22,370 research outputs found

    Capital mobility and global factor shocks

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    © 2013 Elsevier B.V. All rights reservedThis paper focuses on the effects of global factors on the saving–investment relationship. We prove that, if investments and savings are affected by idiosyncratic and global components, they must be cointegrated to obtain reliable estimates of the saving-retention coefficient. When global shocks are taken into account throughcommonfactors,wefind that the estimated saving-retention coefficient is close to zero for a panel of 21 OECD countrie

    The Implicit Function Theorem for continuous functions

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    In the present paper we obtain a new homological version of the implicit function theorem and some versions of the Darboux theorem. Such results are proved for continuous maps on topological manifolds. As a consequence, some versions of these classic theorems are proved when we consider differenciable (not necessarily C^1) maps.Comment: 9 pages, no figure

    Quantum-enhanced gyroscopy with rotating anisotropic Bose–Einstein condensates

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    High-precision gyroscopes are a key component of inertial navigation systems. By considering matter wave gyroscopes that make use of entanglement it should be possible to gain some advantages in terms of sensitivity, size, and resources used over unentangled optical systems. In this paper we consider the details of such a quantum-enhanced atom interferometry scheme based on atoms trapped in a carefully-chosen rotating trap. We consider all the steps: entanglement generation, phase imprinting, and read-out of the signal and show that quantum enhancement should be possible in principle. While the improvement in performance over equivalent unentangled schemes is small, our feasibility study opens the door to further developments and improvements
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