2 problems

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The upper-bound conjecture for uniform optimal balance constants of $N$ -continued-fraction sequences
Uniform balance-constant conjecture. The uniform optimal balance constant equals the upper bound.
Conjectureopencombinatorics-on-words continued-fractions s-adic-sequencesarXiv posted 2 days ago
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The S-adic conjecture on sub-linear complexity
Let $f53f$ be a sequence over a finite alphabet. An $S$ -adic sequence is one admitting an $S$ -adic representation for some set $S$ of morphisms; in particular, the representation i…
Conjectureopenfactor-complexity s-adic-sequences symbolic-dynamicsarXiv posted 2 days ago

The upper-bound conjecture for uniform optimal balance constants of NNN-continued-fraction sequences