Shuyang Xu

Sharp Rank Transitions and Supercritical Kernel Structure in Sparse Cayley Incidence Matrices

Fix k ≥ 3 and let p → ∞ through odd primes. We sample m = ⌊Cp⌋ distinct rows uniformly from the additive Cayley host on kp part-labeled vertices and form their binary incidence matrix. Although local peeling gives a scalar prediction, the additive constraint leaves global row dep...