Dynamical Systems Seminar-Quantization and Shrinking Targets for Dynamical Systems

Title: Quantization and Shrinking Targets for Dynamical Systems
Speaker: Joe Rosenblatt, Indiana University-Purdue University Indianapolis and the University of Illinois Urbana-Champaign
Date and Time: Friday, November 16, 9:00–10:15am
Reschedule Date and Time: Monday November 19, 11:00am-12:15pm
Place: Phillips 730

Abstract: 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 naturallyto questions about shrinking targets in dynamical systems.