
TDA-Information-Dynamics v1.1.0 What is New Added publication-ready LaTeX paper in paper/ folder Paper: TDA-CUSUM Universal Framework A framework combining Topological Data Analysis with sequential change-point detection for early warning of critical transitions. Validated Systems | System | Transition | Early Warning | |--------|------------|---------------| | Brusselator | Hopf | +1.72 | | FitzHugh-Nagumo | Hopf | +0.41 | | XY Model | BKT | +0.21 | | Kuramoto | Sync | +0.50 | | Lennard-Jones | Crystal | 73-100% | Central Result In ALL systems: t_CUSUM < t_physical Topological signatures precede traditional bifurcation indicators. Author Francisco Molina-Burgos Avermex Research Division Merida, Yucatan, Mexico January 2026
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