Law of large numbers for super-brownian motions with a single point source

We investigate the super-Brownian motion with a single point source in dimensions 2 and 3 as constructed by Fleischmann and Mueller in 2004. Using analytic facts we derive the long time behavior of the mean in dimension 2 and 3 thereby complementing previous work of Fleischmann, Mueller and Vogt. Using spectral theory and martingale arguments we prove a version of the strong law of large numbers for the two dimensional superprocess with a single point source and finite variance.

Regulating non-international armed conflicts: a review essay of 'The Law of Non-International Armed Conflict' by Sandesh Sivakumaran

This review essay engages with Sandesh Sivakumaran’s book The Law of Non-International Armed Conflict, exploring its significance both in international humanitarian law and international law more generally.

Prolonged neglect following unilateral disruption of a prefrontal cortical-dorsal striatal system.

We investigated the potential function of the system formed by connections between the medial prefrontal cortex and the dorsomedial striatum in aspects of attentional function in the rat. It has been reported previously that disconnection of the same corticostriatal circuit produced marked deficits in performance of a serial, choice reaction-time task while sparing the acquisition of an appetitive Pavlovian approach behaviour in an autoshaping task (Christakou et al., 2001). Here, we hypothesized that unilateral disruption of the same circuit would lead to hemispatial inattention, contrasting with the global attention deficit following complete disconnection of the system. Combined unilateral lesions of the medial prefrontal cortex (mPFC) and the medial caudate-putamen (mCPu) within the same hemisphere produced a severe and long-lasting contralesional neglect syndrome while sparing the acquisition of autoshaping. These results provide further evidence for the involvement of the medial prefrontal-dorsomedial striatal circuit in aspects of attentional function, as well as insight into the nature of neglect deficits following lesions at different levels within corticostriatal circuitry.

Understanding the seriousness of corporate crime: Some lessons for the new 'corporate manslaughter' offence

The measurement of public attitudes towards the criminal law has become an important area of research in recent years because of the perceived desirability of ensuring that the legal system reflects broader societal values. In particular, studies into public perceptions of crime seriousness have attempted to measure the degree of concordance that exists between law and public opinion in the organization and enforcement of criminal offences. These understandings of perceived crime seriousness are particularly important in relation to high-profile issues where public confidence in the law is central to the legal agenda, such as the enforcement of work-related fatality cases. A need to respond to public concern over this issue was cited as a primary justification for the introduction of the Corporate Manslaughter and Corporate Homicide Act 2007. This article will suggest that, although literature looking at the perceived seriousness of corporate crime and, particularly, health and safety offences is limited in volume and generalist in scope, important lessons can be gleaned from existing literature, and pressing questions are raised that demand further empirical investigation.