Is there a link between unemployment and criminality in the us economy? Further evidence

Using Markov-Switching models, this paper studies the existence of a relationship between the unemployment rate and four different types of crimes in the U.S. economy. After it, using the non-parametric Concordance Index of Harding and Pagan (2002, 2006), the correlation between the cycles of unemployment rate and crime variables is determined. Results confirm that there is no significant relationship between the unemployment rate, burglary and motor-vehicle theft. However, the unemployment rate has a significant relationship with robbery and larceny. The contemporaneous relationship is positive for robbery and negative for larceny. However, it turns to be positive between the lagged values of the unemployment rate and larceny.Markov-Switching Models, Cycles, Unemployment, Crime.

An Entourage Approach to the Contraction Principle in Uniform Spaces Endowed with a Graph

In this paper, we study Banach contractions in uniform spaces endowed with a graph and give some sufficient conditions for a mapping to be a Picard operator. Our main results generalize some results of [J. Jachymski, "The contraction principle for mappings on a metric space with a graph", Proc. Amer. Math. Soc. 136 (2008) 1359-1373] employing the basic entourages of the uniform space.Comment: 20 page

Fixed Points for Ciric-G-Contractions in Uniform Spaces Endowed with a Graph

In this paper, we generalize the notion of $\lambda$-generalized contractions introduced by \'Ciri\'c from metric to uniform spaces endowed with a graph and discuss on the existence and uniqueness of fixed points for this type of contractions using the basic entourages.Comment: 12 page

Manipulation of Giant Faraday Rotation in Graphene Metasurfaces

Faraday rotation is a fundamental magneto-optical phenomenon used in various optical control and magnetic field sensing techniques. Recently, it was shown that a giant Faraday rotation can be achieved in the low-THz regime by a single monoatomic graphene layer. Here, we demonstrate that this exceptional property can be manipulated through adequate nano-patterning, notably achieving giant rotation up to 6THz with features no smaller than 100nm. The effect of the periodic patterning on the Faraday rotation is predicted by a simple physical model, which is then verified and refined through accurate full-wave simulations.Comment: 4 pages, 5 figures, submitted to Applied Physics Letter

Tunable plasmon-enhanced birefringence in ribbon array of anisotropic 2D materials

We explore the far-field scattering properties of anisotropic 2D materials in ribbon array configuration. Our study reveals the plasmon-enhanced linear birefringence in these ultrathin metasurfaces, where linearly polarized incident light can be scattered into its orthogonal polarization or be converted into circular polarized light. We found wide modulation in both amplitude and phase of the scattered light via tuning the operating frequency or material's anisotropy and develop models to explain the observed scattering behavior

Dynamic modelling of biochemical reaction networks and sampling methods for constraint-based models

This dissertation is a partial fulfillment of the requirements for the degree of Doctor of Philosophy (PhD). This study is carried out at the Department of Mathematics, University of Bergen. The subject of the thesis is dynamic Modelling of biochemical reaction networks and sampling methods for constraint-based models.Doktorgradsavhandlin