On the spectrum of stochastic perturbations of the shift and Julia sets
Carregando...
Fontes externas
Fontes externas
Data
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Polish Acad Sciences Inst Mathematics
Institute of Mathematics, Polish Academy of Sciences
Institute of Mathematics, Polish Academy of Sciences
Tipo
Artigo
Direito de acesso
Acesso restrito
Fontes externas
Fontes externas
Resumo
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.
Descrição
Idioma
Inglês
Citação
Fundamenta Mathematicae. Warsaw 10: Polish Acad Sciences Inst Mathematics, v. 218, n. 1, p. 47-68, 2012.
