The transition from finite to infinite measures in dynamical systems
Genomic and phenotypic signatures of the evolution of trophic habits in insects: a...
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Pontificia Univ Catolica Rio Janeiro PUG Rio, Dept Matemcit, Rio De Janeiro - Brazil
[2] Univ Sao Paulo, Inst Matemat & Estat, R Matao 1010, Sao Paulo - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. 41, n. 11, p. 3363-3388, NOV 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We obtain estimates on the uniform convergence rate of the Birkhoff average of a continuous observable over torus translations and affine skew product toral transformations. The convergence rate depends explicitly on the modulus of continuity of the observable and on the arithmetic properties of the frequency defining the transformation. Furthermore, we show that for the one-dimensional torus translation, these estimates are nearly optimal. (AU) | |
| FAPESP's process: | 18/03762-2 - Topological dynamical system on surfaces |
| Grantee: | Xiaochuan Liu |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |