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See detailUniversal distribution of limit points
Meyrath, Thierry UL; Niess, Markus

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 ▲]

Detailed reference viewed: 58 (1 UL)
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See detailUniversal families of extensions of coherent systems
Tommasini, Matteo UL

E-print/Working paper (2013)

We prove a result of cohomology and base change for families of coherent systems over a curve. We use that in order to prove the existence of (non-split, non-degenerate) universal families of extensions ... [more ▼]

We prove a result of cohomology and base change for families of coherent systems over a curve. We use that in order to prove the existence of (non-split, non-degenerate) universal families of extensions for families of coherent systems (in the spirit of the paper "Universal families of extensions" by H. Lange). Such results will be applied in subsequent papers in order to describe the wallcrossing for some moduli spaces of coherent systems. [less ▲]

Detailed reference viewed: 27 (1 UL)
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See detailUniversal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs
Nourdin, Ivan UL; Peccati, Giovanni UL

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

Detailed reference viewed: 36 (1 UL)
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See detailUniversal Gaussian fluctuations on the discrete Poisson chaos
Peccati, Giovanni UL; Zheng, Cengbo

in Bernoulli (2014), 20(2), 697-715

Detailed reference viewed: 65 (0 UL)
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See detailUniversal health coverage: an urgent need for collaborative learning and technology in primary care
Patel, Kunal D.; Mcloughlin, Clodagh; Lygidakis, Charilaos UL et al

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 ▲]

Detailed reference viewed: 76 (2 UL)
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See detailUniversal Intelligent Small Cell for Next Generation Cellular Networks
Patwary, M.; Sharma, Shree Krishna UL; Chatzinotas, Symeon UL et al

in Digital Communications and Networks (2016), 2(4), 167174

Exploring innovative cellular architectures to achieve enhanced system capacity and good coverage has become a critical issue towards realizing the next generation of wireless communications. In this ... [more ▼]

Exploring innovative cellular architectures to achieve enhanced system capacity and good coverage has become a critical issue towards realizing the next generation of wireless communications. In this context, this paper proposes a novel concept of Universal Intelligent Small Cell (UnISCell) for enabling the densification of the next generation of cellular networks. The proposed novel concept envisions an integrated platform of providing a strong linkage between different stakeholders such as street lighting networks, landline telephone networks and future wireless networks, and is universal in nature being independent of the operating frequency bands and traffic types. The main motivating factors for the proposed small cell concept are the need of public infrastructure re-engineering, and the recent advances in several enabling technologies. First, we highlight the main concepts of the proposed UnISCell platform. Subsequently, we present two deployment scenarios for the proposed UnISCell concept considering infrastructure sharing and service sharing as important aspects. We then describe the key future technologies for enabling the proposed UnISCell concept and present a use case example with the help of numerical results. Finally, we conclude this article by providing some interesting future recommendations. [less ▲]

Detailed reference viewed: 132 (25 UL)
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See detailUniversal meromorphic approximation on Vitushkin sets
Luh, Wolfgang; Meyrath, Thierry UL; Niess, Markus

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 ▲]

Detailed reference viewed: 61 (3 UL)
See detailUniversal plane curve and moduli spaces of 1-dimensional coherent sheaves
Iena, Oleksandr UL

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 ▲]

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See detailUniversal Plane Curve and Moduli Spaces of 1-dimensional Coherent Sheaves
Iena, Oleksandr UL

in Communications in Algebra (2015), 43(2), 812-828

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 ▲]

Detailed reference viewed: 70 (11 UL)
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See detailUniversal plane curves and Simpson moduli spaces of 1-dimensional sheaves
Iena, Oleksandr UL

Poster (2012, June)

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 ▲]

Detailed reference viewed: 31 (3 UL)
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See detailUniversal rational expansions of meromorphic functions
Meyrath, Thierry UL

in Computational Methods and Function Theory (2011), 11(1), 317-324

Motivated by known results about universal Taylor series, we show that every function meromorphic on a domain $G$ can be expanded into a series of rational functions, whose partial sums have universal ... [more ▼]

Motivated by known results about universal Taylor series, we show that every function meromorphic on a domain $G$ can be expanded into a series of rational functions, whose partial sums have universal approximation properties on arbitrary compact sets $K \subset G^c$. [less ▲]

Detailed reference viewed: 63 (4 UL)
See detailUniversal Reasoning, Rational Argumentation and Human-Machine Interaction
Benzmüller, Christoph UL

E-print/Working paper (2017)

Classical higher-order logic, when utilized as a meta-logic in which various other (classical and non-classical) logics can be shallowly embedded, is well suited for realising a universal logic reasoning ... [more ▼]

Classical higher-order logic, when utilized as a meta-logic in which various other (classical and non-classical) logics can be shallowly embedded, is well suited for realising a universal logic reasoning approach. Universal logic reasoning in turn, as envisioned already by Leibniz, may support the rigorous formalisation and deep logical analysis of rational arguments within machines. A respective universal logic reasoning framework is described and a range of exemplary applications are discussed. In the future, universal logic reasoning in combination with appropriate, controlled forms of rational argumentation may serve as a communication layer between humans and intelligent machines. [less ▲]

