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math.CO2022★ 1 cited
A natural bijection for contiguous pattern avoidance in words
Julia Carrigan, Isaiah Hollars, Eric Rowland
Two words and are avoided by the same number of length- words, for all , precisely when and have the same set of border lengths. Previous proofs of this theor…
math.CO2022
The lexicographically least square-free word with a given prefix
Siddharth Berera, Andrés Gómez-Colunga, Joey Lakerdas-Gayle +6
The lexicographically least square-free infinite word on the alphabet of non-negative integers with a given prefix is denoted . When is the empty word, this word was…
math.NT2022
Limiting density of the Fibonacci sequence modulo powers of a prime
Nicholas Bragman, Eric Rowland
For a given prime , we determine the limit, as , of the density of residues modulo attained by the Fibonacci sequence. In particular, we show that this limiti…