3 papers
math.NT2009
Properties of expansions in complex bases
Vilmos Komornik, Paola Loreti
Expansions in noninteger positive bases have been intensively investigated since the pioneering works of Rényi (1957) and Parry (1960). The discovery of surprising unique expansion…
math.CA2009
A vectorial Ingham-Beurling theorem
Alia Barhoumi, Vilmos Komornik, Michel Mehrenberger
Baiocchi et al. generalized a few years ago a classical theorem of Ingham and Beurling by means of divided differences. The optimality of their assumption has been proven by the th…
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…