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math.PR2025
Poisson genericity in numeration systems with exponentially mixing probabilities
Nicolás Ãlvarez, Verónica Becher, Eda Cesaratto +3
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…
math.DS2025
Shannon Weights for binary dynamical recurrent sources of zero entropy
Ali Akhavi, Eda Cesaratto, Frédéric Paccaut +2
A probabilistic source is defined as the set of infinite words (over a given denumerable alphabet) endowed with a probability . The paper deals with general binary sources wher…