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Equidistribution in Number Theory, An Introduction
Authors: --- ---
ISBN: 9781402054044 1402054025 9781402054020 1402054033 9786610816798 1280816791 1402054041 Year: 2007 Volume: v. 237 Publisher: Dordrecht Springer

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Abstract

From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series “Seminaire ´ de mathematiques ´ superieures”, ´ was held at the U- versite ´ de Montreal, ´ on the subject Equidistribution in the theory of numbers. There were about one hundred participants from sixteen countries around the world. This volume presents details of the lecture series that were given at the school. Across the broad panorama of topics that constitute modern number t- ory one nds shifts of attention and focus as more is understood and better questions are formulated. Over the last decade or so we have noticed incre- ing interest being paid to distribution problems, whether of rational points, of zeros of zeta functions, of eigenvalues, etc. Although these problems have been motivated from very di?erent perspectives, one nds that there is much in common, and presumably it is healthy to try to view such questions as part of a bigger subject. It is for this reason we decided to hold a school on “Equidistribution in number theory” to introduce junior researchers to these beautiful questions, and to determine whether di?erent approaches can in uence one another. There are far more good problems than we had time for in our schedule. We thus decided to focus on topics that are clearly inter-related or do not requirealotofbackgroundtounderstand.

Keywords

Geometry --- Harmonic analysis. Fourier analysis --- informatietheorie --- Mathematical physics --- Number theory --- Ergodic theory. Information theory --- differentiaalvergelijkingen --- landmeetkunde --- Fourieranalyse --- getallenleer --- Irregularities of distribution (Number theory) --- Irrégularités de distribution (Théorie des nombres) --- Congresses --- Congrès --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Congresses. --- Number theory. --- Geometry, algebraic. --- Differentiable dynamical systems. --- Mathematics. --- Fourier analysis. --- Number Theory. --- Algebraic Geometry. --- Dynamical Systems and Ergodic Theory. --- Measure and Integration. --- Fourier Analysis. --- Analysis, Fourier --- Mathematical analysis --- Math --- Science --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Algebraic geometry --- Number study --- Numbers, Theory of --- Algebra --- Algebraic geometry. --- Dynamics. --- Ergodic theory. --- Measure theory. --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Ergodic transformations --- Continuous groups --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Equidistribution


Book
Managing Virtualization of Networks and Services
Authors: --- --- ---
ISBN: 9783540756941 Year: 2007 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg

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Abstract

This volume of the Lecture Notes in Computer Science series contains all papers th accepted for presentation at the 18 IFIP/IEEE International Workshop on Distributed Systems: Operations and Management (DSOM 2007), which was held in the heart of Silicon Valley, San Jose, California, USA, on October 29-31, 2007. DSOM 2007 was the 18th event in a series of annual workshops. It followed in the footsteps of previous successful meetings, the most recent of which were held in Dublin, Ireland (DSOM 2006), Barcelona, Spain (DSOM 2005), Davis, California, USA (DSOM 2004), Heidelberg, Germany (DSOM 2003), and Montreal, Canada (DSOM 2002). The goal of the DSOM workshops is to bring together researchers from industry and academia working in the areas of networks, systems, and service management, to discuss recent advances and foster future growth. In contrast to the larger management conferences, such as IM (Integrated Network Management) and NOMS (Network Operations and Management Symposium), DSOM workshops have a single-track program in order to stimulate more intense interaction among participants.


Book
Self-* and P2P for Network Management
Authors: --- ---
ISBN: 9781447142010 Year: 2012 Publisher: London Springer London

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Abstract

The network management community has been pushed towards the design of alternative management approaches able to support heterogeneity, scalability, reliability, and minor human intervention. The employment of self-* properties and Peer-To-Peer (P2P) are seen as promising alternatives, able to provide the sophisticated solutions required. Despite being developed in parallel, and with minor direct connections perceived between them, self-* properties and P2P can be used concurrently. In Self-* and P2P for Network Management: Design Principles and Case Studies, the authors explore the issues behind the joint use of self-* properties and P2P, and present: a survey relating autonomic computing and self-* properties, P2P, and network and service management; the design of solutions that explore parallel and cooperative behavior of management peers; the change in angle of network management solution development from APIs, protocols, architectures, and frameworks to the design of management algorithms.

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