Bibliographic Details
| Title: |
Fractions continues sur les surfaces de Veech. (French) |
| Authors: |
Arnoux, Pierre, Hubert, Pascal |
| Superior Title: |
Journal d'Analyse Mathématique; Dec2000, Vol. 81 Issue 1, p35-64, 30p |
| Abstract: |
We define a geometrical continued fraction algorithm in the setting of regular polygons with an even number of sides., The definition of the algorithm uses linear transformations generating a group conjugated to an index 2 subgroup of a Hecke group. We give Markov conditions allowing the iteration of the algorithm. We compute the natural extension and the invariant measure for each of the additive and multiplicative versions of this algorithm. [ABSTRACT FROM AUTHOR] |
|
Copyright of Journal d'Analyse Mathématique is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Complementary Index |
