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On excess entropies for stationary random fields

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We study the behaviour of the excess entropies of stationary random fields defined by Crutchfield and Feldman in two classes of random fields: Conze fields and product fields.
Słowa kluczowe
Rocznik
Strony
353--367
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland
autor
  • Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland
Bibliografia
  • [1] J. P. Conze, Entropie d’un groupe abelien de transformations, Z. Wahrsch. Verw. Gebiete 25 (1972), pp. 11-30.
  • [2] J. P. Crutchfield, Symbolic dynamics of noisy chaos, Physica D 7 (1983), pp. 201-223.
  • [3] J. P. Crutchfield and D. P. Feldman, Regularities unseen, randomness observed: Levels of entropy convergence, Chaos 13 (2003), pp. 25-54.
  • [4] J. P. Crutchfield and D. P. Feldman, Structural information in two-dimensional patterns: Entropy convergence and excess entropy, Phys. Rev. E 67 (2003), 051104, pp. 1-9.
  • [5] J. P. Crutchfield and N. H. Packard, Noise scaling of symbolic dynamics entropies, in: Evolution of Order and Chaos, H. Haken (Ed.), Springer, Berlin 1982, pp. 215-227.
  • [6] J. P. Crutchfield and N. H. Packard, Symbolic dynamics of one-dimensional maps: Entropies, finite precision and noise, Internat. J. Theoret. Phys. 21 (1982), pp. 433-466.
  • [7] Ł. Dębowski, Properties of the excess entropy for stochastic processes over several alphabets (in Polish), Ph.D. Thesis, Warszawa 2005.
  • [8] I. Filipowicz, Product Zd-actions on the Lebesgue space and their applications, Studia Math. 122 (1977), pp. 289-298.
  • [9] P. Grassberger, Toward a quantitative theory of self-generated complexity, Internat. J. Theoret. Phys. 25 (9) (1986), pp. 907-938.
  • [10] J. C. Kieffer, The isomorphism theorem for generalized Bernoulli schemes, Studies in Probability and Ergodic Theory Advances in Mathematics. Supplementary Studies 2 (1978), pp. 251-267.
  • [11] K. Lindgren, Complexity measures and cellular automata, Complex Systems 2 (4) (1988), pp. 409-440.
  • [12] N. H. Packard, Measurements of chaos in the presence of noise, Ph.D. Thesis, University of California, Santa Cruz, 1982.
  • [13] A. W. Safonov, Informational pasts in groups (in Russian), Izv. Akad. Nauk SSSR 47 (2) (1983), pp. 421-426.
  • [14] P. Shields, The theory of Bernoulli shifts, The University of Chicago Press, Chicago-London 1973.
  • [15] P. Walters, An Introduction to Ergodic Theory, Springer, New York-Heidelberg-Berlin 1982.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-462b7ca3-b28c-4fcf-9ef6-b33f9b2a4277
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