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Telecommunication technology --- telecommunicatie --- informatietheorie
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Telecommunication technology --- telecommunicatie --- informatietheorie
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This proceedings publication is a compilation of selected contributions from the Third International Conference on the Dynamics of Information Systems which took place at the University of Florida, Gainesville, February 16-18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and academia in order to exchange new discoveries and results in a broad range of topics relevant to the theory and practice of dynamics of information systems. Dynamics of Information Systems: Mathematical Foundations presents state-of-the art research and is intended for graduate students and researchers interested in some of the most recent discoveries in information theory and dynamical systems. Scientists in other disciplines may also benefit from the applications of new developments to their own area of study. Information systems play an increasingly critical role in our society; the influence of information on social, biological, genetic, and military systems must be better understood in order to achieve advances in the capability and understanding of these systems. Applications presented in this work are widespread and include research in evolutionary theory, optimization of information workflow, military applications, climate networks, collision work, and much more.
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Lectures: P.R. Halmos: Entropy in ergodic theory.- E. Hopf: Some topics of ergodic theory.- J.L. Massera: Les équations différentielles linéaires dans les espaces de Banach.- Seminars: L. Amerio: Funzioni quasi-periodiche astratte e problemi di propagazione.- L. Markus: Sistemi dinamici con stabilità strutturale.- G. Prodi: Teoremi erodici per le equazioni di idrodinamica.- A.N. Feldzamen: The Alexandra Ionescu-Tulcea proof of McMillan´s theorem.
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P. Habets: Stabilité asymptotique pour des problèmes de perturbations singulières.- J.K. Hale: Stability of linear systems with delays.- V. Lakshmikantham: Stability and asymptotic behaviour of solutions of differential equations in a Banach space.- P. Negrini: On a definition of total stability for continuous or discrete dynamical systems.-N. Rouche: Théorie de la stabilité dans les équations différentielles ordinaires.- E.O. Roxin: Stability and differential games.
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Lectures: J. Guckenheimer: Bifurcations of dynamical systems.- J. Moser: Various aspects of integrable.- S. Newhouse: Lectures on dynamical systems.- Seminars: A. Chenciner: Hopf bifurcation for invariant tori.- M. Misiurewicz: Horseshoes for continuous mappings of an interval.
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Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic theory, hyperbolic dynamics, and dimension theory. It starts with the basic notions of the first two topics and ends with a sufficiently high-level introduction to the third. Furthermore, it includes an introduction to the thermodynamic formalism, which is an important tool in dimension theory. The volume is primarily intended for graduate students interested in dynamical systems, as well as researchers in other areas who wish to learn about ergodic theory, thermodynamic formalism, or dimension theory of hyperbolic dynamics at an intermediate level in a sufficiently detailed manner. In particular, it can be used as a basis for graduate courses on any of these three subjects. The text can also be used for self-study: it is self-contained, and with the exception of some well-known basic facts from other areas, all statements include detailed proofs.
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How did Pierre Fatou and Gaston Julia create what we now call Complex Dynamics, in the context of the early twentieth century and especially of the First World War? The book is based partly on new, unpublished sources.Who were Pierre Fatou, Gaston Julia, Paul Montel? New biographical information is given on the little known mathematician that was Pierre Fatou. How did the serious WW1 injury of Julia influence mathematical life in France? From the reviews of the French edition: "Audin's book is indeed filled with marvelous biographical information and analysis, dealing not just with the men mentioned in the book's title but a large number of other players, too ¦ . the book under review addresses itself to scholars for whom the history of mathematics has a particular resonance and especially to mathematicians active, or even with merely an interest in, complex dynamics. ¦ presents it all to the reader in a very appealing form." (Michael Berg, The Mathematical Association of America, October 2009)
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