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Séminaire du LJLL - 14 02 2020 14h00 : M.R. D’Orsogna
Maria Rita D’Orsogna (Université de l’Etat de Californie, Northridge)
Mathematical models of criminal behavior
Résumé
Applying mathematical tools to criminology is a relatively new but promising and exciting avenue of research. In this talk we present several models that are meant to mathematically frame and analyze basic sociological findings such as the broken windows effect and repeat victimization theories. We discuss agent based and partial differential equations models to study burglary and the spread of opportunistic crime, game theories to investigate the role of informants within a violent society, stochastic simulations to model recidivism and rehabilitation efforts. Where available we have used actual criminological data to guide our modeling efforts. Some of our results are confirmed by experimental realizations conducted on actual human subjects in a behavioral laboratory.