Generalized adding machines and Julia sets
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Data
2016-11-01
Autores
Messaoudi, Ali [UNESP]
Valle, Glauco
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Editor
Elsevier B.V.
Resumo
We define stochastic adding machines based on Cantor Systems of numeration. Our aim here is to compute the parts of spectra of the transition operators associated with these stochastic adding machines in different classical Banach spaces. We show that these spectra are connected to fibered Julia sets. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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Comptes Rendus Mathematique. Paris: Elsevier France-editions Scientifiques Medicales Elsevier, v. 354, n. 11, p. 1096-1100, 2016.