NASDAQ Returns
financial · 36 views
financial
What It Is
NASDAQ Composite daily close-to-close log returns (^IXIC, 1971+). Tech-tilted U.S. index; higher volatility regime than the S&P. Block-bootstrap padded to DATA_SIZE since native history is ~14k bars.
Interpretation
Standard analysis sees: heavy-tailed; left-skewed; aperiodic / broadband; time-irreversible (sharp rises, slow decay); nonstationary / drifting. The atlas finds no named structure, but the source is distinctively extreme on Cayley:spectral_gap (+3.8z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.91
asymmetry0.12
occupancy0.30
short-range corr0.37
long-range memory0.46
spectral colour0.65
periodicity0.11
complexity0.85
time-irreversibility0.88
volatility clustering0.48
multifractality0.48
dimensionality0.56
nonstationarity0.92
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Cayley:spectral_gap | +3.8z | bank-miss 1.0σ |
Boltzmann:coupling_temporal_variance | +2.7z | bank-miss 1.3σ |
Fractal (Mandelbrot):interior_fraction | +2.4z | bank-miss 1.3σ |
Composition
dtypefloat64
range[-0.1315, 0.1325]
unique values13887 / 16384
mean ± std0.000405 ± 0.013
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/NASDAQ_Returns.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/NASDAQ_Returns.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/NASDAQ_Returns.png)
Inflation (Substitution) > barcode
/d_curve/NASDAQ_Returns.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/NASDAQ_Returns.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/NASDAQ_Returns.png)
Ulam Spiral (Sacks) > default
/default/NASDAQ_Returns.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Nikkei Returns | 2.90 | |
| BTC Returns | 3.11 | |
| S&P 500 Returns | 3.45 |
Which Geometries Light Up
Boltzmann › Boltzmann:coupling_temporal_variance | rank 3/298 | 1.7509 |
Cayley › Cayley:growth_exponent | rank 1/298 | 2.1044 |
Cayley › Cayley:spectral_gap | rank 1/298 | 0.0377 |
Cayley › Cayley:saturation_radius | rank 297/298 | 0.0080 |
Fractal (Mandelbrot) › Fractal (Mandelbrot):interior_fraction | rank 3/298 | 0.9797 |
Hyperbolic (Poincaré) › Hyperbolic (Poincaré):mean_hyperbolic_radius | rank 295/298 | 0.1847 |
Nonstationarity › Nonstationarity:ac1_trend | rank 297/298 | -0.4470 |
SL(2,ℝ) (Thurston) › SL(2,ℝ) (Thurston):parabolic_fraction | rank 5/298 | 0.5613 |
Zipf–Mandelbrot (8-bit) › Zipf–Mandelbrot (8-bit):zipf_r_squared | rank 5/298 | 0.9938 |
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