We know that the Newtonian N-body problem cannot be solved in a normal sense. On the other hand, we can find all possible asymptotic behaviors as time goes to infinity of all possible solutions for all possible values of N. That is, we can describe the evolution of Newton's universe. In doing so, I will introduce some of the history of the problem showing where "chaos" came from, etc.

I will begin my talk with a brief overview of WWT during which I aim to give an intuitive picture of the phenomenon using the example of surface water waves. This example will be revisited throughout the talk. Next I will try to give a welcoming (although selective) introduction to the calculations of WWT. Equipped with the results of these calculations, I will discuss the relationship between WWT, power-law spectra (both Kolmogorov-Zakharov and MMT) and intermittency. The challengers to WWT are highly nonlinear events, breakdown and the alternative symmetries of the governing equation. I will make some remarks which point out the interconnectedness of these phenomena and, simultaneously, the goals of my research interests.