Abstract
Let be a strictly increasing sequence of positive integers with . We study the system of numeration defined by this sequence by looking at the corresponding compactification of and the extension of the addition-by-one map on (the 'odometer'). We give sufficient conditions for the existence and uniqueness of -invariant measures on in terms of combinatorial properties of.
| Original language | English |
|---|---|
| Pages (from-to) | 422-457 |
| Journal | Ergodic theory and dynamical systems |
| Volume | 36 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2016 |
Keywords
- odometers
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)