Seminario de Matemáticas

TITULO: The Mathematics of Crime
EXPOSITOR: George Mohler (Santa Clara University)

Resumen:
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. In this talk we focus on crime patterns that can be studied by routine activity theory namely that offenders are led to choose targets based on routine activities they perform throughout their day, leading to natural classes of models that build on prior work in ecology, population biology, and statistical physics. At the same time, it is important to understand the role of modern statistical methods in analyzing real police data. Therefore we consider both bottom up and top down approaches to understanding crime patterns, including agent-based models, partial differential equations, and point processes.