The geography of reported domestic violence in Brisbane: a social justice perspective

Police call data and court data are used to map the incidence of reported domestic violence in Brisbane. These data are correlated with low family income, unemployment and a measure of multiple disadvantage (an Index of Relative Socio-Economic Disadvantage) for each Statistical Local Area (suburb) in Brisbane. Only the Index of Relative Socio-Economic Disadvantage is a statistically significant predictor of reported domestic violence. The finding of a significantly higher incidence of reported domestic violence among relatively worse-off families is investigated within a social justice context. A measure of multiple relative disadvantage is shown to better reflect the negative impacts of structural inequalities on families in explaining the reported occurrence of domestic violence.

Derivation of the probability distribution function for the local density of states of a disordered quantum wire via the replica trick and supersymmetry

We consider the statistical properties of the local density of states of a one-dimensional Dirac equation in the presence of various types of disorder with Gaussian white-noise distribution. It is shown how either the replica trick or supersymmetry can be used to calculate exactly all the moments of the local density of states.' Careful attention is paid to how the results change if the local density of states is averaged over atomic length scales. For both the replica trick and supersymmetry the problem is reduced to finding the ground state of a zero-dimensional Hamiltonian which is written solely in terms of a pair of coupled spins which are elements of u(1, 1). This ground state is explicitly found for the particular case of the Dirac equation corresponding to an infinite metallic quantum wire with a single conduction channel. The calculated moments of the local density of states agree with those found previously by Al'tshuler and Prigodin [Sov. Phys. JETP 68 (1989) 198] using a technique based on recursion relations for Feynman diagrams. (C) 2001 Elsevier Science B.V. All rights reserved.