| Autor: |
Hofer, Markus, Iacò, Maria Rita, Tichy, Robert |
| Rok vydání: |
2013 |
| Předmět: |
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| Zdroj: |
Ergod. Th. Dynam. Sys. 35 (2015) 895-909 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1017/etds.2013.70 |
| Popis: |
We investigate a parametric extension of the classical s-dimensional Halton sequence, where the bases are special Pisot numbers. In a one- dimensional setting the properties of such sequences have already been in- vestigated by several authors [5, 8, 23, 28]. We use methods from ergodic theory to in order to investigate the distribution behavior of multidimen- sional versions of such sequences. As a consequence it is shown that the Kakutani-Fibonacci transformation is uniquely ergodic. |
| Databáze: |
arXiv |
| Externí odkaz: |
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