Tohoku Aftershock Intervals
geophysical · 37 views
geophysicalstochastic
What It Is
Log inter-event times of ~35k Tohoku 2011 M≥2 aftershocks --- Omori-law decay with temporal clustering, 3 months post-mainshock (ISC/JMA catalog, public domain)
Interpretation
Standard analysis sees: left-skewed; high-complexity (noise-like). The atlas finds no named structure, but the source is distinctively extreme on Ulam Spiral (Square):polynomial_concentration (-2.1z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.76
asymmetry0.04
occupancy0.57
short-range corr0.41
long-range memory0.58
spectral colour0.62
periodicity0.36
complexity0.93
time-irreversibility0.73
volatility clustering0.32
multifractality0.41
dimensionality0.76
nonstationarity0.44
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Ulam Spiral (Square):polynomial_concentration | -2.1z | bank-miss 1.5σ |
Composition
dtypefloat64
range[0, 8.337]
unique values11865 / 16384
mean ± std5.17 ± 1.15
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/Tohoku_Aftershock_Intervals.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Tohoku_Aftershock_Intervals.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Tohoku_Aftershock_Intervals.png)
Inflation (Substitution) > barcode
/d_curve/Tohoku_Aftershock_Intervals.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/Tohoku_Aftershock_Intervals.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/Tohoku_Aftershock_Intervals.png)
Ulam Spiral (Sacks) > default
/default/Tohoku_Aftershock_Intervals.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Voyager 1 X-band | 3.04 | cross-origin |
| Earthquake Intervals | 3.19 | |
| VLF Radio (Eclipse) | 3.24 |
Which Geometries Light Up
2-adic › 2-adic:valuation_spectral_concentration | rank 307/307 | 0.0465 |
Catch24 › Catch24:DN_OutlierInclude_p_001_mdrmd | rank 4/307 | 0.3663 |
Nonstationarity › Nonstationarity:change_quantiles_low | rank 5/307 | 0.1032 |
Ulam Spiral (Square) › Ulam Spiral (Square):polynomial_concentration | rank 304/307 | 0.0200 |
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