The Lorenz renormalization conjecture on post-critical attractors

Let $f$ be a Lorenz map, and let $w=(w_0,w_1)$ be a renormalization type. A map is infinitely $w$-renormalizable when every successive renormalization is $w$-renormalizable. Denote the closure of the post-critical set of $f$ by $obreak\mathcal{O}_f$. The Lorenz renormalization conjecture. If $f$ is infinitely $w$-renormalizable, then $\mathcal{O}_f$ is a minimal Cantor attractor. For Lorenz maps, $\mathcal{O}_f$ is the union of the $\omega$-limit sets of the critical values $f_0(c)$ and $f_1(c)$; the claim is known for a large class of monotone combinatorics, but remains open in general.