Quantization and Shrinking Targets for Dynamical Systems

Date: 
Tuesday, October 23, 2018 - 2:00pm
Location: 
Math Sci 111
Speaker: 
Joseph Rosenblatt
Indiana University-Purdue University Indianapolis and the University of Illinois Urbana-Champaign

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.

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