Sun Jan 1 17:04:12 EST 2012

Density of discrete entities

There's something funny going on with the concept of density for a
finite amount of particles.  How is the "blurring" regularization for
this to work usually handled?

I guess that moving to a statistical interpretation solves this
problem.  The density is not a property of the particles, but one of
the probability distrubution that is used as a model of the particles.

I.e. model 10 particles by thinking of them as a (random) a sampling
from a PDF, then talk about the PDF instead.