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The Hausdorff dimension of a class of recurrent sets
Authors:Li-Min Shi
Affiliation:Department of Mathematics, Sichuan Normal University, Chengdu 610066, PR China
Abstract:In this paper we obtain a lower bound for the Hausdorff dimension of recurrent sets and, in a general setting, we show that a conjecture of Dekking [F.M. Dekking, Recurrent sets: A fractal formalism, Report 82-32, Technische Hogeschool, Delft, 1982] holds.
Keywords:Hausdorff dimension   Bouligand dimension   Fractal set
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