Properties of sparse random matrices over finite fields

Typical properties of sparse random matrices over finite (Galois) fields are studied, in the limit of large matrices, using techniques from the physics of disordered systems. For the case of a finite field GF(q) with prime order q, we present results for the average kernel dimension, average dimension of the eigenvector spaces and the distribution of the eigenvalues. The number of matrices for a given distribution of entries is also calculated for the general case. The significance of these results to error-correcting codes and random graphs is also discussed.

Navigating equality:religious young women's perceptions of gender and sexuality equality

Equality has become an important concept within secular-liberal societies (Perrons 2005), with white, secular Western women interpellated as quintessentially embodying this equality (Gill and Scharff 2011; McRobbie 2011; Nayak and Kehily 2008). For religious organizations, the interacting spaces of gender and sexuality constitute two of the most contested terrains in rights-giving, and many religions are seen as less progressive regarding equality vis-à-vis other social institutions (Plummer 2003; Tosh and Keenan 2003; Weeks2007). Young religious women have to articulate how they fit into the contours of secular-liberal equality norms as religious subjects. This chapter will focus on how young religious women living in the UK made sense of equality in the context of their religion, focusing on attitudes to gender equality and sexuality equality.