Abstract
This chapter is devoted to a series of examples of transformations on intervals and manifolds whose asymptotic behavior can be explored through the use of the material developed in Chapter 5 Although results are often stated in terms of the asymptotic stability of {P n}, where P is a Frobenius—Perron operator corresponding to a transformation S, remember that, according to Proposition 5.6.2, S is exact when {P n} is asymptotically stable and S is measure preserving.
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© 1994 Springer Science+Business Media New York
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Lasota, A., Mackey, M.C. (1994). The Behavior of Transformations on Intervals and Manifolds. In: Chaos, Fractals, and Noise. Applied Mathematical Sciences, vol 97. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4286-4_6
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DOI: https://doi.org/10.1007/978-1-4612-4286-4_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8723-0
Online ISBN: 978-1-4612-4286-4
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