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Hausdorff dimension and uniform exponents in dimension two

Bugeaud, Y; Cheung, Y; Chevallier, N

Bugeaud, Y (reprint author), Univ Strasbourg, IRMA, UMR 7501, 7 Rue Rene Descartes, F-67084 Strasbourg, France.; Bugeaud, Y (reprint author), CNRS, 7 Rue Rene Descartes, F-67084 Strasbourg, France.

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2019; 167 (2): 249

Abstract

In this paper we prove that the Hausdorff dimension of the set of (nondegenerate) singular two-dimensional vectors with uniform exponent mu in (1/2, 1......

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