EIGENVALUES of FIBONACCI STOCHASTIC ADDING MACHINE

Messaoudi, Ali; Smania, D.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/22157

Title:

EIGENVALUES of FIBONACCI STOCHASTIC ADDING MACHINE

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)

ISSN:

0219-4937

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)

Sponsorship Process Number:

CNPq: 305043/2006-4
CNPq: 481406/2004-2
CAPES: 0189/08-1
FAPESP: 03/03107-9
FAPESP: 08/02841-4
CNPq: 470957/2006-9
CNPq: 310964/2006-7

Abstract:

In this work, we compute the eigenvalues of the transition operator associated to the Fibonacci stochastic adding machine. In particular, we show that the eigenvalues are connected to the set kappa of complex numbers z where (z(2), z) belongs to the filled Julia set of a particular endomorphism of C(2). We also study some topological properties of the set kappa.

Issue Date:

1-Jun-2010

Citation:

Stochastics and Dynamics. Singapore: World Scientific Publ Co Pte Ltd, v. 10, n. 2, p. 291-313, 2010.

Time Duration:

291-313

Publisher:

World Scientific Publ Co Pte Ltd

Keywords:

Stochastic adding machine
Fibonacci sequence
Transition operator
Julia set

Source:

http://dx.doi.org/10.1142/S0219493710002966

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/22157

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