000			03672nam a22004218i 4500
001			CR9780511819407
003			UkCbUP
005			20200124160230.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101018s2011||||enk o ||1 0|eng|d
020			_a9780511819407 (ebook)
020			_z9780521111133 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA274.7 _b.E58 2011
082	0	0	_a519.2/33 _222
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.
246	3		_aEntropy of Hidden Markov Processes & Connections to Dynamical Systems
264		1	_aCambridge : _bCambridge University Press, _c2011.
300			_a1 online resource (vi, 272 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v385
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
520			_aHidden 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.
650		0	_aMarkov processes _vCongresses.
650		0	_aEntropy (Information theory) _vCongresses.
650		0	_aDynamics _vCongresses.
700	1		_aMarcus, Brian, _d1949- _eeditor.
700	1		_aPetersen, Karl Endel, _d1943- _eeditor.
700	1		_aWeissman, Tsachy, _eeditor.
710	2		_aBanff International Research Station for Mathematics Innovation & Discovery, _eissuing body.
776	0	8	_iPrint version: _z9780521111133
830		0	_aLondon Mathematical Society lecture note series ; _v385.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511819407
999			_c517548 _d517546