Abstract
One says that Q is a Perron-Frobenius operator associated with τ and ρ. Notice that ρ is Q-invariant. Generally, the kernel Q is not Markov; when this is the case the probability distribution ρ is τ-invariant. Here is a typical example of this general setting.
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© 2001 Springer-Verlag Berlin Heidelberg
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(2001). Stochastic Properties Of Dynamical Systems Theorems A*, B*, C*, D*, E* . In: Hennion, H., Hervé, L. (eds) Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness. Lecture Notes in Mathematics, vol 1766. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44623-0_11
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DOI: https://doi.org/10.1007/3-540-44623-0_11
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