Sure. But the zero just means displacement from the mean. A car's suspension is a damped oscillation but that doesn't mean it goes through the road when you run over a squirrel.
Agreed. But because price variance observes a Cauchy distribution, rather than a Gaussian one, so the "mean" is meaningless (pardon the pun) and can only be determined retrospectively from the oscillations.
What is more interesting to me is why, when the oscillation has about died away, the tendency seems to be for things to fly off in one direction or the other. I don't seen any obvious mechanism.
The mechanism is the butterfly effect in Chaos theory (which I confess I don't have more than an overview of). It is the butterfly effect. I think we saw this at $97 when someone bought 5,000 coins and a run to $166 resulted.
Nononono.
Obviously it's a Dirac function applied in order to be able to characterize the system's function.
How are we suppose to program good trading bots otherwise?