• DocumentCode
    1976153
  • Title

    Statistics for dynamical sources

  • Author

    Vallée, Brigitte

  • Author_Institution
    CNRS, Univ. of Caen, Caen
  • fYear
    2006
  • fDate
    13-17 March 2006
  • Firstpage
    102
  • Lastpage
    106
  • Abstract
    A quite general model of source that comes from dynamical systems theory is introduced. Within this model, basic problems of algorithmic information theory contexts are analysed. The main tool is a new object, a (generalized) transfer operator, which can be viewed as a "generating" operator for "fundamental" probabilities. Its dominant spectral objects are related to important parameters of the source, such as the entropy, and play a central role in all the results.
  • Keywords
    information theory; statistical analysis; algorithmic information theory; dynamical sources statistics; dynamical systems theory; fundamental probabilities; generating operator; transfer operator; Context modeling; Distribution functions; Encoding; Entropy; Geometry; History; Information theory; Shape; Statistics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop, 2006. ITW '06 Punta del Este. IEEE
  • Conference_Location
    Punta del Este
  • Print_ISBN
    1-4244-0035-X
  • Electronic_ISBN
    1-4244-0036-8
  • Type

    conf

  • DOI
    10.1109/ITW.2006.1633790
  • Filename
    1633790