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The Mathematics of Crime

PDE and Applied Math Seminar

Speaker: Andrea Bertozzi, UCLA
Location: 1147 MSB
Start time: Tue, Oct 15 2013, 3:10PM

There is an extensive applied mathematics literature developed for problems in the biological and physical sciences. Our understanding of social science problems from a mathematical standpoint is less developed, but also presents some very interesting problems, especially for young researchers. This talk uses crime as a case study for using applied mathematical techniques in a social science application and covers a variety of mathematical methods that are applicable to such problems. We will review recent work on agent based models, methods in linear and nonlinear partial differential equations, variational methods for inverse problems and statistical point process models. From an application standpoint we will look at problems in residential burglaries and gang crimes. Examples will consider both 'bottom up' and 'top down' approaches to understanding the mathematics of crime, and how the two approaches could converge to a unifying theory.