MINSTD (Park-Miller)

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algorithmic-byteshigh-entropy

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); high-dimensional / space-filling. The atlas finds no named structure, but the source is distinctively extreme on Zipf–Mandelbrot (8-bit):zipf_r_squared (-2.8z) — beyond what the standard bank predicts for it. It sits beside Wichmann-Hill in the atlas (standard-bank rank 21) — a neighbor conventional features miss.

What standard analysis sees
tail heaviness0.29
asymmetry0.50
occupancy0.94
short-range corr0.35
long-range memory0.36
spectral colour0.72
periodicity0.06
complexity0.91
time-irreversibility0.69
volatility clustering0.29
multifractality0.17
dimensionality0.94
nonstationarity0.27
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Zipf–Mandelbrot (8-bit):zipf_r_squared-2.8zbank-miss 1.6σ

Composition

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

Render Gallery

Atlas Position

Nearest neighborDistance
ChaCha201.68
Wichmann-Hill1.71
Euler-Mascheroni γ Digits1.75cross-origin

Open in Atlas →

Which Geometries Light Up

Inflation (Substitution) › Inflation (Substitution):entropy_raterank 5/3061.0000
Inflation (Substitution) › Inflation (Substitution):complexity_subexponentialrank 304/3060.6382
Predictability › Predictability:cond_entropy_k8rank 1/3062.9998
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