Earthquake Magnitudes
geophysical · 37 views
geophysicalstochastic
What It Is
Real USGS earthquake magnitudes --- Gutenberg-Richter distribution, ~77k M4.0+ events 2020-2024 (USGS ANSS ComCat)
Interpretation
Standard analysis sees: right-skewed. The atlas finds no named structure, but the source is distinctively extreme on Zipf–Mandelbrot (8-bit):hapax_ratio (+2.8z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.84
asymmetry0.88
occupancy0.22
short-range corr0.43
long-range memory0.52
spectral colour0.60
periodicity0.25
complexity0.79
time-irreversibility0.82
volatility clustering0.39
multifractality0.32
dimensionality0.70
nonstationarity0.49
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Zipf–Mandelbrot (8-bit):hapax_ratio | +2.8z | bank-miss 1.2σ |
Composition
dtypefloat64
range[4, 7.7]
unique values85 / 16384
mean ± std4.51 ± 0.391
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/Earthquake_Magnitudes.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Earthquake_Magnitudes.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Earthquake_Magnitudes.png)
Inflation (Substitution) > barcode
/d_curve/Earthquake_Magnitudes.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/Earthquake_Magnitudes.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/Earthquake_Magnitudes.png)
Ulam Spiral (Sacks) > default
/default/Earthquake_Magnitudes.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Geometric Waiting Times | 3.15 | cross-origin |
| Prime Gaps | 3.43 | cross-origin |
| Poisson Spacings | 3.43 | cross-origin |
Which Geometries Light Up
Predictability › Predictability:sample_entropy | rank 1/306 | 2.3584 |
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