4 problems

Projection richness conjecture. The word $\zeta(\mathbf u)$ is rich.

Let $w$ be the Fibonacci word, and let the recurrence quotient of an infinite word be the quotient discussed in the surrounding context. Among all non-periodic infinite words, Rauz…

Diophantine-exponent conjecture.

Let ${\bf PP}$ denote the property that, for infinitely many $n$, every factor of length $n$ is a product of two palindromes. Let the Tribonacci word be the standard infinite word…