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题名/责任者:

Entropy of hidden Markov processes and connections to dynamical systems : papers from the Banff International Research Station workshop / edited by Brian Marcus, Karl Petersen, Tsachy Weissman.

出版发行项:

Cambridge, UK ; New York : Cambridge University Press, 2011.

ISBN:

9780521111133 (pbk.)

ISBN:

0521111137 (pbk.)

载体形态项:

vi, 272 p. : ill. ; 23 cm.

丛编说明:

London Mathematical Society lecture note series ; 385.

丛编统一题名:

London Mathematical Society lecture note series ; 385.

附加个人名称:

Marcus, Brian, 1949-

附加个人名称:

Petersen, Karl Endel, 1943-

附加个人名称:

Weissman, Tsachy.

附加团体名称:

Banff International Research Station for Mathematics Innovation & Discovery.

论题主题:

Markov processes-Congresses.

论题主题:

Entropy (Information theory)-Congresses.

论题主题:

Dynamics-Congresses.

中图法分类号:

O211.62

一般附注:

Machine generated contents note: 1. Hidden Markov processes in the context of symbolic dynamics Mark Boyle and Karl Petersen; 2. On the preservation of Gibbsianess under symbol amalgamation Jean-Rene; Chazottes and E. Ugalde; 3. A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes Guangyue Han, Brian Marcus and Yuval Peres; 4. Bounds on the entropy rate of binary hidden Markov processes Erik Ordentlich and Tsachy Weissman; 5. Entropy rate for hidden Markov chains with rare transitions Yuval Peres and Anthony Quas; 6. The capacity of finite-state channels in the high-noise regime Henry Pfister; 7. Computing entropy rates for hidden Markov processes Mark Pollicott; 8. Factors of Gibbs measures for full shifts Mark Pollicott and Thomas Kempton; 9. Thermodynamics of hidden Markov processes Evgeny Verbitskiy.

书目附注:

Includes bibliographical references and index.

内容附注:

Machine generated contents note: 1. Hidden Markov processes in the context of symbolic dynamics Mark Boyle and Karl Petersen; 2. On the preservation of Gibbsianess under symbol amalgamation Jean-Rene; Chazottes and E. Ugalde; 3. A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes Guangyue Han, Brian Marcus and Yuval Peres; 4. Bounds on the entropy rate of binary hidden Markov processes Erik Ordentlich and Tsachy Weissman; 5. Entropy rate for hidden Markov chains with rare transitions Yuval Peres and Anthony Quas; 6. The capacity of finite-state channels in the high-noise regime Henry Pfister; 7. Computing entropy rates for hidden Markov processes Mark Pollicott; 8. Factors of Gibbs measures for full shifts Mark Pollicott and Thomas Kempton; 9. Thermodynamics of hidden Markov processes Evgeny Verbitskiy.

摘要附注:

"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 when mappings between dynamical systems map Markov measures to Markov (or Gibbs) measures or allow for Markov lifts of Markov chains".

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