Travelling wave solutions to the KPP equation with branching noise arising from initial conditions with compact support

We consider the one-dimensional KPP-equation driven by space-time white noise and extend the construction of travelling wave solutions arising from Heavyside initial data from [Tribe, 1996, MR1396765] to non-negative continuous functions with compact support. As an application the existence of travelling wave solutions is used to prove that the support of any solution is recurrent. As a by-product, several upper measures are introduced that allow for a stochastic domination of any solution to the SPDE at a fixed point in time.Comment: 28 page

You can’t cyber in here, this is the War Room! A rejection of the effects doctrine on cyberwar and the use of force in international law

There is a growing consensus in the literature on the applicability of the jus ad bellum to cyber-attacks that the effects caused by an attack should determine whether the attack constitutes a use of force (Article 2(4) of the UN Charter) or an armed attack giving rise to self-defence (Article 51 of the UN Charter). This article argues that this approach is inconsistent and dangerous. The push to include cyber-attacks in the existing framework on the use of force disregards the consensus on other non-conventional uses of force like economic sanctions and damage caused by espionage, and it is premised on dangerous hyperbole in sensational media stories. Such an approach ignores serious practical problems regarding the attribution of cyber-attacks and would open the door wide for abuse. There is no reason to weaken the effectiveness of a deliberately narrow system on the use of force based on dystopian scenarios