FIG. 2.

Autocorrelation modes. Example networks (N = 1200) have 3 equally sized groups with α, g such that M is symmetric. (a) When D* = 1 autocorrelations maintain a constant ratio independent of τ. (b) Rescaling by the components $u_{1c}^R$ collapses the autocorrelation functions (Here Λ₁ = 20, Λ₂ = 0.2, Λ₃ = 0.1). (c) When D* = 2, the autocorrelation functions are linear combinations of two autocorrelation “modes” that decay on different timescales. Projections of these functions $\langle u_c^R|\mathbf{\Delta }(\tau )\rangle$ are shown in (d). Only projections on $|u_1^R\rangle ,|u_2^R\rangle$ are significantly different from 0 (Here Λ₁ = 20, Λ₂ = 16, Λ₃ = 0.1). Insets show the variance of Δ (τ) projected on $|u_c^R\rangle$ averaged over 20 networks in each setting.