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.

New thought experiment to test the generalized second law of thermodynamics

We propose an extension of the original thought experiment proposed by Geroch, which sparked much of the actual debate and interest on black hole thermodynamics, and show that the generalized second law of thermodynamics is in compliance with it.

A Law of the Wall Formulation for Recirculating Flows

ABSTRACT: This work presents a new law of the wall formulation for recirculating turbulent flows. An alternative expression for the internal length which can be applied in the separated region is also presented. The formulation is implemented in a numerical code which solves the k-e model through a finite volume method. The theoretical results are compared with the experimental data of Vogel and Eaton (J. of Heat Transfer, Transactions of ASME, vol.107, pp. 922-929, 1985). The paper shows that the present formulation furnishes better results than the standard k-e formulation.

Law of large numbers for certain cylinder flows

We construct new examples of cylinder flows, given by skew product extensions of irrational rotations on the circle, that are ergodic and rationally ergodic along a subsequence of iterates. In particular, they exhibit a law of large numbers. This is accomplished by explicitly calculating, for a subsequence of iterates, the number of visits to zero, and it is shown that such number has a Gaussian distribution.

Does Israel Follow the Law? A Critical Analysis of Israel's Application of the International Law of Belligerent Occupation in the Occupied Territories

Israel's occupation of territories it captured in 1967 has become one of the longest and most controversial occupations of the last fifty years. Eschewing the traditional political analysis of the Israeli-Palestinian conflict, this paper aims to explore whether Israel has adequately applied international law in the occupied territories, in particular, the law of belligerent occupation. The two actors under assessment are the Israeli government, particularly its military which enforces and maintains the law in the territories, and the Supreme Court of Israel, which has the power of review over military actions in the territories. The particular issues of the occupation that are critically analyzed are the general legal framework that Israel established in the territories, Israel's civilian settlement policy in territories, and Israel's construction of a barrier in the West Bank. This paper concludes that Israel has incorrectly applied the legal framework of belligerent occupation by refusing to apply the Fourth Geneva Convention; it has wrongly concluded that the establishment of civilian settlements in the territories conform with international law; yet it has rightly concluded that the construction of the barrier in the West Bank is permissible under international law, in contrast to the conclusion of the much publicized International Court of Justice's Advisory Opinion on the 'Wall.' Along with these general assessments, the author will also provide some historical and political insight into why the Israeli government and the Supreme Court may have applied the law in the way that they did.

The International Law of Culture : Prospects and Challenges

This is a conference review of an event on the international law of culture, which took place in late May 2012 at the University of Göttingen, Germany. The review provides context to it considering the complex landscape of international initiatives of hard and soft law nature, which address culture and their impact on the environment, where cultural rights are to be exercised.

The Law of the WTO and the Communications Law of the EC : On a Path of Harmony or Discord?

This paper presents an overview of the law of the World Trade Organization (WTO) relevant to telecommunications services and correlates this body of law with the current regulatory framework for electronic communications networks and services in the European Community. The latter has been adapted to meet the challenges of technological and market developments in communications, epitomized by the processes of digitization, enhanced transport networks and convergence. The novel solutions embodied in the EC electronic communications regime, notably, a new design of the Significant Market Power mechanism, a projected withdrawal of sector specific regulation and an affirmation of the principle of technological neutrality, pose interesting questions as to the conformity of this reformed EC communications law with the WTO rules on telecommunications services and the obligations of the European Communities and their Member States. Looking beyond the WTO legal compatibility test, essential questions regarding the need for evolution of the WTO telecommunications rules are raised. The present paper contributes to the ongoing debate in that context in light of the EC experience.

Commentary of GATS Article IX : Business Practices

Commentary of Article IX of the General Agreement on Trade in Services (GATS) on business practices, including a textual analysis of the provision, as well as an examination of the pertinent WTO case law and of other related international and regional rules and practices.