Kolmogorov’s Blueprint: The Math Behind Rare Events and Athena’s Edge
In the intricate dance of probability and system stability, Kolmogorov’s mathematical framework provides a foundational blueprint for modeling rare events—those unpredictable shocks that shape everything from financial markets to engineering systems. At its core, this framework relies on eigenvalues and matrix analysis to decode how systems respond to perturbations, revealing thresholds where chaos may emerge. […]
