Greg Laughlin, Professor of Astronomy, Yale University will discuss and connect two long-standing, and at first glance, entirely unrelated, problems of prediction: (1) the long-term dynamical stability of the Solar System, and (2) price movements and volatility in financial markets. These phenomena are radically different, but share a key common basis in the random walk, and the study of both can be traced directly back to the work of Henri Poincaré.