Characterizations of intrinsically random dynamical systems

We show that intrinsically random dynamical systems with the Prigogine operator Λ of the form of a random Laplace transform, can be characterized as Kolmogorov flows (K-flows). We also obtain a spectral characterization in the language of the Weyl commutation relation. As a consequence we conclude that the dynamical system is intrinsically random if and only if its Liouvillian and time operators form a Schrödinger couple.

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Year of publication:	1990
Authors:	Suchanecki, Zdzisław ; Weron, Aleksander
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 166.1990, 2, p. 220-228
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011058095