Linearizability of Saturated Polynomials

Brjuno and R\"ussmann proved that every irrationally indifferent fixed point of an analytic function with a Brjuno rotation number is linearizable, and Yoccoz proved that this is sharp for quadratic polynomials. Douady conjectured that this is sharp for all rational functions of degree at least 2, i.e., that non-M\"obius rational functions cannot have Siegel disks with non-Brjuno rotation numbers. We prove that Douady's conjecture holds for the class of polynomials for which the number of infinite tails of critical orbits in the Julia set equals the number of irrationally indifferent cycles. As a corollary, Douady's conjecture holds for the polynomials $P(z) = z^d + c$ for all $d > 1$ and all complex $c$.Comment: 28 pages, major revisions and additions following referee comment

The External Dimension of EU Citizenship: Arguing for Effective Protection of Citizens Abroad. CEPS Policy Brief No. 136, 3 July 2007

[From the Introduction]. This Policy Brief is the edited and extended version of CEPS’ contribution to the Commission’s Green Paper consultation. While acknowledging that the Green Paper addresses a wide range of issues, this document focuses mainly on the following themes: 1) the material scope of Art. 20 TEC, 2) its legal character as regards individual entitlement and 3) its enforceability and justiciability. The last sections deal with the questions of harmonisation as well as a possible involvement of Commission delegations in the exercise of consular assistance and diplomatic protection

Public Relations: A role for women?

In an effort to seek coherence, continuity and connection in the communication discipline, this paper explores the issue of gender and culture within the field of public relations. This paper examines how gender affects the disciplinary detachment of public relations from the many communication disciplines. Secondary research that has emerged over the last 25 years is analyzed by discussing the feminization and perspectives of gender’s influence in the discipline of public relations. Future opportunities for both universities and the industry are explored, in order to help bridge the gap of detachment of public relations to that of similar disciplines

Fruit of the Poisonous Tree - Member States' Indirect Use of Extraordinary Rendition and the EU Counter-Terrorism Strategy. CEPS Working Document, No. 263, 3 April 2007

Recent investigations, not least by the EP Temporary Committee, have shed light on the illegal practice of extraordinary renditions and unlawful detentions by foreign security services on European territory with the alleged involvement of certain member states, which suggests that the line between cooperation and complicity has become blurred. This paper addresses the issue of how EU member states could not resist taking advantage of extraordinary renditions and unlawful detentions and how they still profit from such practice. Recent examples of this kind of profiteering are provided, together with an assessment of their legality. The paper also addresses the issue from an EU perspective and evaluates implications of and for EU counter-terrorism policies, in particular the question of how these policies might be tainted by the counter-terrorism behaviour of member states. A concrete set of policy recommendations is proposed in the last chapter