48 citations · 175 across the 8 of their papers we have counts for
3 papers · 1 filter
Aperiodic pseudorandom number generators based on infinite words
Lubomira Balkova, Michelangelo Bucci, Alessandro De Luca +2
In this paper we study how certain families of aperiodic infinite words can be used to produce aperiodic pseudorandom number generators (PRNGs) with good statistical behavior. We i…
On additive properties of sets defined by the Thue-Morse word
Michelangelo Bucci, Neil Hindman, Svetlana Puzynina +1
In this paper we study some additive properties of subsets of the set $\nats$ of positive integers: A subset of $\nats$ is called {\it -summable} (where $k\in\ben$) if c…
Central sets generated by uniformly recurrent words
Michelangelo Bucci, Svetlana Puzynina, Luca Q. Zamboni
A subset of $\nats$ is called an IP-set if contains all finite sums of distinct terms of some infinite sequence $(x_n)_{n\in \nats} $ of natural numbers. Central sets, firs…