14 citations · 46 across the 24 of their papers we have counts for
5 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…
Weak abelian periodicity of infinite words
Sergey Avgustinovich, Svetlana Puzynina
We say that an infinite word w is weak abelian periodic if it can be factorized into finite words with the same frequencies of letters. In the paper we study properties of weak abe…
Infinite Self-Shuffling Words
Émilie Charlier, Teturo Kamae, Svetlana Puzynina +1
In this paper we introduce and study a new property of infinite words: An infinite word , with values in a finite set , is said to be -self-shuffling $(k\g…
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…