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Fourier restriction, decoupling, and applications
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ISBN: 1108606989 1108603610 1108584403 Year: 2020 Publisher: Cambridge : Cambridge University Press,

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The last fifteen years have seen a flurry of exciting developments in Fourier restriction theory, leading to significant new applications in diverse fields. This timely text brings the reader from the classical results to state-of-the-art advances in multilinear restriction theory, the Bourgain-Guth induction on scales and the polynomial method. Also discussed in the second part are decoupling for curved manifolds and a wide variety of applications in geometric analysis, PDEs (Strichartz estimates on tori, local smoothing for the wave equation) and number theory (exponential sum estimates and the proof of the Main Conjecture for Vinogradov's Mean Value Theorem). More than 100 exercises in the text help reinforce these important but often difficult ideas, making it suitable for graduate students as well as specialists. Written by an author at the forefront of the modern theory, this book will be of interest to everybody working in harmonic analysis.


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A high-order Lagrangian-decoupling method for the incompressible Navier-Stokes equations
Authors: --- ---
Year: 1989 Publisher: Hampton, Va. : Institute for Computer Applications in Science and Engineering, NASA Langley Research Center,


Book
A high-order Lagrangian-decoupling method for the incompressible Navier-Stokes equations
Authors: --- ---
Year: 1989 Publisher: Hampton, Va. : Institute for Computer Applications in Science and Engineering, NASA Langley Research Center,

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Decoupling : from dependence to independence
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ISBN: 0387986162 1461268087 1461205379 9780387986166 Year: 1999 Publisher: New York : Springer,

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Decoupling theory provides a general framework for analyzing problems involving dependent random variables as if they were independent. It was born in the early eighties as a natural continuation of martingale theory and has acquired a life of its own due to vigorous development and wide applicability. The authors provide a friendly and systematic introduction to the theory and applications of decoupling. The book begins with a chapter on sums of independent random variables and vectors, with maximal inequalities and sharp estimates on moments which are later used to develop and interpret decoupling inequalities. Decoupling is first introduced as it applies in two specific areas, randomly stopped processes (boundary crossing problems) and unbiased estimation (U-- statistics and U--processes), where it has become a basic tool in obtaining several definitive results. In particular, decoupling is an essential component in the development of the asymptotic theory of U-- statistics and U--processes. The authors then proceed with the theory of decoupling in full generality. Special attention is given to comparison and interplay between martingale and decoupling theory, and to applications. Among other results, the applications include limit theorems, momemt and exponential inequalities for martingales and more general dependence structures, results with biostatistical implications, and moment convergence in Anscombe's theorem and Wald's equation for U--statistics. This book is addressed to researchers in probability and statistics and to graduate students. The expositon is at the level of a second graduate probability course, with a good portion of the material fit for use in a first year course. Victor de la Pe$a is Associate Professor of Statistics at Columbia University and is one of the more active developers of decoupling.


Book
Emerging Economies in the 2000s : Real Decoupling and Financial Recoupling
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Year: 2012 Publisher: Washington, D.C., The World Bank,

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The paper documents an intriguing development in the emerging world in the 2000s: a decoupling from the business cycle of advanced countries, combined with the strengthening of the co-movements in the main emerging market assets that predates the synchronized sell-off during the crisis. In addition, the paper tests the hypothesis that financial globalization, to the extent that it creates a common, global investor base for emerging markets, could lead to a tighter asset correlation despite the weaker economic ties. While an examination of the impact of alternative financial globalization proxies does not yield conclusive results, a closer look at global emerging market equity and bond funds shows that the latter indeed foster financial recoupling during downturns, reflecting the fact that they trade near their respective benchmarks and respond to withdrawals by liquidating holdings across the board.


