Self-similarity and the transition from finite to infinite measures in dynamical s...
| Full text | |
| Author(s): |
Caprio, Danilo A.
;
Messaoudi, Ali
;
Valle, Glauco
Total Authors: 3
|
| Document type: | Journal article |
| Source: | ANNALES DE L INSTITUT FOURIER; v. 70, n. 6, p. 39-pg., 2020-01-01. |
| Abstract | |
In this paper, we define some Markov chains associated with Vershik maps on Bratteli diagrams. We study probabilistic and spectral properties of their transition operators and we prove that the spectra of these operators are connected to Julia sets in higher dimensions. We also study topological properties of these spectra. (AU) | |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 15/26161-6 - Julia sets, Vershik adic map and dynamic of operators |
| Grantee: | Danilo Antonio Caprio |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |