Well distributed occurrences

Aperiodic pseudorandom number generators based on infinite words

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 introduce the *well distributed occurrences* (WELLDOC) …

Infinite Words with Well Distributed Occurrences

In this paper we introduce the *well distributed occurrences* (WDO) combinatorial property for infinite words, which guarantees good behavior (no lattice structure) in some related pseudorandom number generators. An infinite word $u$ on a $d$-ary …