UID:
almahu_9948233638802882
Format:
1 online resource (vi, 272 pages) :
,
digital, PDF file(s).
ISBN:
9780511819407 (ebook)
Series Statement:
London Mathematical Society lecture note series ; 385
Content:
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.
Note:
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.
Additional Edition:
Print version: ISBN 9780521111133
Language:
English
Subjects:
Mathematics
URL:
https://doi.org/10.1017/CBO9780511819407
