STOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETS

Messaoudi, Ali; Uceda, Rafael Asmat

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/117542

Title:

STOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETS

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Univ Picardie Jules Verne

ISSN:

1078-0947

Sponsorship:

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Projet Region Picardie GDIFS

Sponsorship Process Number:

CNPq: 305939/2009-2
CAPES: 661/10
FAPESP: 07/08454-0

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.

Issue Date:

1-Dec-2014

Citation:

Discrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, v. 34, n. 12, p. 5247-5269, 2014.

Time Duration:

5247-5269

Publisher:

Amer Inst Mathematical Sciences

Keywords:

Julia sets
stochastic adding machines
recurrent sequence
Markov chains
spectrum of transition operator

Source:

http://dx.doi.org/10.3934/dcds.2014.34.5247

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/117542

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