Zipf Distribution
exotic · 36 views
exotic
What It Is
IID draws from Zipf/power-law distribution --- steep rank-frequency, heavy right tail
Interpretation
Standard analysis sees: aperiodic / broadband; high-complexity (noise-like). The atlas detects no named structure beyond this. It sits beside Entanglement Entropy in the atlas (standard-bank rank 46) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.72
asymmetry0.84
occupancy0.58
short-range corr0.32
long-range memory0.32
spectral colour0.74
periodicity0.04
complexity0.90
time-irreversibility0.70
volatility clustering0.32
multifractality0.32
dimensionality0.67
nonstationarity0.29
What the atlas adds
Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.
Composition
dtypefloat64
range[0.5266, 2.834]
unique values16384 / 16384
mean ± std0.935 ± 0.356
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Zipf_Distribution.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Zipf_Distribution.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Zipf_Distribution.png)
Inflation (Substitution) > barcode
/d_curve/Zipf_Distribution.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/Zipf_Distribution.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/Zipf_Distribution.png)
Ulam Spiral (Sacks) > default
/default/Zipf_Distribution.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Benford's Law | 2.78 | cross-domain |
| Poisson Spacings | 2.90 | cross-domain |
| GOE Spacings | 3.02 | cross-domain |
Which Geometries Light Up
Level Statistics › Level Statistics:wd_classification | rank 4/298 | 0.2723 |
Nonstationarity › Nonstationarity:trajectory_dim | rank 1/298 | 0.8359 |
← Weierstrassin binary
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources