In 2008, Short et. al. introduced an agent based model of residential burglary founded on the principle of repeat and near-repeat victimization [1]. The model has a natural continuum limit, giving rise to a system of nonlinear PDE. Later, Jones et. al. explored methods of incorporating law enforcement into this model [2]. Here, we expand the work of Jones et. al. by exploring more fully the con...

Articles you may be interested in Meso-level simulation of gas hydrate dissociation inlow-permeability sediments Theor. Dissociation pressures of some gas hydrates have been evaluated using the Lennard-Jones 12-6 28-7 and Kihara potentials in the Lennard-Jones-Devonshire cell model. The Lennard-Jones 28-7 pot~ntial 'gives the least satisfactory results. The Lennard-Jones 12-6 potential works sa...

CD0-type spaces were firstly introduced by Yu. A. Abramovich and A. W. Wickstead in [1] and [2] and further investigated by S. Alpay and Z. Ercan in [3]. CD0-type spaces deserve to be called Abramovich–Wickstead spaces, or briefly AW -space as in [4], since they mainly stem from the works of Yu. A. Abramovich and A. W. Wickstead. In this note we construct a new type AW -space and call it CDr 0 ...

Zhedanov’s algebra AW (3) is considered with explicit structure constants such that, in the basic representation, the first generator becomes the second order q-difference operator for the Askey–Wilson polynomials. It is proved that this representation is faithful for a certain quotient of AW (3) such that the Casimir operator is equal to a special constant. Some explicit aspects of the double ...

We describe a prediction method called “Attractivity Weighting” (AW). In the case of cue-based paired comparison tasks, AW predicts a weighted average of the cue values of the most successful cues. In many situations, AW’s prediction is based on the cue value of the most successful cue, resulting in behavior similar to Take-the-Best (TTB). Unlike TTB, AW has a desirable characteristic called “a...

A model of random walk on knot diagrams is used to study the Alexander polynomial and the colored Jones polynomial of knots. In this context, the inverse of the Alexander polynomial of a knot plays the role of an Ihara-Selberg zeta function of a directed weighted graph, counting with weights cycles of random walk on a 1-string link whose closure is the knot in question. The colored Jones polyno...