Fig. 9.

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Structure-function estimates of the reconstructed CF4 velocity field for orders q ranging from 1 to 5 (from bottom to top), based on 64 × 106 randomly sampled point pairs. Two distinct regimes can be identified. At small scales, below ∼50 h−1 Mpc, the signal is smooth, with ζv(1)≃0.95, reflecting the smoothing introduced by the reconstruction procedure. At larger scales, spanning approximately 50 − 450 h−1 Mpc, a multiaffine scaling regime emerges, characterised by a first-order exponent H = ζv(1)≃0.4. Beyond approximately 450 − 500 h−1 Mpc, the structure functions increase with spatial separation, and this trend becomes more pronounced for larger values of q. This behaviour results from a strong velocity gradient that dominates the statistics at the largest scales analysed.
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