Iterates of expanding maps (Q1974436)
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scientific article; zbMATH DE number 1439652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterates of expanding maps |
scientific article; zbMATH DE number 1439652 |
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Iterates of expanding maps (English)
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6 January 2002
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Let \(h:I=[0,1]\to I\) be a piecewise monotone, \(C^1\) and uniformly expanding map. The authors are mainly interested in the iterates of \(h\). They show that the sequence of iterates can be closely tied to an \(m\)-dependent process. This provides good bounds on the accuracy of Gaussian approximations. To this end the authors use coupling and Stein's method.
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iteration
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expanding map
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Gaussian approximations
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Stein's method
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