Asymptotic properties of sequences of iterates of nonlinear transformations
β Scribed by James B. McGuire; Colin J. Thompson
- Book ID
- 105036627
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Weight
- 737 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0022-4715
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## Abstract We consider several aspects of the relationship between a [0, 1]βvalued random variable __X__ and the random sequence of digits given by its __m__βary expansion. We present results for three cases: (a) independent and identically distributed digit sequences; (b) random variables __X__ w
This paper is mainly concerned with the study of recurrences defined by Mo biustransformations, whose solutions are the orbits of points on the Riemann-sphere under a sequence of Mo bius-transformations. We study the asymptotic behaviour of such solutions in relation to the asymptotic behaviour of t