Time operators and shift representation of dynamical systems

We introduce and characterise time operators for unilateral shifts and exact endomorphisms. The associated shift representation of evolution is related to the spectral representation by a generalized Fourier transform. We illustrate the results for a simple exact system, namely the Renyi map.

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Year of publication:	1999
Authors:	Antoniou, I. ; Sadovnichii, V.A. ; Shkarin, S.A.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 269.1999, 2, p. 299-313
Publisher:	Elsevier
Subject:	Time operator \| Shift \| Exact systems \| Koopman operator

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

Persistent link: https://www.econbiz.de/10010664871