Crime hot-spots with or without Levi Flights

Hot Topics in Computational Criminology

授课人:Theodore Kolokolnikov

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Applied;    Social Sciences;    Applied Mathematics;   

加拿大|英语

【 摘 要 】

In the first part of the talk, we consider the Short et.al. model of crime. This model exhibits hot-spots of crime -- localized areas of high criminal activity. In a certain asymptotic limit, we use singular perturbation theory to construct the profile of these hot-spots and then study their stability.In the second part of the talk, we extend the original model to incorporate biased Levi Flights for the criminal's motion. Such motion is considered to be more realistic than the biased diffusion that was originally proposed. This generalization leads to fractional Laplacians. We then investigate the effect of introducing the Levi Flights on the formation of hot-spots using linear stability and full numerics.Joint works with Jonah Breslau, Tum Chaturapruek, Daniel Yazdi, Scott McCalla, Michael Ward and Juncheng Wei.

【 授权许可】

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