2 problems

Let $f$ be a two-branch expanding map, and let $L$ denote its Lyapunov spectrum. Iommi–Kiwi conjecture. The Lyapunov spectrum $L$ has at most two points of inflection. This conject…

Lyapunov-spectrum characterization conjecture. Let $Y$ be a closed negatively curved Riemannian manifold, $\dim Y \geq 3$. Suppose that for each periodic point $p$ of $g^{t}_{Y}$ t…