A 100 Dollar (CDN) Conjecture About Molecular Dynamics Simulation ------------------------------------------------------------------ An open problem in numerical analysis is to explain why molecular dynamics works. The difficulty is that in molecular dynamics trajectories are only accurate for very short times, whereas the simulations are performed over long time intervals. It is believed that statistical information from these simulations is accurate, but no one has offered a rigorous proof of this. In order to give mathematicians a clear goal in understanding this problem, I will state a precise mathematical conjecture about molecular dynamics simulation of a particular system. I believe that if the conjecture I present is proved, we will then understand why molecular dynamics work. The first person to provide a complete proof will receive 100 Canadian dollars (592.996 Norwegian kroners).