Gómez-Cubillo, Fernando; Suchanecki, Zdzislaw Breakdown of time reversal symmetry: intrinsic randomness, time operator, scattering. (English) Zbl 1147.82337 J. Geom. Symmetry Phys. 11, 33-40 (2008). Summary: Misra-Prigogine-Courbage theory of irreversibility is revisited on the basis of Nagy-Foiaş dilation theory and Halmos-Helson theory of invariant subspaces. 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. Cited in 3 Documents MSC: 82C05 Classical dynamic and nonequilibrium statistical mechanics (general) 47A40 Scattering theory of linear operators PDF BibTeX XML Cite \textit{F. Gómez-Cubillo} and \textit{Z. Suchanecki}, J. Geom. Symmetry Phys. 11, 33--40 (2008; Zbl 1147.82337)