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Entropy of hidden Markov processes and connections to dynamical systems : papers from the Banff International Research Station workshop /
"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 co...
| Clasificación: | Libro Electrónico |
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| Autor Corporativo: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2011.
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| Colección: | London Mathematical Society lecture note series ;
385. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "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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| Descripción Física: | 1 online resource (vi, 272 pages) |
| Bibliografía: | Includes bibliographical references (pages 270-272). |
| ISBN: | 9781139092883 113909288X 9780511819407 0511819404 9781139090971 1139090976 |