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math.DS2026
Frequency of patterns in smooth sequences over the alphabet \{1, 3\}
Damien Jamet, Irène Marcovici, Léo Poirier +1
We provide an ergodic theory framework to study statistical properties of smooth sequences over the odd alphabet {1, 3}. The arithmetic nature of this alphabet yields a partition o…
math.DS2025
Confined Poisson extensions
Séverin Benzoni, Emmanuel Roy, Thierry de la Rue
This paper follows on from our previous work, where we introduced the notion of \emph{confined extensions}, and our purpose is to widen the context in which such extensions appear.…
math.DS2025
On orthogonality to uniquely ergodic systems
Martyna Górska, Mariusz LemaÅczyk, Thierry de la Rue
We solve Boshernitzan's problem of characterization (in terms of so called Furstenberg systems) of bounded sequences that are orthogonal to all uniquely ergodic systems. Some varia…