3 problems

Let $w,w'$ be two words, and let $\tilde{c}(w)$ denote the second auto-correlation constant defined by the asymptotic second moment of the number of leaves associated with $w$. The…

Total variation separation conjecture. For every such pair,

Let $\Sigma=\{\mathtt{a},\mathtt{b}\}$, and let $\Sigma_{sb}^{n}$ denote the strictly balanced words of length $n$. For a word $w$, write $\operatorname{ScatFact}_k(w)$ for its set…