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math.NT2022
Optimal expansions of Kakeya sequences
Anna Chiara Lai, Paola Loreti
We investigate optimal expansions of Kakeya sequences for the representation of real numbers. Expansions of Kakeya sequences generalize the expansions in non-integer bases and they…
math.NT2011
Geometrical aspects of expansions in complex bases
Anna Chiara Lai
We study the set of the representable numbers in base with and and with digits in a arbitrary finite real alphabet . We give a geom…
math.NT2009
Generalized golden ratios of ternary alphabets
Vilmos Komornik, Anna Chiara Lai, Marco Pedicini
Expansions in noninteger bases often appear in number theory and probability theory, and they are closely connected to ergodic theory, measure theory and topology. For two-letter a…