| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] UNESP, Dept Matemat, Inst Biociencias Letras & Ciencias, Exatas De Sao Jose Do Ri - Brazil
[2] Univ Paris Est Marne la Vallee, CNRS, UMR 8050, LAMA, Paris - France
[3] Univ Fed Rio de Janeiro, Dept Metodos Estat, Inst Matemat, BR-21945970 Rio de Janeiro - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | Stochastics and Dynamics; v. 13, n. 3 SEP 2013. |
| Web of Science Citations: | 4 |
| Abstract | |
Consider the basic algorithm to perform the transformation n bar right arrow n + 1 changing digits of the d-adic expansion of n one by one. We obtain a family of Markov chains on the non-negative integers through successive and independent applications of the algorithm modified by a parametrized stochastic rule that randomly prevents one of the steps in the algorithm to finish. The objects of study in this paper are the spectra of the transition operators of these Markov chains. The spectra of these Markov chains turn out to be fibered Julia sets of fibered polynomials. This enables us to analyze their topological and analytical properties with respect to the underlying parameters of the Markov chains. (AU) | |
| FAPESP's process: | 07/06896-5 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |
| 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 |