense Points for Noncommuting Toral Automorphisms

Published 12 Oct 2015 in math.DS | (1510.03324v1)

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.

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