Here I go answering my own question.

To make it more dense toward the origin, use {x,y} = {random[]^2,
random[]^2}--squaring the independently generated numbers (random[]*random[]
won't work). The result is a distribution with a sharp cusp at the
origin--the probability is a maximum there, and has a discontinuous
derivative. You can use higher powers for narrower (and sharper)
distributions.

Damn useful I say!
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