Characterizations of intrinsically random dynamical systems

Zdzisław Suchanecki and Aleksander Weron

Physica A: Statistical Mechanics and its Applications, 1990, vol. 166, issue 2, 220-228

Abstract: 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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:166:y:1990:i:2:p:220-228

DOI: 10.1016/0378-4371(90)90014-J

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