{'fraction_non_alphanumeric': 0.04693140794223827, 'fraction_numerical': 0.010830324909747292, 'mean_word_length': 4.721649484536083, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Locally Periodic Versus Globally Periodic Infinite Words

We call a one-way infinite word w over a finite alphabet (ρ, l)-repetitive if all long enough prefixes of w contain as a suffix a ρth power (or more generally a repetition of order ρ) of a word of length at most l. We show that each (2,4)- repetitive word is ultimately periodic, as well as that there exist continuum many, and hence also nonultimately periodic, (2, 5)-repetitive words. Further, we characterize nonultimately periodic (2, 5)-repetitive words both structurally and algebraically.