Book
Emerging Economies in the 2000s : Real Decoupling and Financial Recoupling
Authors: ---
Year: 2012 Publisher: Washington, D.C., The World Bank,

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Abstract

The paper documents an intriguing development in the emerging world in the 2000s: a decoupling from the business cycle of advanced countries, combined with the strengthening of the co-movements in the main emerging market assets that predates the synchronized sell-off during the crisis. In addition, the paper tests the hypothesis that financial globalization, to the extent that it creates a common, global investor base for emerging markets, could lead to a tighter asset correlation despite the weaker economic ties. While an examination of the impact of alternative financial globalization proxies does not yield conclusive results, a closer look at global emerging market equity and bond funds shows that the latter indeed foster financial recoupling during downturns, reflecting the fact that they trade near their respective benchmarks and respond to withdrawals by liquidating holdings across the board.


Book
The World of Rules : A Somewhat Different Measurement of the World
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ISBN: 3944773195 3944773098 Year: 2017 Publisher: Frankfurt am Main Max Planck Institute for Legal History and Legal Theory

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"This book takes a stand against the narrowing focus of (German) jurisprudence on state law, rooted in the history of the territorially organised nation state. In the shadow of this tradition, state(-hood) law was only conceived of as state law. However, a gradual decoupling of state and law is observable – not least because of globalisation – which inevitably entails a pluralisation of legal regulations. Jurisprudence has to react to this, if it wants to remain relevant. This can happen through a broadening of its horizon towards a more far-reaching “science of regulation”, in order to grasp the increasing “Variety of Rules” adequately. State law remains an important and central type of law, yet it is no longer the sole type.If that is the case, it becomes necessary to analyse the following three spheres: (1) the plurality of normative orders, especially those of non-state character; (2) the plurality of norm producers, from state legislature to transnational networks of regulation; (3) finally, the plurality of norm enforcement regimes, from states’ judiciaries via the judiciary of (international) sport to the exercise of social pressure (e. g. political correctness). Those findings of plurality inevitably lead to the follow-up problem of a redefinition of the concept of law and to the question, which types of law/norms can be identified meaningfully."


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Assessment of Energy–Environment–Economy Interrelations
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ISBN: 3039288105 3039288091 Year: 2020 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Energy consumption and economic growth have been of great interest to researchers and policy-makers. Knowing the actual causal relationship between energy and the economy with respect to environmental degradation has important implications for modeling environmental and growth policies. The eleven chapters included herein aim to help researchers, academicians, and especially decision-makers to understand relevant issues and adopt appropriate methods to tackle and solve relevant environmental problems. Various methods from different disciplines are proposed and applied to various environmental and energy issues.


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Achieving the Circular Economy : Exploring the Role of Local Governments, Business and Civic Society in an Urban Context
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Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Urbanisation and climate change are pushing cities to find novel pathways leading to a sustainable future. The urban context may be viewed as a new experimentation space to accelerate the transition to a circular economy. Urban symbiosis and the circular economy are emerging concepts attracting more and more attention within the urban context. Moreover, new business models are emerging around sharing and peer-to-peer practices, which are challenging existing roles of actors in society. These developments are having an important impact on the flows of resources and the use of the city infrastructure, and each research area has taken a different perspective in the analysis of such impacts. This Special Issue aims to explore what a “circular city” could constitute and how and why cities engage in circularity. This Special Issue includes seven high-quality papers on the theories and practices of circular cities. Actors, concepts, methods, tools, the barriers to and enablers of circular cities are discussed and a solid base and inspiration for the future development of circular cities are provided.


Book
Design and Control of Power Converters 2020
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Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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In this book, nine papers focusing on different fields of power electronics are gathered, all of which are in line with the present trends in research and industry. Given the generality of the Special Issue, the covered topics range from electrothermal models and losses models in semiconductors and magnetics to converters used in high-power applications. In this last case, the papers address specific problems such as the distortion due to zero-current detection or fault investigation using the fast Fourier transform, all being focused on analyzing the topologies of high-power high-density applications, such as the dual active bridge or the H-bridge multilevel inverter. All the papers provide enough insight in the analyzed issues to be used as the starting point of any research. Experimental or simulation results are presented to validate and help with the understanding of the proposed ideas. To summarize, this book will help the reader to solve specific problems in industrial equipment or to increase their knowledge in specific fields.

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