Library / Diffusion / Percolation / Tipping Points

Percolation / Tipping Points

Sparse links suddenly gel into a giant component — bank networks and blackouts tip fast.

hub
hubs spread, bridges surprise · recreated schematic
INTERACTIVE LAB

Tolerance sandbox (original recreation)

happy 76% • avg. similar neighbors 49% • red ring = wants to move

DIFFUSION

When to use / misuse

Use → Fragility audits, buffers, circuit breakers.

Difficulty → Advanced

REDCAPE → Explain · Predict

agent: percolation-checker
family: Diffusion
combine_with: [two other families]
rule: state failure mode before acting

Free sources: Coursera M4 (Tipping Points) • SFI Nonlinear Dynamics

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Attach to a lattice — combines with

Different families, shared jobs. Click to open alongside.

GROWTH
Exponential & Solow Growth
Compounding plus capital, labor and ideas explain why some economies stall.
SHARED JOBS: EXPLAIN · PREDICT
NETWORKS
Granovetter Threshold
Each person has a riot threshold; cascades depend on the distribution, not the average.
SHARED JOBS: EXPLAIN · PREDICT
DISTRIBUTIONS
Power Law / Long Tail
Rich-get-richer: a few huge winners, many tiny players. Straight line on log-log.
SHARED JOBS: EXPLAIN · PREDICT

More in Diffusion

SIR Contagion
Susceptible–Infected–Recovered with an R0 tipping point. Same math for flu and pop-star fever.
Bass Diffusion (S-Curve)
Innovators plus imitators make the S-curve. Spend early on seeds, later on social proof.
Cellular Automata & Game of Life
Tiny local rules aggregate into gliders, blinkers and chaos. Emergence needs no boss.
← Bass Diffusion (S-Curve)Cellular Automata & Game of Life →