Series 
London Mathematical Society lecture note series ; 385 

London Mathematical Society lecture note series ;
385.

Subject 
Markov processes  Congresses.


Entropy (Information theory)  Congresses.


Dynamics  Congresses.

Alt Name 
Marcus, Brian, 1949


Petersen, Karl Endel, 1943


Weissman, Tsachy.


Banff International Research Station for Mathematics Innovation & Discovery.

Description 
1 online resource (vi, 272 pages). 
Summary 
"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" Provided by publisher. 
Bibliography Note 
Includes bibliographical references (pages 270272). 
Contents 
Hidden Markov processes in the context of symbolic dynamics / Mark Boyle, Karl Petersen  On the preservation of Gibbsianess under symbol amalgamation / JeanRenĂ© 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 finitestate channels in the highnoise 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. 
Note 
Print version record. 
ISBN 
9781139092883 (electronic bk.) 

113909288X (electronic bk.) 

9780511819407 (electronic bk.) 

0511819404 (electronic bk.) 

9781139090971 

1139090976 

9780521111133 

0521111137 
ISBN/ISSN 
9786613127402 
OCLC # 
733045684 
Additional Format 
Print version: Entropy of hidden Markov processes and connections to dynamical systems. Cambridge ; New York : Cambridge University Press, 2011 9780521111133 (DLC) 2011005950 (OCoLC)703205174 
