Markov and Foias Operators
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.
KeywordsAsymptotic Stability Strong Convergence Iterate Function System Finite Measure Invariant Distribution
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