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...
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Weitere Verfasser: | , , |
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2011.
|
Schriftenreihe: | London Mathematical Society lecture note series ;
385. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | "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"-- |
Beschreibung: | 1 online resource (vi, 272 pages) |
Bibliographie: | Includes bibliographical references (pages 270-272). |
ISBN: | 9781139092883 113909288X 9780511819407 0511819404 9781139090971 1139090976 |
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490 | 1 | |a London Mathematical Society lecture note series ; |v 385 | |
520 | |a "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"-- |c Provided by publisher | ||
504 | |a Includes bibliographical references (pages 270-272). | ||
505 | 0 | |a Hidden Markov processes in the context of symbolic dynamics / Mark Boyle, Karl Petersen -- On the preservation of Gibbsianess under symbol amalgamation / Jean-René Chazottes, E. Ugalde -- A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes / Guangyue Han, Brian Marcus, Yuval Peres -- Bounds on the entropy rate of binary hidden Markov processes / Erik Ordentlich, Tsachy Weissman -- Entropy rate for hidden Markov chains with rare transitions / Yuval Peres, Anthony Quas -- The capacity of finite-state channels in the high-noise regime / Henry Pfister -- Computing entropy rates for hidden Markov processes /Mark Pollicott -- Factors of Gibbs measures for full shifts / Mark Pollicott, Thomas Kempton -- Thermodynamics of hidden Markov processes / Evgeny Verbitskiy. | |
588 | 0 | |a Print version record. | |
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700 | 1 | |a Weissman, Tsachy. |0 http://id.loc.gov/authorities/names/no2010057616 | |
710 | 2 | |a Banff International Research Station for Mathematics Innovation & Discovery. |0 http://id.loc.gov/authorities/names/no2007006781 | |
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adam_text | |
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author2 | Marcus, Brian, 1949- Petersen, Karl Endel, 1943- Weissman, Tsachy |
author2_role | |
author2_variant | b m bm k e p ke kep t w tw |
author_GND | http://id.loc.gov/authorities/names/n79051221 http://id.loc.gov/authorities/names/n82077232 http://id.loc.gov/authorities/names/no2010057616 |
author_corporate | Banff International Research Station for Mathematics Innovation & Discovery |
author_corporate_role | |
author_facet | Marcus, Brian, 1949- Petersen, Karl Endel, 1943- Weissman, Tsachy Banff International Research Station for Mathematics Innovation & Discovery |
author_sort | Marcus, Brian, 1949- |
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contents | Hidden Markov processes in the context of symbolic dynamics / Mark Boyle, Karl Petersen -- On the preservation of Gibbsianess under symbol amalgamation / Jean-René Chazottes, E. Ugalde -- A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes / Guangyue Han, Brian Marcus, Yuval Peres -- Bounds on the entropy rate of binary hidden Markov processes / Erik Ordentlich, Tsachy Weissman -- Entropy rate for hidden Markov chains with rare transitions / Yuval Peres, Anthony Quas -- The capacity of finite-state channels in the high-noise regime / Henry Pfister -- Computing entropy rates for hidden Markov processes /Mark Pollicott -- Factors of Gibbs measures for full shifts / Mark Pollicott, Thomas Kempton -- Thermodynamics of hidden Markov processes / Evgeny Verbitskiy. |
ctrlnum | (OCoLC)733045684 |
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dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.2/33 |
dewey-search | 519.2/33 |
dewey-sort | 3519.2 233 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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publisher | Cambridge University Press, |
record_format | marc |
series | London Mathematical Society lecture note series ; |
series2 | London Mathematical Society lecture note series ; |
spelling | 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. Cambridge ; New York : Cambridge University Press, 2011. 