The 'minimum standard' LCG from Park & Miller (1988 CACM) --- a=16807, m=2³¹-1. Widely adopted as a baseline, but exhibits lattice structure in dimensions ≥6
Standard analysis sees: rich, high-entropy values; aperiodic / broadband; high-complexity (noise-like); monofractal; high-dimensional / space-filling. The atlas finds no named structure, but the source is distinctively extreme on Zipf–Mandelbrot (8-bit):zipf_r_squared (-2.9z) — beyond what the standard bank predicts for it.
Zipf–Mandelbrot (8-bit):zipf_r_squared | -2.9z | bank-miss 1.7σ |
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/phi_spectrum/MINSTD_(Park-Miller).png)
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Inflation (Substitution) › Inflation (Substitution):entropy_rate | rank 3/298 | 1.0000 |
Inflation (Substitution) › Inflation (Substitution):complexity_linearity | rank 294/298 | 0.6382 |
Persistent Homology › Persistent Homology:persistence_entropy | rank 5/298 | 4.9819 |
Predictability › Predictability:cond_entropy_k8 | rank 1/298 | 2.9998 |