Top-left panel: cumulative velocity correlation function for the 1137 chemically selected nearby (d < 2.5 kpc) halo stars (circles), and the 10% fastest (diamonds); bins of 5 km s⁻¹ width are used. The error bars are derived from Poisson’s statistics of the counts. Top-middle and top-right panels: 3D velocity distribution (detection space). Filled dots show the 163 sources with pairwise velocity differences less than 15 km s⁻¹. Different colors indicate stars associated with the eight clumps recovered by the clustering analysis. Bottom panel: Toomre diagram of the full selected sample, as above. The 10% fastest are marked with red open dots. Members of GSE (x) and Helmi Stream (HS; +) are highlighted. The approximate location of known substructures (GSE, HS, Nyx, Sequoia, the “arc,” and Thamnos) is shown. The (conservative) kinematical selection threshold for halo stars, ∣∣v − v_LSR∣∣ > 230 km s⁻¹, is represented by the dashed line.