[en] Misra-Prigogine-Courbage theory of irreversibility is revisited on the basis of Nagy-Foia~ dilation theory and Halmos-Helson theory of invariant sub-spaces. Universal models for intrinsically random dynamics are given as well as equivalent conditions to the existence of internal time operators, where innovation processes and Lax-Phillips scattering appear in a natural way.
Disciplines :
Mathematics
Identifiers :
UNILU:UL-ARTICLE-2011-154
Author, co-author :
Gomez-Cubillo, Fernando; University of Valladolid
Suchanecki, Zdzislaw ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC)
External co-authors :
yes
Language :
English
Title :
Breakdown of Time-Reversal Symmetry: Intrinsic Randomness, Time Operator, Scattering
Publication date :
2008
Journal title :
Journal of Geometry and Symmetry in Physics
ISSN :
1314-5673
Publisher :
Bulgarian Academy of Sciences. Institute of Biophysics, Sofia, Bulgaria
