SIR Epidemic
continuous-flows · 37 views
continuous-flowsstochastic
What It Is
Stochastic SIRS model (waning immunity) --- recurrent infection waves with exponential rise, peak, and exponential decay
Interpretation
Standard analysis sees: heavy-tailed; smooth / autocorrelated; long-range memory (persistent); volatility-clustering (bursty); nonstationary / drifting. The atlas additionally detects Higher-Order Statistics:c3_energy.
What standard analysis sees
tail heaviness0.89
asymmetry0.85
occupancy0.42
short-range corr0.87
long-range memory0.93
spectral colour0.20
periodicity0.73
complexity0.58
time-irreversibility0.78
volatility clustering0.90
multifractality0.43
dimensionality0.25
nonstationarity0.99
What the atlas adds
Higher-Order Statistics:c3_energy+4.2z
third-cumulant burst energy (SOC irreducibility signature)
Atlas-extreme metrics the standard bank can’t predict for this source
G2 Root System:pair_angle_kurtosis | +8.2z | bank-miss 1.0σ |
Moiré:moire_integer_excess | -3.5z | bank-miss 1.5σ |
Navier-Stokes:cascade_asymmetry | +3.2z | bank-miss 1.7σ |
Isochronicity:amplitude_exploration | +2.7z | bank-miss 1.9σ |
Composition
dtypefloat64
range[0, 8.244]
unique values628 / 16384
mean ± std0.417 ± 1.42
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/SIR_Epidemic.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/SIR_Epidemic.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/SIR_Epidemic.png)
Inflation (Substitution) > barcode
/d_curve/SIR_Epidemic.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/SIR_Epidemic.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/SIR_Epidemic.png)
Ulam Spiral (Sacks) > default
/default/SIR_Epidemic.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Barometric Pressure (Buoy) | 3.74 | cross-origin |
| Pressure | 3.90 | cross-origin |
| Seismic b-value (SoCal) | 4.03 | cross-origin |
Which Geometries Light Up
Catch24 › Catch24:DN_OutlierInclude_n_001_mdrmd | rank 307/307 | -0.8051 |
Catch24 › Catch24:DN_OutlierInclude_p_001_mdrmd | rank 307/307 | -0.9744 |
H² × ℝ (Thurston) › H² × ℝ (Thurston):hyperbolic_step_dispersion | rank 303/307 | 0.0387 |
Isochronicity › Isochronicity:amplitude_exploration | rank 4/307 | 1.2620 |
Moiré › Moiré:moire_integer_excess | rank 305/307 | -0.3921 |
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