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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.)

STOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETS

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Author(s):
Messaoudi, Ali [1] ; Uceda, Rafael Asmat [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Paulista, Dept Matemat, Inst Biociencias Letras & Ciencias, Sao Paulo - Brazil
[2] Univ Picardie Jules Verne, Lab Amienois Math Fondamentales & Appl, CNRS, UMR 7352, Amiens - France
Total Affiliations: 2
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 34, n. 12, p. 5247-5269, DEC 2014.
Web of Science Citations: 2
Abstract

In this work we define a stochastic adding machine associated to a quadratic base (F-n) (n >= 0) formed by recurrent sequences of order 2. We obtain a Markov chain with states in Z(+) and we prove that the spectrum of the transition operator associated to this Markov chain is connected to the filled Julia sets for a class of endomorphisms in C-2 of which we study topological properties. (AU)

FAPESP's process: 07/08454-0 - Substitutions, Rauzy Fractals and Dynamics
Grantee:Rafael Marcel Asmat Uceda
Support Opportunities: Scholarships in Brazil - Doctorate