264 research outputs found

    Fourier duality in the Brascamp-Lieb inequality

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    It was observed recently in work of Bez, Buschenhenke, Cowling, Flock and the first author, that the euclidean Brascamp-Lieb inequality satisfies a natural and useful Fourier duality property. The purpose of this paper is to establish an appropriate discrete analogue of this. Our main result identifies the Brascamp-Lieb constants on (finitely-generated) discrete abelian groups with Brascamp-Lieb constants on their (Pontryagin) duals. As will become apparent, the natural setting for this duality principle is that of locally compact abelian groups, and this raises basic questions about Brascamp-Lieb constants formulated in this generality

    De origine animae humanae

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    quam annuente Deo ... sub praesidio ... Ioh. Henrici Heideggeri placido eruditorum examini subiicit Hermannus Liebius Episcopicellanus, author & respondens, ad diem Septembris, loco horísque solitisDiss. Hohe Schule Zürich, 167

    Towards a general theory of word formation: the Process Model

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    Foreword. The present essay—longer than a paper but shorter than a book—characterizes the Process Model of Word Formation that represents a new approach to word formation intermediate between constructionist and generative approaches; the model will be elaborated in detail in: Lieb, Hans-Heinrich (in prep.), The Process Model of Word Formation and Inflection. Amsterdam/Philadelphia: Benjamins. The essay, which is independent of the book, replaces an earlier, unpublished manuscript (Lieb 2011/2012), of which it is a completely revised and enlarged version. The essay was completed in July 2013; it is an outcome of work undertaken by the author since roughly 2006 but originating from still earlier work (first presented at a Research Colloquium held at the Freie Universität Berlin in 2001, and subsequently by a lecture read at the Annual Meeting of the Deutsche Gesellschaft für Sprachwissenschaft in 2006: Lieb 2006). The present text is an Open Access publication by the Freie Universität Berlin; it is free for downloading, but all rights remain with the author (in particular, revamping of the text or its commercial use are prohibited; quotation only with indication of the source). The Freie Universität Berlin also houses a major effort at producing book- length Open Access publications in linguistics, organized into series: Language Science Press, langsci-press.org. The present essay does not fit this framework, both for lack of a suitable series and for being shorter than a book. An Open Access format was chosen for the essay by its author for a number of reasons, most importantly, to provoke discussion (contact the author via: [email protected]). Please quote this essay as follows, together with its url: Lieb, Hans-Heinrich. 2013. Towards a general theory of word formation: the Process Model. Berlin: Freie Universität Berlin. (An Open Access publication.) The author is Full Professor (em.) of General and German Linguistics at the Freie Universität Berlin in Berlin, Germany. Berlin, July 2013 Hans-Heinrich LiebForeword. The present essay—longer than a paper but shorter than a book—characterizes the Process Model of Word Formation that represents a new approach to word formation intermediate between constructionist and generative approaches; the model will be elaborated in detail in: Lieb, Hans-Heinrich (in prep.), The Process Model of Word Formation and Inflection. Amsterdam/Philadelphia: Benjamins. The essay, which is independent of the book, replaces an earlier, unpublished manuscript (Lieb 2011/2012), of which it is a completely revised and enlarged version. The essay was completed in July 2013; it is an outcome of work undertaken by the author since roughly 2006 but originating from still earlier work (first presented at a Research Colloquium held at the Freie Universität Berlin in 2001, and subsequently by a lecture read at the Annual Meeting of the Deutsche Gesellschaft für Sprachwissenschaft in 2006: Lieb 2006). The present text is an Open Access publication by the Freie Universität Berlin; it is free for downloading, but all rights remain with the author (in particular, revamping of the text or its commercial use are prohibited; quotation only with indication of the source). The Freie Universität Berlin also houses a major effort at producing book- length Open Access publications in linguistics, organized into series: Language Science Press, langsci-press.org. The present essay does not fit this framework, both for lack of a suitable series and for being shorter than a book. An Open Access format was chosen for the essay by its author for a number of reasons, most importantly, to provoke discussion (contact the author via: [email protected]). Please quote this essay as follows, together with its url: Lieb, Hans-Heinrich. 2013. Towards a general theory of word formation: the Process Model. Berlin: Freie Universität Berlin. (An Open Access publication.) The author is Full Professor (em.) of General and German Linguistics at the Freie Universität Berlin in Berlin, Germany. Berlin, July 2013 Hans-Heinrich Lie

    Shell model structures in the N=46 isotones \chem{^{86}Zr}, \chem{^{87}Nb}, \chem{^{88}Mo}, \chem{^{89}Tc}, \chem{^{90}Ru} and \chem{^{91}Rh}

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    The known level energies, electromagnetic moments and decay probabilities of high-spin states in the N=46N=46 isotones 86^{86}Zr, 87^{87}Nb, 88^{88}Mo, 89^{89}Tc, and 90^{90}Ru are interpreted within the shell model. The single-particle space was truncated to the p1/2p_{1/2} and g9/2g_{9/2} orbits (relative to the 88^{88}Sr core) and the single-particle energies and empirical two-body matrix elements derived by Gross and Frenkel were used in the calculations. Based on the generally good success of this approach, energies and decay properties of the yrast spectra in 90^{90}Ru and 91^{91}Rh are predicted

    On Representations Of Affine Temperley-Lieb Algebras

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    . We study the finite-dimensional simple modules, over an algebraically closed field, of the affine Temperley--Lieb algebra corresponding to the affine Weyl group of type A. These turn out to be closely related to the simple modules for a certain q-analogue of the annular algebra of V.F.R. Jones. 1. Introduction The Temperley--Lieb algebra is a finite-dimensional algebra which was introduced in [6] and has been extensively studied in many papers, for example [7]. In [1], the author and C.K. Fan introduced a diagram calculus for the "affine" Temperley--Lieb algebra, an infinite-dimensional algebra which is related to affine Weyl group W ( b A l ) of type A in the same way as the (ordinary) Temperley--Lieb algebras are related to the group algebras of the symmetric groups. One would like to be able to classify the finite-dimensional irreducible representations for this algebra, partly because this gives irreducible representations of the affine Hecke algebra H( b A l ) and of the corres..

    Cities as a Source of Consumers\u27 Financial Empowerment

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    Professor Susan Block-Lieb, the Cooper Family Chair in Urban Legal Issues at Fordham Law, proposes that cities should be considered as an important source of consumer protection. Professor Block-Lieb examines various cities\u27 initiatives to provide debt advice to consumers, enhance consumers\u27 financial inclusion, and enable consumers to register complaints about financial services and possibly to mediate those disputes. It also explores some of the limitations of each of these strategies for consumer financial protection. The Essay next explains why cities can perform these sorts of consumer financial protection initiatives\u27that is, empowerment initiatives\u27better than other levels of government. This explanation is focused on cities\u27 concentrated proximity to consumers, their existing infrastructures, and their uniquely pragmatic methods of work. The author concludes by emphasizing the payoffs and limitations of emphasizing cities\u27 expertise in providing empowerment initiatives to resident consumers

    Interface mixing in Ni3N SiX bilayers induced by swift heavy ions

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    In order to investigate the swift heavy-ion-induced mixing of nitride coatings we have irradiated Ni3N films on SiO2-, Si3N4-, SiC- and Si-substrates with Ar, Kr, Xe and An ions of energies ranging from 90 to 350 MeV, for which electronic energy loss dominates. The Ni-concentration profiles at the interfaces before and after irradiation were determined by means of Rutherford backscattering spectrometry with 900 keV He2+ ions. In all the cases, strong mixing occurred as soon as a material-dependent threshold S-ec in the electronic stopping power S-e was exceeded. The mixing rate exhibits a squared scaling k = Deltasigma(2)/Phi = eta(2) (S-e - S-ec)(2) and estimation of the effective diffusion constant indicates interdiffusion in molten ion tracks. The threshold value S-ec depends on the substrate material and seems to be determined by its melting point and specific heat. (C) 2003 Published by Elsevier Ltd

    Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities

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    We show that phase space bounds on the eigenvalues of Schrodinger operators can be derived from universal bounds recently obtained by E. M. Harrell and the author via a monotonicity property with respect to coupling constants. In particular, we provide a new proof of sharp Lieb-Thirring inequalities.MATHGEO

    Teleportation-based quantum computation, extended Temperley-Lieb diagrammatical approach and Yang-Baxter equation

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    This paper focuses on the study of topological features in teleportation-based quantum computation and aims at presenting a detailed review on teleportation-based quantum computation (Gottesman and Chuang in Nature 402: 390, 1999). In the extended Temperley-Lieb diagrammatical approach, we clearly show that such topological features bring about the fault-tolerant construction of both universal quantum gates and four-partite entangled states more intuitive and simpler. Furthermore, we describe the Yang-Baxter gate by its extended Temperley-Lieb configuration and then study teleportation-based quantum circuit models using the Yang-Baxter gate. Moreover, we discuss the relationship between the extended Temperley-Lieb diagrammatical approach and the Yang-Baxter gate approach. With these research results, we propose a worthwhile subject, the extended Temperley-Lieb diagrammatical approach, for physicists in quantum information and quantum computation.Wuhan University [273732]SCI(E)[email protected]; [email protected]; [email protected]
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