000 | 05901cam a2200865 a 4500 | ||
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001 | ocn733045684 | ||
003 | OCoLC | ||
005 | 20220713070223.0 | ||
006 | m o d | ||
007 | cr cnu---unuuu | ||
008 | 110627s2011 enk ob 100 0 eng d | ||
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_a519.2/33 _222 |
049 | _aMAIN | ||
245 | 0 | 0 |
_aEntropy of hidden Markov processes and connections to dynamical systems : _bpapers from the Banff International Research Station workshop / _cedited by Brian Marcus, Karl Petersen, Tsachy Weissman. |
260 |
_aCambridge ; _aNew York : _bCambridge University Press, _c2011. |
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300 | _a1 online resource (vi, 272 pages) | ||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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490 | 1 |
_aLondon Mathematical Society lecture note series ; _v385 |
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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"-- _cProvided by publisher |
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504 | _aIncludes bibliographical references (pages 270-272). | ||
505 | 0 | _aHidden 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 | _aPrint version record. | |
590 |
_aeBooks on EBSCOhost _bEBSCO eBook Subscription Academic Collection - Worldwide |
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650 | 0 |
_aMarkov processes _vCongresses. _9920920 |
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650 | 0 |
_aEntropy (Information theory) _vCongresses. _91512145 |
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650 | 0 |
_aDynamics _vCongresses. _9276292 |
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650 | 6 |
_aProcessus de Markov _vCongrès. _9920923 |
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650 | 6 |
_aEntropie (Théorie de l'information) _vCongrès. _91512146 |
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650 | 6 |
_aDynamique _vCongrès. _91059634 |
|
650 | 7 |
_aMATHEMATICS _xProbability & Statistics _xStochastic Processes. _2bisacsh _9868995 |
|
650 | 7 |
_aDynamics. _2fast _0(OCoLC)fst00900295 _927831 |
|
650 | 7 |
_aEntropy (Information theory) _2fast _0(OCoLC)fst00912828 _9154709 |
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650 | 7 |
_aMarkov processes. _2fast _0(OCoLC)fst01010347 _9150957 |
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655 | 4 | _aElectronic books. | |
655 | 7 |
_aConference papers and proceedings. _2fast _0(OCoLC)fst01423772 |
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700 | 1 |
_aMarcus, Brian, _d1949- _91512147 |
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700 | 1 |
_aPetersen, Karl Endel, _d1943- _9949255 |
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700 | 1 |
_aWeissman, Tsachy. _91512148 |
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710 | 2 |
_aBanff International Research Station for Mathematics Innovation & Discovery. _91512149 |
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776 | 0 | 8 |
_iPrint version: _tEntropy of hidden Markov processes and connections to dynamical systems. _dCambridge ; New York : Cambridge University Press, 2011 _z9780521111133 _w(DLC) 2011005950 _w(OCoLC)703205174 |
830 | 0 |
_aLondon Mathematical Society lecture note series ; _v385. _9144795 |
|
856 | 4 | 0 | _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=369447 |
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