P. Jeffrey Brantingham

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Motivated by empirical observations of spatio-temporal clusters of crime across a wide variety of urban settings, we present a model to study the emergence, dynamics, and steady state properties of crime hotspots. We focus on a two-dimensional lattice model for residential burglary, where each site is characterized by a dynamic attractiveness variable, and(More)
The mechanisms driving the nucleation, spread, and dissipation of crime hotspots are poorly understood. As a consequence, the ability of law enforcement agencies to use mapped crime patterns to design crime prevention strategies is severely hampered. We also lack robust expectations about how different policing interventions should impact crime. Here we(More)
We present a weakly nonlinear analysis of our recently developed model for the formation of crime patterns. Using a perturbative approach, we find amplitude equations that govern the development of crime " hotspot " patterns in our system in both the one-dimensional (1D) and two-dimensional (2D) cases. In addition to the supercritical spots already shown to(More)
One million years ago, proboscideans occupied most of Africa, Europe, Asia, and the Americas. Today, wild elephants are only found in portions of sub-Saharan Africa and South Asia. Although the causes of global Pleistocene extinctions in the order Proboscidea remain unresolved, the most common explanations involve climatic change and/or human hunting. In(More)
This paper reports the results of a study that explored the relationships among property crime, the accessibility of street networks and the concentration of potential targets. It is hypothesized that the design of street networks Influences how people move about within a city and, consequently , their familiarity with specific areas. It was further argued(More)
Territorial animals and street gangs exhibit similar behavioral characteristics. Both organize themselves around a home base and mark their territories to distinguish claimed regions. Moorcroft et al. model the formation of territories and spatial distributions of coyote packs and their markings in [24]. We modify this approach to simulate gang dynamics in(More)
This paper introduces a new game-theoretic framework and algorithms for addressing opportunistic crime. The Stackelberg Security Game (SSG), which models highly strategic and resourceful adversaries , has become an important computational framework within multiagent systems. Unfortunately, SSG is ill-suited as a framework for handling opportunistic crimes,(More)
We introduce a point process model for inter-gang violence driven by retaliation – a core feature of gang behavior – and multi-party inhibition. Here, a coupled system of state-dependent jump stochastic differential equations is used to model the conditional intensities of the directed network of gang rivalries. The system admits an exact simulation(More)
In this article we identify social communities among gang members in the Hollen-beck policing district in Los Angeles, based on sparse observations of a combination of social interactions and geographic locations of the individuals. This information, coming from LAPD Field Interview cards, is used to construct a similarity graph for the individuals. We use(More)