MINSTD (Park-Miller)

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What It Is

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

Interpretation

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.

What standard analysis sees
tail heaviness0.30
asymmetry0.53
occupancy0.95
short-range corr0.33
long-range memory0.41
spectral colour0.70
periodicity0.05
complexity0.98
time-irreversibility0.29
volatility clustering0.22
multifractality0.08
dimensionality0.94
nonstationarity0.21
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Zipf–Mandelbrot (8-bit):zipf_r_squared-2.9zbank-miss 1.7σ

Composition

dtypefloat64
range[4.572e-05, 1]
unique values16384 / 16384
mean ± std0.502 ± 0.288

Render Gallery

Atlas Position

Nearest neighborDistance
glibc LCG1.73
ChaCha201.74
Wichmann-Hill1.78

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Which Geometries Light Up

Inflation (Substitution)Inflation (Substitution):entropy_raterank 3/2981.0000
Inflation (Substitution)Inflation (Substitution):complexity_linearityrank 294/2980.6382
Persistent HomologyPersistent Homology:persistence_entropyrank 5/2984.9819
PredictabilityPredictability:cond_entropy_k8rank 1/2982.9998
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