IID Student-t noise, df=3 --- symmetric heavy tails (finite variance, infinite kurtosis), a milder-tailed companion to Stable Noise. Antithetic-symmetrized so in-sample skew, mean, and time-irreversibility are exactly zero. The second heavy-tail contrast control: agreement between two distinct tail laws keeps a downstream verdict from hinging on one mechanism.









_(centered)/signed_log_z/Student-t_Noise.png)
_(centered)/xy_path/Student-t_Noise.png)

/barcode/Student-t_Noise.png)
/d_curve/Student-t_Noise.png)








/phi_spectrum/Student-t_Noise.png)










/default/Student-t_Noise.png)
/default/Student-t_Noise.png)


| Nearest neighbor | Distance | |
|---|---|---|
| Stable Noise | 2.24 | |
| BTC Returns | 2.58 | cross-origin |
| NASDAQ Returns | 2.99 | cross-origin |
Fisher Information › Fisher Information:geodesic_velocity | rank 3/307 | 1.6483 |
Fractal (Mandelbrot) › Fractal (Mandelbrot):interior_fraction | rank 2/307 | 0.9937 |
Hyperbolic (Poincaré) › Hyperbolic (Poincaré):mean_hyperbolic_radius | rank 306/307 | 0.1087 |
SL(2,ℝ) (Thurston) › SL(2,ℝ) (Thurston):parabolic_fraction | rank 2/307 | 0.7484 |
SL(2,ℝ) (Thurston) › SL(2,ℝ) (Thurston):cocycle_growth_burstiness | rank 303/307 | 0.0090 |
SL(2,ℝ) (Thurston) › SL(2,ℝ) (Thurston):cocycle_growth_rate | rank 305/307 | 0.0147 |
Sol (Thurston) › Sol (Thurston):path_length | rank 304/307 | 8609.0549 |