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March Madness Without Monte Carlo
The incidence matrix of an NCAA bracket Petri net connects ODE, Monte Carlo, and analytical methods — and makes simulation redundant. A closed-form formula derived from the bracket topology replaces 150,000 stochastic transitions with 256 exact configurations.
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Paper: Incidence Reduction via Petri Net ODE Equilibrium
A draft paper formalizing incidence reduction — extracting exact strategic values from game topologies — validated on tic-tac-toe, poker, Connect Four, and Hex.