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.
|Journal||Ergodic theory and dynamical systems|
|Publication status||Published - 2016|
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)