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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.)

Spectra of generalized stochastic adding machines

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Author(s):
Messaoudi, Ali [1] ; Valle, Glauco [2]
Total Authors: 2
Affiliation:
[1] UNESP, Inst Biociencias Letras & Ciencias Exatas, Dept Matemat, Rua Cristovao Colombo, 2265 Jardim Nazareth, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] Univ Fed Rio de Janeiro, Inst Matemat, Caixa Postal 68530, BR-21945970 Rio De Janeiro - Brazil
Total Affiliations: 2
Document type: Journal article
Source: FUNDAMENTA MATHEMATICAE; v. 241, n. 1, p. 17-43, 2018.
Web of Science Citations: 0
Abstract

We define stochastic adding machines based on Cantor systems of numeration. We show that the spectra associated to these stochastic adding machines are fibered Julia sets, and we also compute various parts of the spectra of their transition operators in different Banach spaces, like c(0), c and l(alpha), 1 <= alpha <= infinity. (AU)

FAPESP's process: 13/24541-0 - Ergodic and qualitative theory of dynamical systems
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants