Europe’s Lack of Structural Transformation and Necessary Policy Changes of EMU

Primary goal of stabilization policy in the Treaty of European Union is price stability. That goal may be in conflict with the goal of full employment in the member states, particularly, then the union are hit by an asymmetric shock. Assuming perfect capital mobility a initial adverse shock (Krugman 1993) may have permanent effects by releasing a self-reinforcing process, which will result in lower relative growth. Given the specification of a model that captures the crucial element of efficient structural transformation it is easy to conclude the lack of necessary structural transformation within EMU. In addition, the basic foundation of economic policy by EMU, as manifested by the Treaty of European Union, is by latter research put into question. Therefore this paper suggest, it is necessary that the Treaty of European Union must be supplemented, changed, or both.European Monetary Union; Structural flexibility; Optimal transformation; Phillips curve; Maastricht Treaty; Stability and Growth Pact.

Incoherent dictionaries and the statistical restricted isometry property

In this article we present a statistical version of the Candes-Tao restricted isometry property (SRIP for short) which holds in general for any incoherent dictionary which is a disjoint union of orthonormal bases. In addition, under appropriate normalization, the eigenvalues of the associated Gram matrix fluctuate around 1 according to the Wigner semicircle distribution. The result is then applied to various dictionaries that arise naturally in the setting of finite harmonic analysis, giving, in particular, a better understanding on a remark of Applebaum-Howard-Searle-Calderbank concerning RIP for the Heisenberg dictionary of chirp like functions.Comment: Key words: Incoherent dictionaries, statistical version of Candes - Tao RIP, Semi-Circle law, deterministic constructions, Heisenberg-Weil representatio