Convergence of Dynamics and the Perron-Frobenius Operator

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Gerlach, Moritz;
  • Subject: Primary: 37A05, Secondary: 28D05, 37A25, 47A35 | Mathematics - Dynamical Systems | Mathematics - Functional Analysis

We complete the picture how the asymptotic behavior of a dynamical system is reflected by properties of the associated Perron-Frobenius operator. Our main result states that strong convergence of the powers of the Perron-Frobenius operator is equivalent to setwise conve... View more
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