Abstract
We have seen two ways in which uncertainty (and thus probability) may appear in the study of strictly deterministic systems. The first was the consequence of following a random distribution of initial states, which, in turn, led to a development of the notion of the Frobenius-Perron operator and an examination of its properties as a means of studying the asymptotic properties of flows of densities. The second resulted from the random application of a transformation S to a system and led naturally to our study of the linear Boltzmann equations.
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© 1994 Springer Science+Business Media New York
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Lasota, A., Mackey, M.C. (1994). Stochastic Perturbation of Discrete Time Systems. In: Chaos, Fractals, and Noise. Applied Mathematical Sciences, vol 97. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4286-4_10
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DOI: https://doi.org/10.1007/978-1-4612-4286-4_10
Publisher Name: Springer, New York, NY
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