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; right-skewed; smooth / autocorrelated; long-range memory (persistent); time-irreversible (sharp rises, slow decay); volatility-clustering (bursty); nonstationary / drifting. The atlas additionally detects Higher-Order Statistics:c3_energy. It sits beside Seismic b-value (SoCal) in the atlas (standard-bank rank 23) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.93
asymmetry0.96
occupancy0.32
short-range corr0.90
long-range memory0.93
spectral colour0.21
periodicity0.65
complexity0.60
time-irreversibility0.87
volatility clustering0.91
multifractality0.59
dimensionality0.30
nonstationarity0.99
What the atlas adds
Higher-Order Statistics:c3_energy+4.3z
third-cumulant burst energy (SOC irreducibility signature)
Atlas-extreme metrics the standard bank can’t predict for this source
Moiré:moire_integer_excess | -3.5z | bank-miss 1.2σ |
Navier-Stokes:cascade_asymmetry | +3.2z | bank-miss 1.2σ |
Isochronicity:amplitude_exploration | +2.8z | bank-miss 2.1σ |
Wasserstein:distributional_stationarity | -2.7z | bank-miss 1.3σ |
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) | 3.73 | cross-origin |
| Pressure | 3.90 | cross-origin |
| Seismic b-value (SoCal) | 4.04 | cross-origin |
Which Geometries Light Up
Catch24 › Catch24:DN_OutlierInclude_n_001_mdrmd | rank 306/306 | -0.8051 |
Catch24 › Catch24:DN_OutlierInclude_p_001_mdrmd | rank 306/306 | -0.9744 |
H² × ℝ (Thurston) › H² × ℝ (Thurston):hyperbolic_step_dispersion | rank 302/306 | 0.0387 |
Isochronicity › Isochronicity:amplitude_exploration | rank 4/306 | 1.2620 |
Moiré › Moiré:moire_integer_excess | rank 304/306 | -0.3921 |
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources