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Network information theory
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ISBN: 1108453244 1107264170 1107228034 1283378191 9786613378194 1139189611 113903068X 1139188313 1139190911 1139183699 1139186019 Year: 2011 Publisher: Cambridge : Cambridge University Press,

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This comprehensive treatment of network information theory and its applications provides the first unified coverage of both classical and recent results. With an approach that balances the introduction of new models and new coding techniques, readers are guided through Shannon's point-to-point information theory, single-hop networks, multihop networks, and extensions to distributed computing, secrecy, wireless communication, and networking. Elementary mathematical tools and techniques are used throughout, requiring only basic knowledge of probability, whilst unified proofs of coding theorems are based on a few simple lemmas, making the text accessible to newcomers. Key topics covered include successive cancellation and superposition coding, MIMO wireless communication, network coding, and cooperative relaying. Also covered are feedback and interactive communication, capacity approximations and scaling laws, and asynchronous and random access channels. This book is ideal for use in the classroom, for self-study, and as a reference for researchers and engineers in industry and academia.


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Network information theory
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ISBN: 1107008735 9781107008731 Year: 2011 Publisher: Cambridge: Cambridge university press,

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Chemical thermodynamics and information theory with applications
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ISBN: 1439820872 9781439820872 Year: 2011 Publisher: Boca Raton: Taylor & Francis,

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Information and computation
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ISBN: 1283433370 9786613433374 9814295485 9789814295482 9781283433372 9789814295475 9814295477 Year: 2011 Publisher: Hackensack, N.J. London World Scientific

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Information is a basic structure of the world, while computation is a process of the dynamic change of information. This book provides a cutting-edge view of world's leading authorities in fields where information and computation play a central role. It sketches the contours of the future landscape for the development of our understanding of information and computation, their mutual relationship and the role in cognition, informatics, biology, artificial intelligence, and information technology. This book is an utterly enjoyable and engaging read which gives readers an opportunity to understan


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Quantum dynamics and information
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ISBN: 1283144840 9786613144843 9814317446 9789814317436 9814317438 9789814317443 Year: 2011 Publisher: Hackensack, N.J. : World Scientific,

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The central theme of this lecture collection is quantum dynamics, regarded mostly as the dynamics of entanglement and that of decoherence phenomena. Both these concepts appear to refer to the behavior of surprisingly fragile features of quantum systems supposed to model quantum memories and to implement quantum date processing routines. This collection may serve as an essential resource for those interested in both theoretical description and practical applications of fundamentals of quantum mechanics.


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Entropy of hidden Markov processes and connections to dynamical systems : papers from the Banff International Research Station workshop
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ISBN: 9780511819407 9780521111133 9781139092883 113909288X 0511819404 9781139090971 1139090976 0521111137 110721257X 1283127407 1139092375 9786613127402 1139091867 1139090062 Year: 2011 Publisher: Cambridge : Cambridge University Press,

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Hidden Markov processes (HMPs) are important objects of study in many areas of pure and applied mathematics, including information theory, probability theory, dynamical systems and statistical physics, with applications in electrical engineering, computer science and molecular biology. This collection of research and survey papers presents important new results and open problems, serving as a unifying gateway for researchers in these areas. Based on talks given at the Banff International Research Station Workshop, 2007, this volume addresses a central problem of the subject: computation of the Shannon entropy rate of an HMP. This is a key quantity in statistical physics and information theory, characterising the fundamental limit on compression and closely related to channel capacity, the limit on reliable communication. Also discussed, from a symbolic dynamics and thermodynamical viewpoint, is the problem of characterizing the mappings between dynamical systems which map Markov measures to Markov (or Gibbs) measures, and which allow for Markov lifts of Markov chains.


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Stability Problems
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ISBN: 9783642109492 Year: 2011 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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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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Dynamical Systems
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ISBN: 9783642139291 Year: 2011 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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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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Fatou, Julia, Montel : The Great Prize of Mathematical Sciences of 1918, and Beyond
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ISBN: 9783642178542 Year: 2011 Publisher: Berlin Heidelberg Springer Berlin Heidelberg Imprint Springer

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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)


Book
Maximum entropy and ecology : a theory of abundance, distribution, and energetics
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ISBN: 9780199593415 0199593418 9780199593422 0199593426 Year: 2011 Publisher: Oxford ; New York : Oxford University Press,

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