2 problems

$u$-function-perceptron contiguity conjecture. The random and planted ensembles are contiguous for all $0<K\le K^*$ and $\alpha\in(0,\alpha_c^u(K))$.

Frozen-1RSB conjecture. For every $K>0$ and every $\alpha\in(0,\alpha_c^r(K))$, there exists $d_{\mathrm{min}}>0$ such that, with high probability over the RBP instance, for almost…