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Balanced Fibonacci word rectangles, and beyond

math.NT · 2025-09-30 · unverdicted · novelty 6.0

Balance properties of Fibonacci word rectangles are decidable by finite automata, generalized to all Sturmian characteristic words with quadratic irrational slopes, and tested for Tribonacci and Thue-Morse words.

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  • Balanced Fibonacci word rectangles, and beyond math.NT · 2025-09-30 · unverdicted · none · ref 18

    Balance properties of Fibonacci word rectangles are decidable by finite automata, generalized to all Sturmian characteristic words with quadratic irrational slopes, and tested for Tribonacci and Thue-Morse words.