6 problems

uMAT–MAT gap conjecture. For the same scenario, the DoF gap defined above holds for any number of cells $C$.

General DoF upper-bound conjecture. The total degrees of freedom satisfies

Consider a 3-user $(p,p+1)$ MIMO interference channel with constant channel coefficients, where each transmitter has $p$ antennas and each receiver has $p+1$ antennas. The degrees…

Consider the 2-transmitter 2-receiver network setting of the paper's linear-subspace-ratio lemma. Let $n\in\mathbb N$, let $\{f_1^{(n)},f_2^{(n)}\}$ be arbitrary encoding functions…

Let $K$ users communicate over a layered $M$-hop interference network with delayed channel-state information (CSI), and let its network sum-DoF be the supremum of achievable sum-Do…

Consider a $3K$-user interference channel with $K otinmathbb{Z}^+$? No: let $Kinmathbb{Z}^+$, and partition the transmitter–receiver pairs into groups $G1,G2,\ldots,GK$, each contai…