Potomac River Flow
geophysical · 37 views
geophysicalstochastic
What It Is
USGS gauge 01646500 --- real 15-min discharge, Potomac near DC, 2024 (public domain)
Interpretation
Standard analysis sees: smooth / autocorrelated; long-range memory (persistent); time-irreversible (sharp rises, slow decay); volatility-clustering (bursty); multifractal; nonstationary / drifting. The atlas finds no named structure, but the source is distinctively extreme on Navier-Stokes:cascade_asymmetry (+4.0z) — beyond what the standard bank predicts for it. It sits beside Pressure in the atlas (standard-bank rank 42) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.52
asymmetry0.75
occupancy0.63
short-range corr0.93
long-range memory0.96
spectral colour0.24
periodicity0.80
complexity0.35
time-irreversibility0.85
volatility clustering0.92
multifractality0.89
dimensionality0.16
nonstationarity0.97
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Navier-Stokes:cascade_asymmetry | +4.0z | bank-miss 1.8σ |
S² × ℝ (Thurston):height_drift | -2.1z | bank-miss 1.3σ |
Composition
dtypefloat64
range[6.707, 11.05]
unique values620 / 16384
mean ± std7.9 ± 0.758
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/Potomac_River_Flow.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Potomac_River_Flow.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Potomac_River_Flow.png)
Inflation (Substitution) > barcode
/d_curve/Potomac_River_Flow.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/Potomac_River_Flow.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/Potomac_River_Flow.png)
Ulam Spiral (Sacks) > default
/default/Potomac_River_Flow.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| ETH/BTC Ratio | 3.10 | cross-origin |
| Regime Switching | 3.52 | cross-origin |
| Pressure | 3.58 | cross-origin |
Which Geometries Light Up
Catch24 › Catch24:PD_PeriodicityWang_th0_01 | rank 1/307 | 3990.0000 |
Catch24 › Catch24:DN_OutlierInclude_n_001_mdrmd | rank 3/307 | 0.3344 |
Catch24 › Catch24:FC_LocalSimple_mean1_tauresrat | rank 303/307 | 0.0003 |
Chladni › Chladni:nodal_clustering | rank 5/307 | 7.7430 |
Mostow Rigidity › Mostow Rigidity:laplacian_perturbation_stability | rank 304/307 | 0.6585 |
Navier-Stokes › Navier-Stokes:cascade_asymmetry | rank 3/307 | 0.9685 |
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