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math.DS2021
Dynamical behavior of alternate base expansions
Émilie Charlier, Célia Cisternino, Karma Dajani
We generalize the greedy and lazy -transformations for a real base to the setting of alternate bases , which were recently introduced by t…
math.CO2021
Expansions in Cantor real bases
Émilie Charlier, Célia Cisternino
We introduce and study series expansions of real numbers with an arbitrary Cantor real base , which we call -representations. In…