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Bridge Explainer Pages

Deep-dive explanations of key cross-domain mathematical bridges in the USDR catalog.

Neuroscience ↔ Statistics
The brain implements approximate Bayesian inference
ESTABLISHED
Statistical Physics ↔ Conservation Biology
Habitat fragmentation is a percolation phase transition
PROPOSED2 Crosscheck protocols
Statistical Physics ↔ Social Science
The Ising model of ferromagnetism describes opinion dynamics, social norm adoption, and political polarisation
PROPOSED1 Crosscheck protocol
Cosmology ↔ Condensed Matter Physics
The Kibble-Zurek mechanism connects early-universe cosmology to embryonic symmetry breaking
PROPOSED
Statistical Physics ↔ Epidemiology
Network percolation theory and epidemic threshold theory are the same mathematical object
PROPOSED1 Crosscheck protocol
Biology ↔ Mathematics
The replicator equation ẋᵢ = xᵢ(fᵢ - f̄) governs strategy frequencies in evolutionary game theory, population genetics,
ESTABLISHED
Epidemiology ↔ Network Science
The SIR epidemic model is bond percolation on a contact network
ESTABLISHED