Entropy Of Hidden Markov Processes And Connections To Dynamical Systems
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Entropy Of Hidden Markov Processes And Connections To Dynamical Systems
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Author : Brian Marcus
language : en
Publisher: Cambridge University Press
Release Date : 2011-05-26
Entropy Of Hidden Markov Processes And Connections To Dynamical Systems written by Brian Marcus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Mathematics categories.
This collection of research and survey papers sets out the theory of hidden Markov processes, in particular addressing a central problem of the subject: computation of the Shannon entropy rate of an HMP. Connections are drawn between approaches from various disciplines, whilst recent research results and open problems are described.
Entropy Of Hidden Markov Processes And Connections To Dynamical Systems
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Author : Brian Marcus
language : en
Publisher:
Release Date : 2014-05-14
Entropy Of Hidden Markov Processes And Connections To Dynamical Systems written by Brian Marcus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Dynamics categories.
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, characterizing 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.
Entropy Of Hidden Markov Processes And Connections To Dynamical Systems
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Author : Brian Marcus
language : en
Publisher:
Release Date : 2011
Entropy Of Hidden Markov Processes And Connections To Dynamical Systems written by Brian Marcus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
An Introduction To Symbolic Dynamics And Coding
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Author : Douglas A. Lind
language : en
Publisher: Cambridge University Press
Release Date : 2021-01-21
An Introduction To Symbolic Dynamics And Coding written by Douglas A. Lind and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-21 with Language Arts & Disciplines categories.
Elementary introduction to symbolic dynamics, updated to describe the main advances in the subject since the original publication in 1995.
Asymptotic Analysis In General Relativity
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Author : Thierry Daudé
language : en
Publisher: Cambridge University Press
Release Date : 2018-01-11
Asymptotic Analysis In General Relativity written by Thierry Daudé and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-11 with Mathematics categories.
Introduction to modern methods for classical and quantum fields in general relativity / Thierry Daudé, Dietrich Häfner, and Jean-Philippe Nicolas -- Geometry of black hole spacetimes / Lars Andersson, Thomas B. Ackdahl, and Pieter Blue -- An introduction to Quantum Field Theory on curved space-times / Christian Gerard -- A minicourse on microlocal analysis for wave propagation / Andras Vasy -- An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity / Sean N. Curry and A. Rod Gover
Surveys In Combinatorics 2015
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Author : Artur Czumaj
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-02
Surveys In Combinatorics 2015 written by Artur Czumaj and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-02 with Mathematics categories.
This volume contains nine survey articles based on the invited lectures given at the 25th British Combinatorial Conference, held at the University of Warwick in July 2015. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, Ramsey theory, combinatorial geometry and curves over finite fields. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results and give a unique preview of cutting-edge developments. The book provides a valuable survey of the present state of knowledge in combinatorics, and will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.
Polynomials And The Mod 2 Steenrod Algebra
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Author : Grant Walker (Mathematician)
language : en
Publisher: Cambridge University Press
Release Date : 2018
Polynomials And The Mod 2 Steenrod Algebra written by Grant Walker (Mathematician) and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Polynomials categories.
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
The Calabi Problem For Fano Threefolds
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Author : Carolina Araujo
language : en
Publisher: Cambridge University Press
Release Date : 2023-06-29
The Calabi Problem For Fano Threefolds written by Carolina Araujo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-29 with Mathematics categories.
This book determines whether the general element of each family of Fano threefolds is K-polystable, a major problem in mathematics.
Surveys In Combinatorics 2022
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Author : Anthony Nixon
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09
Surveys In Combinatorics 2022 written by Anthony Nixon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Mathematics categories.
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
The Logical Approach To Automatic Sequences
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Author : Jeffrey Shallit
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-29
The Logical Approach To Automatic Sequences written by Jeffrey Shallit and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Computers categories.
Learn how to automatically prove mathematical statements in combinatorics, sequences, and number theory.