NETWORKSADVANCED

Percolation / Tipping Points

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

hub
hubs spread, bridges surprise · recreated schematic

How it works

  • Add random links; clusters merge slowly, then one giant component snaps into being.
  • The snap point is the tipping threshold.
  • Just past it, shocks travel everywhere at once.
Use → Fragility audits, buffers, circuit breakers.
Watch out → Linear extrapolation through a threshold — 'a bit more' becomes 'everything'.
Try it → Keep a checklist of buffers whenever connectivity passes ~50%.
REDCAPE jobs → Explain · Predict
Free sources → Coursera M4 (Tipping Points) • SFI Nonlinear Dynamics
◍ Mentor soonSee REDCAPE playbook →

Attach to a lattice — combines with

Different families, shared jobs. Disagreement between them is where insight lives.

DISTRIBUTIONS
Entropy & Uncertainty
Entropy scores surprise: equilibrium, cyclic, random and complex outcomes sit at different levels of uncertainty.
SHARED JOBS: EXPLAIN · PREDICT
GROWTH
Exponential & Solow Growth
Compounding plus capital, labor and ideas explain why some economies stall.
SHARED JOBS: EXPLAIN · PREDICT
SORTING & PEER EFFECTS
Granovetter Threshold
Each person has a join threshold; cascades depend on the distribution, not the average.
SHARED JOBS: EXPLAIN · PREDICT

More in Networks

Network Structure & Formation
Degree, clustering, bridges and formation logic predict what flows — and what breaks.
Preferential Attachment
New links favor already-linked nodes, manufacturing power laws from pure growth.
← Preferential AttachmentBroadcast Model →