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035 _a(OCoLC)733045684
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072 7 _aMAT
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082 0 4 _a519.2/33
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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.
300 _a1 online resource (vi, 272 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v385
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
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
650 0 _aMarkov processes
_vCongresses.
_9920920
650 0 _aEntropy (Information theory)
_vCongresses.
_91512145
650 0 _aDynamics
_vCongresses.
_9276292
650 6 _aProcessus de Markov
_vCongrès.
_9920923
650 6 _aEntropie (Théorie de l'information)
_vCongrès.
_91512146
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
650 7 _aMarkov processes.
_2fast
_0(OCoLC)fst01010347
_9150957
655 4 _aElectronic books.
655 7 _aConference papers and proceedings.
_2fast
_0(OCoLC)fst01423772
700 1 _aMarcus, Brian,
_d1949-
_91512147
700 1 _aPetersen, Karl Endel,
_d1943-
_9949255
700 1 _aWeissman, Tsachy.
_91512148
710 2 _aBanff International Research Station for Mathematics Innovation & Discovery.
_91512149
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
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