Rafael Rosales

most citedPiecewise contractions defined by iterated function systems

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math.DS2014★ 3 cited

Piecewise contractions defined by iterated function systems

Arnaldo Nogueira, Benito Pires, Rafael A. Rosales

Let $ϕ_{1}, \dots, ϕ_{n} : [0, 1] \to (0, 1)$ be Lipschitz contractions. Let $I = [0, 1)$ , $x_{0} = 0$ and $x_{n} = 1$ . We prove that for Lebesgue almost every $(x_{1}, ..., x_{n - 1})$ satisfying $0<x_1<\cd…