Scott Sun

Asymptotic Density of Iterated Lattice Sumsets and Additive Self-Healing in Rectangular Lattice Boxes (Version 1.12)

Abstract We establish four rigorously proved theorems: (1) Universal Cartesian product density factorization for arbitrary finite sets; (2) exact exponential decay ρ(Δ_d(m)) = 1/m^d; (3) centroid neutralization under LINEAR point groups G ≤ GL(d,Z) with Fix(G)={0} (V1.12: restric...