Titlebook: Chaos, Fractals, and Noise; Stochastic Aspects o Andrzej Lasota,Michael C. Mackey Textbook 1994Latest edition Springer Science+Business Med

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Ausgangspunkte, Begriffe, Thesen,ormations can display. These three levels are known as ergodicity, mixing, and exactness. The central theme of the chapter is to show the utility of the Frobenius–Perron and Koopman operators in the study of these behaviors.

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Modern Dance and the Modernist Work,e of the material developed in Chapter 5 Although results are often stated in terms of the asymptotic stability of {..}, where . is a Frobenius—Perron operator corresponding to a transformation ., remember that, according to Proposition 5.6.2, . is exact when {..} is asymptotically stable and . is measure preserving.

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https://doi.org/10.1007/978-1-4612-4286-4Ergodic theory; Markov process; Probability theory; measure theory; partial differential equation

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Applied Mathematical Scienceshttp://image.papertrans.cn/c/image/223908.jpg

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Sozialtheoretische Dimensionen,In this and the following chapter, we introduce basic concepts necessary for understanding the flow of densities. These concepts may be studied in detail before continuing on to the core of our subject matter, which starts in Chapter 4, or, they may be skimmed on first reading to fix the location of important concepts for later reference.