2 papers
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 where…
math.NT2017
Gaussian Behavior of Quadratic Irrationals
Eda Cesaratto, Brigitte Vallée
We study the probabilistic behaviour of the continued fraction expansion of a quadratic irrational number, when weighted by some "additive" cost. We prove asymptotic Gaussian limit…