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 collecti...
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| Weitere beteiligte Personen: | , , |
|---|---|
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
|
| Schriftenreihe: | London Mathematical Society lecture note series
385 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9780511819407 https://doi.org/10.1017/CBO9780511819407 https://doi.org/10.1017/CBO9780511819407 |
| 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 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Umfang: | 1 online resource (vi, 272 pages) |
| ISBN: | 9780511819407 |
| DOI: | 10.1017/CBO9780511819407 |
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| 505 | 8 | |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 | |
| 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 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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| 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 | (ZDB-20-CBO)CR9780511819407 (OCoLC)839020494 (DE-599)BVBBV043941413 |
| dewey-full | 519.2/33 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| 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 |
| doi_str_mv | 10.1017/CBO9780511819407 |
| format | Electronic Conference Proceeding eBook |
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| 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 Entropy of Hidden Markov Processes & Connections to Dynamical Systems Cambridge Cambridge University Press 2011 1 online resource (vi, 272 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 385 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 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 Markov processes / Congresses Entropy (Information theory) / Congresses Dynamics / Congresses Dynamisches System (DE-588)4013396-5 gnd rswk-swf Hidden-Markov-Modell (DE-588)4352479-5 gnd rswk-swf Entropie Informationstheorie (DE-588)4743861-7 gnd rswk-swf Banff Alberta (DE-588)4124604-4 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Hidden-Markov-Modell (DE-588)4352479-5 s Entropie Informationstheorie (DE-588)4743861-7 s Dynamisches System (DE-588)4013396-5 s Banff Alberta (DE-588)4124604-4 g 1\p DE-604 Marcus, Brian 1949- edt Petersen, Karl Endel 1943- edt Weissman, Tsachy edt Banff International Research Station for Mathematics Innovation & Discovery issuing body Sonstige oth Erscheint auch als Druckausgabe 978-0-521-11113-3 https://doi.org/10.1017/CBO9780511819407 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Entropy of hidden Markov processes and connections to dynamical systems papers from the Banff International Research Station workshop 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 Dynamisches System (DE-588)4013396-5 gnd Hidden-Markov-Modell (DE-588)4352479-5 gnd Entropie Informationstheorie (DE-588)4743861-7 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4352479-5 (DE-588)4743861-7 (DE-588)4124604-4 (DE-588)1071861417 |
| title | Entropy of hidden Markov processes and connections to dynamical systems papers from the Banff International Research Station workshop |
| title_alt | Entropy of Hidden Markov Processes & Connections to Dynamical Systems |
| 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 Dynamisches System (DE-588)4013396-5 gnd Hidden-Markov-Modell (DE-588)4352479-5 gnd Entropie Informationstheorie (DE-588)4743861-7 gnd |
| topic_facet | Markov processes / Congresses Entropy (Information theory) / Congresses Dynamics / Congresses Dynamisches System Hidden-Markov-Modell Entropie Informationstheorie Banff Alberta Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511819407 |
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