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An algorithm for computing the centered Hausdorff measures of self-similar sets
Authors:Marta Llorente  Manuel Morán
Institution:1. Algebra and Number Theory Laboratory, Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, BP 32 EL Alia Bab Ezzouar 16111, Algiers, Algeria;2. Algebra, Number Theory and Nonlinear Analysis Laboratory, LR18ES15, Department of Mathematics, Faculty of Sciences, University of Monastir, Monastir 5000, Tunisia;3. Department of Mathematics, Higher Institute of Applied Mathematics and Computer Sciences, University of Kairouan, Street of Assad Ibn Alfourat, Kairouan 3100, Tunisia;4. Department of Mathematics, Faculty of Sciences, University of Tabuk, Saudi Arabia;1. Laboratoire Robotique, Informatique et Systèmes Complexes (RISC, LR16ES07), Ecole Nationale d’Ingénieurs de Tunis, Université de Tunis El Manar, BP. 37, Le Belvédère, 1002 Tunis, Tunisia;2. Institut Supérieur des Technologies de l’Information et de la Communication, Université de Carthage, Borj Cedria 1164, Tunis, Tunisia
Abstract:We provide an algorithm for computing the centered Hausdorff measures of self-similar sets satisfying the strong separation condition. We prove the convergence of the algorithm and test its utility on some examples.
Keywords:
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