Time operators and shift representation of dynamical systems

I. Antoniou, V.A. Sadovnichii and S.A. Shkarin

Physica A: Statistical Mechanics and its Applications, 1999, vol. 269, issue 2, 299-313

Abstract: 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.

Keywords: Time operator; Shift; Exact systems; Koopman operator (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:269:y:1999:i:2:p:299-313

DOI: 10.1016/S0378-4371(99)00070-9

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