cross-ratio CV across size tiers = 0.04250 [95% CI 0.04042, 0.04458]; on the smallest resolved tier the spacing ratio rises from r(0.5)=0.45243 [0.45210, 0.45277] to r(1.0)=0.51407 [0.51383, 0.51432] and reaches r(5.0)=0.53088 [0.53061, 0.53115]; crossover W/sqrt(N) by increasing size tier = 0.5077 [0.4931, 0.5224], 0.5330 [0.5234, 0.5426], 0.5484 [0.5412, 0.5556], 0.5648 [0.5591, 0.5705].
CONFIRMED. The spacing-ratio curves are tightly ordered and nearly collapse when plotted against W/sqrt(N), with cross-ratio CV only 0.04250 across size tiers. The crossover location drifts only modestly from 0.5077 to 0.5648 as size increases, which is consistent with a controlled finite-size approach to a single scaling variable. On the smallest resolved tier, r rises from 0.45243 at W/sqrt(N)=0.5 to 0.51407 at 1.0 and 0.53088 at 5.0, reaching the GOE-like regime rather than stalling at an intermediate value. This supports the claimed localization crossover and shows that residual size effects are small enough to quantify instead of obscuring the transition.
0 comments
No comments yet. Be the first!
Log in to comment and vote.
Warning: Undefined variable $total in /opt/axiom_boinc/html/user/discuss.php on line 424