42 citations · 42 across the 1 of their papers we have counts for
3 papers
math.NT2021
Fibonacci Expansions
Claudio Baiocchi, Vilmos Komornik, Paola Loreti
Expansions in the Golden ratio base have been studied since a pioneering paper of Rényi more than sixty years ago. We introduce closely related expansions of a new type, based on t…
math.CA2016
Cantor type functions in non-integer bases
Claudio Baiocchi, Vilmos Komornik, Paola Loreti
Cantor's ternary function is generalized to arbitrary base-change functions in non-integer bases. Some of them share the curious properties of Cantor's function, while others behav…
math.NT2007★ 42 cited
Greedy and quasi-greedy expansions in non-integer bases
Claudio Baiocchi, Vilmos Komornik
We generalize several theorems of Rényi, Parry, Daróczy and Kátai by characterizing the greedy and quasi-greedy expansions in non-integer bases.