yihaozhang

Correlation Decay, Determinant Limits, and Zero Escape in a Nonlinear Spherical Response Model

We study a nonlinear response model on the probability sphere obtained by iterating F(s) = s + s² on squared spatial projections, then centering and normalizing the resulting fields in L². For each fixed dimension d ≥ 2 and amplitude τ > 0, we prove geometric decay of correlation...