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.

The vulnerable subject of negligence law

The approach taken by English courts to the duty of care question in negligence has been subject to harsh criticism in recent years. This article examines this fundamental issue in tort law, drawing upon Canadian and Australian jurisprudence by way of comparison. From this analysis, the concept of vulnerability is developed as a productive means of understanding the duty of care. Vulnerability is of increasing interest in legal and political theory and it is of particular relevance to the law of negligence. In addition to aiding doctrinal coherence, vulnerability – with its focus on relationships and care – has the potential to broaden the way in which the subject of tort law is conceived because it challenges dominant assumptions about autonomy as being prior to the relationships on which it is dependent.

The international law implications of the Turkish/Kurdish conflict

This article considers the threaties and customs governing armed conflict in the context of the long standing insurgency in southeast Turkey. The first part of the article analyzes the existing treaty and customary law concerning the threshold of an armed conflict and concludes that the insurgency in Southeast Turkey existing since 1984 rises to the level of an armed conflict based on criteria identified both in treaty and customary international law. The next consideration is the classification of this conflict and this part concludes that this situation is a non-international armed conflict due to lack of involvement of forces of another country. Finally, this article considers international humanitarian law applicable to this non-international armed conflict and reveals that as a result of the monumental International Committee of the Red Cross customary humanitarian law study, particularly with respect to the law of targeting, that the rules applicable to international and non-international armed conflict have never been closer.

Humanitarian law, human rights law and the bifurcation of armed conflict

This article offers a fresh examination of the distinction drawn in international humanitarian law (IHL) between international and non-international armed conflicts. In particular, it considers this issue from the under-explored perspective of the influence of international human rights law (IHRL). It is demonstrated how, over time, the effect of IHRL on this distinction in IHL has changed dramatically. Whereas traditionally IHRL encouraged the partial elimination of the distinction between types of armed conflict, more recently it has been invoked in debates in a manner that would preserve what remains of the distinction. By exploring this important issue, it is hoped that the present article will contribute to the ongoing debates regarding the future development of the law of non-international armed conflict.

Dynamics of potassium leaching on a hillslope grassland soil

There have been only a few studies of potassium (K) losses from grassland systems, and little is known about their dynamics, especially in relation to nitrogen (N) management. A study was performed during the autumn and winter of 1999 and 2000 to understand the effects of N and drainage on the dynamics of K leaching on a hillslope grassland soil in southwestern England. Two N application rates were studied (0 and 280 kg N ha(-1) yr(-1)), both with and without the drainage. Treatments receiving N also received farmyard manure (FM). Higher total K losses and K concentrations in the leachates were found in the N + FM treatments (150 and 185% higher than in 0 N treatments), which were related to K additions in the FM. Drainage reduced K losses by 35% because of an increase in dry matter production and a reduction in overland and preferential flow. The pattern of change in K concentration in the leachates was associated with preferential flow at the beginning of the drainage season and with matrix flow later in winter, and was best described by a double exponential curve. Rainfall intensity and the autumn application of FM were the main determinants of K losses by leaching. The study provided new insights into the relationships between soil hydrology, rainfall, and K leaching and its implications for grassland systems.