Time operators and shift representation of dynamical systems

Research output: Contribution to journalArticle

19 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)299-313
Number of pages15
JournalPhysica A: Statistical Mechanics and its Applications
Volume269
Issue number2
Publication statusPublished - 15 Jul 1999

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

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