Ergodic and algebraic properties for dynamical systems which preserves an infinite...
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| Author(s): |
Total Authors: 4
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| Affiliation: | [1] UNESP Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] UNESP Univ Estadual Paulista, Dept Matemat, BR-17033360 Bauru, SP - Brazil
[3] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | THEORETICAL COMPUTER SCIENCE; v. 588, p. 114-130, JUL 11 2015. |
| Web of Science Citations: | 2 |
| Abstract | |
In this paper, we study arithmetical and topological properties for a class of Rauzy fractals R-a given by the polynomial x(3) - ax(2) + x - 1 where a >= 2 is an integer. In particular, we prove the number of neighbors of R-a in the periodic tiling is equal to 8. We also give explicitly an automaton that generates the boundary of R-a. As a consequence, we prove that R-2 is homeomorphic to a topological disk. (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 08/02841-4 - Topology, geometry and ergodic theory of dynamical systems |
| Grantee: | Jorge Manuel Sotomayor Tello |
| Support Opportunities: | Research Projects - Thematic Grants |