United Kingdom ∙ Investigatory Powers Tribunal: Privacy International v Secretary of State for Foreign and Commonwealth Affairs and Ors Part II

in European Data Protection Law Review (2017), 3(3), 387-393

Units in some parametric families of quartic fields

in Acta Arithmetica (2007), 127(3), 205-216

Unity and disunity among central bankers in an asymmetric Economic and Monetary Union

in Hayward, Jack; Würzel, Rudi (Eds.) European Disunion: The Multidimensional Power Struggles (2012)

ECB monetary policy making was designed to disguise real, and to counter imagined, disunity within the bank itself, and among its component national central banks (NCBs) and their governors. The unity of ... [more ▼]

ECB monetary policy making was designed to disguise real, and to counter imagined, disunity within the bank itself, and among its component national central banks (NCBs) and their governors. The unity of the Eurosystem of central banks and the appearance of unity depended upon the assumption that central bankers keenly supported the German model – which they endorsed in the Delors Report on EMU in 1989. However, several features of the ECB undermined its unity and reputation for impartiality even prior to the start of EMU: notably, the greater representation of individuals from larger member states in the Governing Council. Crucially, though, the potential for disunity is in the Maastricht Treaty (Treaty on European Union) and the asymmetrical design of EMU. Euro area economic governance was insufficiently developed and, notably, fiscal policy rules were inadequately clarified and enforced. Similarly, in the Treaty, the responsibilities of the ECB to promote financial stability were left imprecise. Notably, due to central banker fears on the monetisation of debt, the ECB was not assigned the typical central bank function of ‘lender of last resort’. The disunity in the Eurosystem of central banks that erupted during the sovereign debt crisis from late 2009, demonstrated that unity relied on consensus around German and notably Bundesbank preferences. Disunity stemmed above all from the absence of a road map for ECB policy making in a context of severe existentialist crisis. [less ▲]

Universal (Meta-)Logical Reasoning: The Wise Men Puzzle (Isabelle/HOL Dataset)

in Data in Brief (2019), 24(103823), 1--5

The authors universal (meta-)logical reasoning approach is demonstrated and assessed with a prominent riddle in epistemic reasoning: the Wise Men Puzzle. The presented solution puts a particular emphasis ... [more ▼]

The authors universal (meta-)logical reasoning approach is demonstrated and assessed with a prominent riddle in epistemic reasoning: the Wise Men Puzzle. The presented solution puts a particular emphasis on the adequate modeling of common knowledge and it illustrates the elegance and the practical relevance of the shallow semantical embedding approach when utilized within modern proof assistant systems such as Isabelle/HOL. The contributed dataset provides supporting evidence for claims made in the article “Universal (meta-)logical reasoning: Recent successes” (Benzmüller, 2019). [less ▲]

Universal distribution of limit points

in Acta Mathematica Hungarica (2011), 133(3), 288-303

We consider sequences of functions that have in some sense a universal distribution of limit points of zeros in the complex plane. In particular, we prove that functions having universal approximation ... [more ▼]

We consider sequences of functions that have in some sense a universal distribution of limit points of zeros in the complex plane. In particular, we prove that functions having universal approximation properties on compact sets with connected complement automatically have such a universal distribution of limit points. Moreover, in the case of sequences of derivatives, we show connections between this kind of universality and some rather old results of Edrei/MacLane and Pólya. Finally, we show the lineability of the set of what we call Jentzsch-universal power series. [less ▲]

Universal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs

in Latin American Journal of Probability and Mathematical Statistics (2010), 7

Universal Hall conductance scaling in non-Hermitian Chern insulators

in Physical Review Research (2021)

We investigate the Hall conductance of a two-dimensional Chern insulator coupled to an environment causing gain and loss. Introducing a biorthogonal linear response theory, we show that sufficiently ... [more ▼]

We investigate the Hall conductance of a two-dimensional Chern insulator coupled to an environment causing gain and loss. Introducing a biorthogonal linear response theory, we show that sufficiently strong gain and loss lead to a characteristic nonanalytical contribution to the Hall conductance. Near its onset, this contribution exhibits a universal power law with a power 3/2 as a function of Dirac mass, chemical potential, and gain strength. Our results pave the way for the study of non-Hermitian topology in fermionic transport experiments. [less ▲]

Universal health coverage: an urgent need for collaborative learning and technology in primary care

in Education for Primary Care (2017)

Universal health coverage is an achievable goal for all health professionals globally. However, for it to be implemented technology and collaboration are essential. This letter focuses on recently ... [more ▼]

Universal health coverage is an achievable goal for all health professionals globally. However, for it to be implemented technology and collaboration are essential. This letter focuses on recently published recommendations for technology in primary care education in respect to Universal Health Coverage. [less ▲]

Universal meromorphic approximation on Vitushkin sets

in Journal of Contemporary Mathematical Analysis (2008), 43(6), 365-371

The paper proves the following result on universal meromorphic approximation: Given any unbounded sequence {λ_n} ⊂ \C, there exists a function φ, meromorphic on \C, with the following property. For every ... [more ▼]

The paper proves the following result on universal meromorphic approximation: Given any unbounded sequence {λ_n} ⊂ \C, there exists a function φ, meromorphic on \C, with the following property. For every compact set K of rational approximation (i.e. Vitushkin set), and every function f, continuous on K and holomorphic in the interior of K, there exists a subsequence {n_k} of \N such that {φ(z + λ_{n_k})} converges to f(z) uniformly on K. A similar result is obtained for arbitrary domains G \neq \C. Moreover, in case {λ_n} = {n} the function φ is frequently universal in terms of Bayart/Grivaux [3]. [less ▲]

Universal plane curve and moduli spaces of 1-dimensional coherent sheaves

E-print/Working paper (2014)

We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable ... [more ▼]

We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable locus. The universal singular locus coincides with the subvariety of M consisting of sheaves that are not locally free on their support. It turns out that the blow up of M along M' may be naturally seen as a compactification of M_B = M\M' by vector bundles (on support). [less ▲]