Poisson genericity in numeration systems with exponentially mixing probabilities

We define Poisson genericity for infinite sequences in any finite or countable alphabet with an invariant exponentially-mixing probability measure. A sequence is Poisson generic if the number of occurrences of blocks of symbols asymptotically follows a Poisson law as the block length increases. We p...

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Hauptverfasser:	Álvarez, Nicolás, Becher, Verónica, Cesaratto, Eda, Mereb, Martín, Peres, Yuval, Weiss, Benjamin
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Number Theory Mathematics - Probability
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