Jeffrey Shallit

activity

20132026

collaborators

Showing 2024Show all

3 papers · 1 filter

math.CO2024

Some Remarks on Palindromic Periodicities

Gabriele Fici, Jeffrey Shallit, Jamie Simpson

We say a finite word $x$ is a palindromic periodicity if there exist two palindromes $p$ and $s$ such that $∣ x ∣ \geq ∣ p s ∣$ and $x$ is a prefix of the word $(p s)^{ω} = p s p s p s \dots$ . I…

math.CO2024

Consecutive Power Occurrences in Sturmian Words

Jason Bell, Chris Schulz, Jeffrey Shallit

We show that every Sturmian word has the property that the distance between consecutive ending positions of cubes occurring in the word is always bounded by $10$ and this bound is…

math.CO2024

Some Fibonacci-Related Sequences

Benoit Cloitre, Jeffrey Shallit

We discuss an interesting sequence defined recursively; namely, sequence A105774 from the On-Line Encyclopedia of Integer Sequences, and study some of its properties. Our main tool…