7 citations · 12 across the 21 of their papers we have counts for
5 papers · 1 filter
Properties of a random Cantor set with overlaps
Anna Chiara Lai, Paola Loreti
We study the topology and the Hausdorff dimension of a random Cantor set with overlaps, generated by an iterated function system with scaling ratio equal to the Golden Mean. The re…
Gap estimates for the spectrum of -bonacci numbers
Anna Chiara Lai, Paola Loreti
We establish some results on the structure of the spectrum of -bonacci numbers. More precisely, we study explicit lower bounds for the distance between elements separated by …
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…
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…
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…