Entropy of Hidden Markov Processes and Connections to Dynamical Systems

Name: Entropy of Hidden Markov Processes and Connections to Dynamical Systems
SKU: 10403569
Price: 219.00 NZD
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Papers from the Banff International Research Station Workshop

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Paperback / softback

Series:

London Mathematical Society Lecture Note Series,

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Description

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.

Author Biography:

Brian Marcus is a Professor in the Department of Mathematics at the University of British Columbia. He is a Fellow of the IEEE and was co-recipient of the Leonard G. Abraham Prize Paper Award of the IEEE Communications Society in 1993. He has published over 60 research papers and holds 12 US patents. Karl Petersen is a Professor of Mathematics at the University of North Carolina, Chapel Hill. He has previously written the book Ergodic Theory (Cambridge, 1983) and numerous research papers. Tsachy Weissman is an Associate Professor of Electrical Engineering at Stanford University, California and at the Technion. He is a recipient of the joint Information Theory - Communication Society best paper award, a Horev Fellowship for Leaders in Science and Technology and the Henry Taub Prize for excellence in research. He currently serves as Associate Editor of Shannon Theory for the IEEE Transactions on Information Theory.

Release date NZ

May 26th, 2011

Audience

Professional & Vocational

Contributors

Edited by Brian Marcus
Edited by Karl Petersen
Edited by Tsachy Weissman

Illustrations

8 Line drawings, unspecified

Pages

280

Series

London Mathematical Society Lecture Note Series,

Dimensions

150x226x15

ISBN-13

9780521111133

Product ID

10403569

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Entropy of Hidden Markov Processes and Connections to Dynamical Systems

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