3 papers
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…
cs.FL2010
Negative bases and automata
Christiane Frougny, Anna Chiara Lai
We study expansions in non-integer negative base -β introduced by Ito and Sadahiro. Using countable automata associated with (-β)-expansions, we characterize the case where the (-β…
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…