First of all I have to excuse that the physics friday has become a physics saturday night. Reason for the delay has been a business trip to the UK.
I think a good starting point here would be to give you a small example of classical chaos - this brings us to play around with billiards. A billiard can be described as a number of particles moving around in a region confined by hard walls.
The picture shows a phase space map for a rectangular billiard with aspect ratio β=2 and μ=6. The color map indicates the phase-space distance ∆ (as a measure whether an initial point in the phase space leads to chaotic or regular motion) between two orbits having a small initial perturbation. (b) Ordered phase-space distances for all the cells plotted in (a). The dashed line shows the threshold (∆ = 0.1) between chaotic and regular motion.
To see how this classical picture relates to a quantum mechanical one and how one can use the concepts applied there for improving portfolio optimization you should mark next friday red in your calendar.