• Michael C. Mackey
Part of the Springer Study Edition book series (SSE)


In this chapter, we consider systems with irregular dynamical behaviors that are stronger than ergodic. Namely, we consider dynamics described by measure preserving transformations that have the property of strong, or Hopf, mixing. Systems with mixing dynamics have entropies that are forever fixed by their mode of preparation. This is followed by a brief discussion of Kolmogorov systems in Section B. Section C discusses the behavior of temporal correlation between dynamical variables, showing that mixing is necessary and sufficient for the decay of temporal correlations to zero.


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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Michael C. Mackey
    • 1
  1. 1.Center for Nonlinear Dynamics in Physiology and MedicineMcGill UniversityMontrealCanada

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