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Simultaneous equidistributing and non-dense points for non-commuting toral automorphisms
Published online by Cambridge University Press: 11 May 2018
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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- © Cambridge University Press, 2018