1 online resource (vi, 272 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 385 "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"-- Provided by publisher Includes bibliographical references (pages 270-272). Hidden Markov processes in the context of symbolic dynamics / Mark Boyle, Karl Petersen -- On the preservation of Gibbsianess under symbol amalgamation / Jean-René Chazottes, E. Ugalde -- A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes / Guangyue Han, Brian Marcus, Yuval Peres -- Bounds on the entropy rate of binary hidden Markov processes / Erik Ordentlich, Tsachy Weissman -- Entropy rate for hidden Markov chains with rare transitions / Yuval Peres, Anthony Quas -- The capacity of finite-state channels in the high-noise regime / Henry Pfister -- Computing entropy rates for hidden Markov processes /Mark Pollicott -- Factors of Gibbs measures for full shifts / Mark Pollicott, Thomas Kempton -- Thermodynamics of hidden Markov processes / Evgeny Verbitskiy. Print version record. Markov processes Congresses. Entropy (Information theory) Congresses. Dynamics Congresses. Processus de Markov Congrès. Entropie (Théorie de l'information) Congrès. Dynamique Congrès. MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh Dynamics fast Entropy (Information theory) fast Markov processes fast Conference papers and proceedings fast Marcus, Brian, 1949- https://id.oclc.org/worldcat/entity/E39PBJkp6bmdcP6XJ8XPxck7HC http://id.loc.gov/authorities/names/n79051221 Petersen, Karl Endel, 1943- https://id.oclc.org/worldcat/entity/E39PBJqvWgdyyyDbtbhbfDw9jC http://id.loc.gov/authorities/names/n82077232 Weissman, Tsachy. http://id.loc.gov/authorities/names/no2010057616 Banff International Research Station for Mathematics Innovation & Discovery. http://id.loc.gov/authorities/names/no2007006781 has work: Entropy of hidden Markov processes and connections to dynamical systems (Text) https://id.oclc.org/worldcat/entity/E39PCGWPB8qQbMXDyYbJGTKkym https://id.oclc.org/worldcat/ontology/hasWork Print version: Entropy of hidden Markov processes and connections to dynamical systems. Cambridge ; New York : Cambridge University Press, 2011 9780521111133 (DLC) 2011005950 (OCoLC)703205174 London Mathematical Society lecture note series ; 385. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=369447 Volltext |
spellingShingle | Entropy of hidden Markov processes and connections to dynamical systems : papers from the Banff International Research Station workshop / London Mathematical Society lecture note series ; Hidden Markov processes in the context of symbolic dynamics / Mark Boyle, Karl Petersen -- On the preservation of Gibbsianess under symbol amalgamation / Jean-René Chazottes, E. Ugalde -- A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes / Guangyue Han, Brian Marcus, Yuval Peres -- Bounds on the entropy rate of binary hidden Markov processes / Erik Ordentlich, Tsachy Weissman -- Entropy rate for hidden Markov chains with rare transitions / Yuval Peres, Anthony Quas -- The capacity of finite-state channels in the high-noise regime / Henry Pfister -- Computing entropy rates for hidden Markov processes /Mark Pollicott -- Factors of Gibbs measures for full shifts / Mark Pollicott, Thomas Kempton -- Thermodynamics of hidden Markov processes / Evgeny Verbitskiy. Markov processes Congresses. Entropy (Information theory) Congresses. Dynamics Congresses. Processus de Markov Congrès. Entropie (Théorie de l'information) Congrès. Dynamique Congrès. MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh Dynamics fast Entropy (Information theory) fast Markov processes fast |
title | Entropy of hidden Markov processes and connections to dynamical systems : papers from the Banff International Research Station workshop / |
title_auth | Entropy of hidden Markov processes and connections to dynamical systems : papers from the Banff International Research Station workshop / |
title_exact_search | Entropy of hidden Markov processes and connections to dynamical systems : papers from the Banff International Research Station workshop / |
title_full | 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. |
title_fullStr | 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. |
title_full_unstemmed | 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. |
title_short | Entropy of hidden Markov processes and connections to dynamical systems : |
title_sort | entropy of hidden markov processes and connections to dynamical systems papers from the banff international research station workshop |
title_sub | papers from the Banff International Research Station workshop / |
topic | Markov processes Congresses. Entropy (Information theory) Congresses. Dynamics Congresses. Processus de Markov Congrès. Entropie (Théorie de l'information) Congrès. Dynamique Congrès. MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh Dynamics fast Entropy (Information theory) fast Markov processes fast |
topic_facet | Markov processes Congresses. Entropy (Information theory) Congresses. Dynamics Congresses. Processus de Markov Congrès. Entropie (Théorie de l'information) Congrès. Dynamique Congrès. MATHEMATICS Probability & Statistics Stochastic Processes. Dynamics Entropy (Information theory) Markov processes Conference papers and proceedings |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=369447 |
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