Sandpile
self-organized-criticality · 37 views
self-organized-criticalityavalanching
What It Is
Bak-Tang-Wiesenfeld sandpile --- self-organized criticality produces power-law avalanche sizes without parameter tuning. Slow buildup with sudden cascading collapses
Interpretation
Standard analysis sees: right-skewed; aperiodic / broadband; homoskedastic; multifractal. The atlas finds no named structure, but the source is distinctively extreme on Attractor Reconstruction:lyap_sum (-4.0z) — beyond what the standard bank predicts for it. It sits beside Categorical Sensor in the atlas (standard-bank rank 34) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.70
asymmetry0.87
occupancy0.21
short-range corr0.22
long-range memory0.20
spectral colour0.82
periodicity0.01
complexity0.50
time-irreversibility0.54
volatility clustering0.13
multifractality0.86
dimensionality0.45
nonstationarity0.29
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Attractor Reconstruction:lyap_sum | -4.0z | bank-miss 1.6σ |
Nonstationarity:change_quantiles_high | +2.8z | bank-miss 1.3σ |
Composition
dtypefloat64
range[0, 9.437]
unique values1377 / 16384
mean ± std1.58 ± 2.33
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Sandpile.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Sandpile.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Sandpile.png)
Inflation (Substitution) > barcode
/d_curve/Sandpile.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/Sandpile.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/Sandpile.png)
Ulam Spiral (Sacks) > default
/default/Sandpile.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Continued Fractions | 3.52 | cross-origin |
| Earthquake Depths | 3.68 | cross-origin |
| Categorical Sensor | 3.70 | cross-origin |
Which Geometries Light Up
This source does not rank extreme on any metric.
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