STOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETS

Autor(es)

Messaoudi, Ali ^[1] ; Uceda, Rafael Asmat ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 34, n. 12, p. 5247-5269, DEC 2014.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 07/08454-0 - Substituições, Fractais de Rauzy e Dinâmica
• Beneficiário: Rafael Marcel Asmat Uceda
• Modalidade de apoio: Bolsas no Brasil - Doutorado