Earthquake Depths
geophysical · 37 views
geophysicalstochastic
What It Is
Real USGS earthquake depths --- bimodal: shallow crustal (<30km) and deep subduction (>100km), ~77k M4.0+ events 2020-2024 (USGS ANSS ComCat)
Interpretation
Standard analysis sees: right-skewed; multifractal. The atlas additionally detects Attractor Reconstruction:lyap_entropy.
What standard analysis sees
tail heaviness0.84
asymmetry0.93
occupancy0.27
short-range corr0.40
long-range memory0.54
spectral colour0.61
periodicity0.23
complexity0.71
time-irreversibility0.37
volatility clustering0.35
multifractality0.90
dimensionality0.24
nonstationarity0.57
What the atlas adds
Attractor Reconstruction:lyap_entropy+2.2z
Kolmogorov-Sinai entropy production rate (sum of positive λ)
Atlas-extreme metrics the standard bank can’t predict for this source
Continued Fraction:log_khintchine_mean | +3.4z | bank-miss 1.2σ |
Spirograph:gear_rationality | -3.3z | bank-miss 2.0σ |
Composition
dtypefloat64
range[0, 675.3]
unique values9321 / 16384
mean ± std86.1 ± 137
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_Depths.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Earthquake_Depths.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Earthquake_Depths.png)
Inflation (Substitution) > barcode
/d_curve/Earthquake_Depths.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_Depths.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_Depths.png)
Ulam Spiral (Sacks) > default
/default/Earthquake_Depths.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Sandpile | 3.68 | cross-origin |
| Multiplicative Cascade | 3.82 | cross-origin |
| Earthquake Magnitudes | 3.90 |
Which Geometries Light Up
2-adic › 2-adic:valuation_transition_predictability | rank 305/307 | 0.3408 |
Continued Fraction › Continued Fraction:log_khintchine_mean | rank 4/307 | 1.9462 |
Nonstationarity › Nonstationarity:change_quantiles_high | rank 1/307 | 0.2817 |
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