Title :
Statistics for dynamical sources
Author :
Vallée, Brigitte
Author_Institution :
CNRS, Univ. of Caen, Caen
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;
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
DOI :
10.1109/ITW.2006.1633790
