The repetition threshold of a class of sequences is the smallest number r such that a sequence from the class contains no repetition with exponent > r. We focus on the class Cd of d-ary sequences rich in palindromes. In 2020, Currie, Mol, and Rampersad determined the repetition threshold for C₂. In 2024, Currie, Mol and Peltomäki found the repetition threshold for C₃ and conjectured that the repetition threshold for Cd tends to 2 with d growing to infinity. Here we verify their conjecture.
Dvořáková et al. (Sun,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: