机读格式显示(MARC)
- 000 04262cam a2200385 a 4500
- 008 110211s2011 enka b 101 0 eng
- 020 __ |a 9780521111133 (pbk.)
- 020 __ |a 0521111137 (pbk.)
- 035 __ |a (OCoLC)703205174
- 040 __ |a DLC |c DLC |d YDX |d BTCTA |d YDXCP |d CDX |d IXA |d BWX |d UKMGB |d STF |d MIX |d CIN
- 050 00 |a QA274.7 |b .E58 2011
- 245 00 |a Entropy of hidden Markov processes and connections to dynamical systems : |b papers from the Banff International Research Station workshop / |c edited by Brian Marcus, Karl Petersen, Tsachy Weissman.
- 260 __ |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2011.
- 300 __ |a vi, 272 p. : |b ill. ; |c 23 cm.
- 490 1_ |a London Mathematical Society lecture note series ; |v 385.
- 520 __ |a "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".
- 504 __ |a Includes bibliographical references and index.
- 500 __ |a Machine generated contents note: 1. Hidden Markov processes in the context of symbolic dynamics Mark Boyle and Karl Petersen; 2. On the preservation of Gibbsianess under symbol amalgamation Jean-Rene; Chazottes and E. Ugalde; 3. A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes Guangyue Han, Brian Marcus and Yuval Peres; 4. Bounds on the entropy rate of binary hidden Markov processes Erik Ordentlich and Tsachy Weissman; 5. Entropy rate for hidden Markov chains with rare transitions Yuval Peres and Anthony Quas; 6. The capacity of finite-state channels in the high-noise regime Henry Pfister; 7. Computing entropy rates for hidden Markov processes Mark Pollicott; 8. Factors of Gibbs measures for full shifts Mark Pollicott and Thomas Kempton; 9. Thermodynamics of hidden Markov processes Evgeny Verbitskiy.
- 505 8_ |a Machine generated contents note: 1. Hidden Markov processes in the context of symbolic dynamics Mark Boyle and Karl Petersen; 2. On the preservation of Gibbsianess under symbol amalgamation Jean-Rene; Chazottes and E. Ugalde; 3. A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes Guangyue Han, Brian Marcus and Yuval Peres; 4. Bounds on the entropy rate of binary hidden Markov processes Erik Ordentlich and Tsachy Weissman; 5. Entropy rate for hidden Markov chains with rare transitions Yuval Peres and Anthony Quas; 6. The capacity of finite-state channels in the high-noise regime Henry Pfister; 7. Computing entropy rates for hidden Markov processes Mark Pollicott; 8. Factors of Gibbs measures for full shifts Mark Pollicott and Thomas Kempton; 9. Thermodynamics of hidden Markov processes Evgeny Verbitskiy.
- 650 _0 |a Markov processes |v Congresses.
- 650 _0 |a Entropy (Information theory) |v Congresses.
- 650 _0 |a Dynamics |v Congresses.
- 700 1_ |a Marcus, Brian, |d 1949-
- 700 1_ |a Petersen, Karl Endel, |d 1943-
- 700 1_ |a Weissman, Tsachy.
- 710 2_ |a Banff International Research Station for Mathematics Innovation & Discovery.
- 830 _0 |a London Mathematical Society lecture note series ; |v 385.