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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.)

On the spectrum of stochastic perturbations of the shift and Julia sets

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Author(s):
el Abdalaoui, el Houcein [1] ; Messaoudi, Ali [2]
Total Authors: 2
Affiliation:
[1] Univ Rouen, LMRS, UMR 60 85, Dept Math, F-76801 St Etienne - France
[2] IBILCE UNESP, Dept Matemat, BR-15054000 Sao Jose De Rio Preto, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: FUNDAMENTA MATHEMATICAE; v. 218, n. 1, p. 47-68, 2012.
Web of Science Citations: 6
Abstract

We extend the Killeen-Taylor study {[}Nonlinearity 13 (2000)] by investigating in different Banach spaces (l(alpha)(N), c(0)(N),c(N)) the point, continuous and residual spectra of stochastic perturbations of the shift operator associated to the stochastic adding machine in base 2 and in the Fibonacci base. For the base 2, the spectra are connected to the Julia set of a quadratic map. In the Fibonacci case, the spectrum is related to the Julia set of an endomorphism of C-2. (AU)

FAPESP's process: 11/23199-1 - Dynamics of endomofisms of C2 and Julia sets
Grantee:André Salles de Carvalho
Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil