Berry Random Wave
quantum · 36 views
quantum
What It Is
Berry's random plane wave --- superposition model for chaotic eigenstate statistics, Gaussian amplitude distribution
Interpretation
Standard analysis sees: smooth / autocorrelated; long-range memory (persistent); red spectrum (low-frequency / 1-over-f power); low-complexity (predictable, not noise-like); volatility-clustering (bursty). The atlas detects no named structure beyond this. It sits beside Double Pendulum in the atlas (standard-bank rank 21) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.57
asymmetry0.60
occupancy0.64
short-range corr0.92
long-range memory0.87
spectral colour0.07
periodicity0.61
complexity0.09
time-irreversibility0.65
volatility clustering0.93
multifractality0.74
dimensionality0.29
nonstationarity0.70
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[-1.302, 1.591]
unique values16384 / 16384
mean ± std0.0255 ± 0.627
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/Berry_Random_Wave.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Berry_Random_Wave.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Berry_Random_Wave.png)
Inflation (Substitution) > barcode
/d_curve/Berry_Random_Wave.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/Berry_Random_Wave.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/Berry_Random_Wave.png)
Ulam Spiral (Sacks) > default
/default/Berry_Random_Wave.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Lorenz-96 N=8 | 2.74 | cross-domain |
| Lorenz-96 N=36 | 2.77 | cross-domain |
| FPUT N=16 | 2.78 | cross-domain |
Which Geometries Light Up
Laplacian › Laplacian:cross_scale_curvature_coherence | rank 4/298 | 0.9992 |
Laplacian › Laplacian:curvature_autocorrelation | rank 4/298 | 0.9992 |
Laplacian › Laplacian:biharmonic_ratio | rank 297/298 | 0.0000 |
Navier-Stokes › Navier-Stokes:intermittency_autocorr | rank 5/298 | 0.9994 |
Navier-Stokes › Navier-Stokes:sl_fit_quality | rank 295/298 | -0.9952 |
Spectral Analysis › Spectral Analysis:phase_coherence | rank 5/298 | 0.9633 |
p-Variation › p-Variation:volatility_clustering | rank 4/298 | 0.9995 |
p-Variation › p-Variation:increment_persistence | rank 5/298 | 0.9998 |
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