Detailed reference viewed: 29 (3 UL)
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See detailUniversal relaxation behavior of classical liquid crystals at hypersonic frequencies.
Grammes, C.; Krüger, Jan-Kristian UL; Bohn, K.-P. et al

in Physical Review. E : Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics (1995), 51

Within this work we present comparative Brillouin and ultrasonic investigations of p-methoxybenzylidene p-(n-butylaniline), p-azoxyanisol, and 4-cyano-4’-pentyl-biphenyl performed in the vicinity of the ... [more ▼]

Within this work we present comparative Brillouin and ultrasonic investigations of p-methoxybenzylidene p-(n-butylaniline), p-azoxyanisol, and 4-cyano-4’-pentyl-biphenyl performed in the vicinity of the nematic-isotropic transition. We confirm the existence of a universal hypersonic relaxation mechanism of weak activation energy and a related significant splitting of the two principal longitudinal acoustic modes within the nematic phase. Brillouin refractometry is proposed as a method to determine the magnitude of the nematic order parameter simultaneously with the second-order elastic stiffness constants. The origin of the hypersonic anisotropy is discussed in terms of thermal relaxations and the evolution of the nematic order parameter. [less ▲]

Detailed reference viewed: 61 (0 UL)
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See detailUniversal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
Calzona, Alessio UL; Gambetta, Filippo Maria; Carrega, Matteo et al

in SciPost Physics (2018)

It has been shown that a quantum quench of interactions in a one-dimensional fermion system at zero temperature induces a universal power law ∝t−2 in its long-time dynamics. In this paper we demonstrate ... [more ▼]

It has been shown that a quantum quench of interactions in a one-dimensional fermion system at zero temperature induces a universal power law ∝t−2 in its long-time dynamics. In this paper we demonstrate that this behaviour is robust even in the presence of thermal effects. The system is initially prepared in a thermal state, then at a given time the bath is disconnected and the interaction strength is suddenly quenched. The corresponding effects on the long times dynamics of the non-equilibrium fermionic spectral function are considered. We show that the non-universal power laws, present at zero temperature, acquire an exponential decay due to thermal effects and are washed out at long times, while the universal behaviour ∝t−2 is always present. To verify our findings, we argue that these features are also visible in transport properties at finite temperature. The long-time dynamics of the current injected from a biased probe exhibits the same universal power law relaxation, in sharp contrast with the non-quenched case which features a fast exponential decay of the current towards its steady value, and thus represents a fingerprint of quench-induced dynamics. Finally, we show that a proper tuning of the probe temperature, compared to that of the one-dimensional channel, can enhance the visibility of the universal power-law behaviour. [less ▲]

Detailed reference viewed: 78 (0 UL)
See detail(Universal) Unconditional Verifiability in E-Voting without Trusted Parties
Gallegos-Garcia, Gina; Iovino, Vincenzo UL; Roenne, Peter UL et al

E-print/Working paper (2016)

Detailed reference viewed: 83 (4 UL)
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See detailUniversality in driven Potts models
Herpich, Tim UL; Esposito, Massimiliano UL

in Physical Review. E. (2019)

Detailed reference viewed: 108 (4 UL)
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See detailUniversality of Efficiency at Maximum Power
Esposito, Massimiliano UL; Lindenberg, Katja; Van den Broeck, Christian

in Physical Review Letters (2009), 102(13),

Detailed reference viewed: 66 (2 UL)
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See detailUniversality properties of Taylor series inside the domain of holomorphy
Beise, Peter; Meyrath, Thierry UL; Müller, Jürgen

in Journal of Mathematical Analysis & Applications (2011), 383(1), 234-238

It is proven that the Taylor series of functions holomorphic in $\C_{\infty} \setminus \{1\}$ generically have certain universality properties on small sets outside the unit disk. Moreover, it is shown ... [more ▼]

It is proven that the Taylor series of functions holomorphic in $\C_{\infty} \setminus \{1\}$ generically have certain universality properties on small sets outside the unit disk. Moreover, it is shown that such sets necessarily are polar sets. [less ▲]

Detailed reference viewed: 102 (4 UL)
See detailUniversitas Luciliburgensia de partu et progresso
Limbach-Reich, Arthur UL

Conference given outside the academic context (2017)

Detailed reference viewed: 14 (1 UL)
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See detailUniversität als Zeitvertreib? : J. G. Fichtes »Deducirter Plan einer zu Berlin zu errichtenden höheren Lehranstalt«
Kohns, Oliver UL

in Karschnia, Alexander; Kohns, Oliver; Kreuzer, Stefanie (Eds.) et al Zum Zeitvertreib : Politik – Institutionen – Lektüren – Bilder (2005)

Detailed reference viewed: 380 (3 UL)