Markov and Foias Operators

  • Andrzej Lasota
  • Michael C. Mackey
Part of the Applied Mathematical Sciences book series (AMS, volume 97)


Throughout this book we have studied the asymptotic behavior of densities. However, in some cases the statistical properties of dynamical systems are better described if we use a more general notion than a density, namely, a measure. In fact, the sequences (or flows) of measures generated by dynamical systems simultaneously generalize the notion of trajectories and the sequences (or flows) of densities. They are of particular value in studying fractals.


Asymptotic Stability Strong Convergence Iterate Function System Finite Measure Invariant Distribution 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Andrzej Lasota
    • 1
  • Michael C. Mackey
    • 2
  1. 1.Institute of MathematicsSilesian UniversityKatowicePoland
  2. 2.Center of Nonlinear DynamicsMcGill UniversityMontrealCanada

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