We describe how to use dynamical systems to create good quantization of the underlying measure
in the dynamical system. Measuring quantization involves considering various ways to analyze how well a set
of points approximates a distribution. So we consider different quantization error measurements for various
methods of generating sets of points that approximate a fixed distribution. These considerations lead naturally
to questions about shrinking targets in dynamical systems.
This is joint work with Mrinal Roychowdhury, the University of Texas Rio Grande Valley.