Levy Flight
exotic · 36 views
exotic
What It Is
Random walk with Cauchy-distributed jumps --- infinite variance, occasional extreme leaps create fractal clustering of visited sites
Interpretation
Standard analysis sees: smooth / autocorrelated; long-range memory (persistent); volatility-clustering (bursty); multifractal; nonstationary / drifting. The atlas detects no named structure beyond this. It sits beside ETH/BTC Ratio in the atlas (standard-bank rank 56) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.38
asymmetry0.31
occupancy0.81
short-range corr0.89
long-range memory0.93
spectral colour0.23
periodicity0.77
complexity0.64
time-irreversibility0.65
volatility clustering0.87
multifractality0.89
dimensionality0.18
nonstationarity0.92
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[-1150, 236.3]
unique values16058 / 16384
mean ± std-481 ± 256
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/Levy_Flight.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Levy_Flight.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Levy_Flight.png)
Inflation (Substitution) > barcode
/d_curve/Levy_Flight.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/Levy_Flight.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/Levy_Flight.png)
Ulam Spiral (Sacks) > default
/default/Levy_Flight.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Regime Switching | 2.20 | cross-domain |
| ETH/BTC Ratio | 2.67 | cross-domain |
| BTC Close Price | 3.06 | cross-domain |
Which Geometries Light Up
Catch24 › Catch24:CO_f1ecac | rank 3/298 | 2377.2571 |
Catch24 › Catch24:SB_BinaryStats_mean_longstretch1 | rank 3/298 | 5368.3600 |
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