Figure 3.

The ${\ell }_{\text{2}}$ distance $d_{\text{2}}^{\left(n\right)}\left(\text{E,X}\right)$ for $\text{X}\in \left\{\text{B,D}\right\}$ of the normalized expected spectra ${\varphi }_i^{\left(n\text{,E}\right)}$ [see Equation 2] and ${\varphi }_i^{\left(n\text{,Π}\right)}$ as a function of α (X = B) [resp. ψ (X = D)] and β (E) for number of leaves n = 100. Expected values were computed exactly. The grid points are α ∈ {1,1.025,…,2} and $\psi \in \left\{\text{0.01,0.02,}\dots \mathrm{,}\text{0.1,0.15,0.2,}\dots ,\text{0.95}\right\}$; for β as shown.