Ornstein-Uhlenbeck
stochastic-process · 37 views
stochastic-processstochastic
What It Is
Ornstein-Uhlenbeck process --- mean-reverting diffusion with stationary Gaussian distribution, the continuous-time analog of an AR(1) process. Bounded excursions unlike Brownian motion
Interpretation
Standard analysis sees: no strongly notable standard properties. The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.57
asymmetry0.56
occupancy0.58
short-range corr0.69
long-range memory0.67
spectral colour0.35
periodicity0.44
complexity0.71
time-irreversibility0.29
volatility clustering0.66
multifractality0.51
dimensionality0.73
nonstationarity0.57
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[-9.909, 9.634]
unique values16384 / 16384
mean ± std0.0799 ± 2.56
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/Ornstein-Uhlenbeck.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Ornstein-Uhlenbeck.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Ornstein-Uhlenbeck.png)
Inflation (Substitution) > barcode
/d_curve/Ornstein-Uhlenbeck.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/Ornstein-Uhlenbeck.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/Ornstein-Uhlenbeck.png)
Ulam Spiral (Sacks) > default
/default/Ornstein-Uhlenbeck.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Pink Noise | 2.75 | |
| ARMA(2,1) | 3.09 | |
| EEG Resting | 3.37 | cross-origin |
Which Geometries Light Up
This source does not rank extreme on any metric.
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