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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Generalized adding machines and Julia sets

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Author(s):
Messaoudi, Ali ; Valle, Glauco
Total Authors: 2
Document type: Journal article
Source: COMPTES RENDUS MATHEMATIQUE; v. 354, n. 11, p. 1096-1100, NOV 2016.
Web of Science Citations: 1
Abstract

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. (AU)

FAPESP's process: 13/24541-0 - Ergodic and qualitative theory of dynamical systems
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants