Rafael A. Rosales

activity

20132026

most citedAsymptotically periodic piecewise contractions of the interval

19 citations · 25 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.DS2016

Topological dynamics of piecewise λ-affine maps

Arnaldo Nogueira, Benito Pires, Rafael A. Rosales

Let $- 1 < λ < 1$ and $f : [0, 1) \to R$ be a piecewise $λ$ -affine map, that is, there exist points $0 = c_{0} < c_{1} < \dots < c_{n - 1} < c_{n} = 1$ and real numbers $b_{1}, \dots, b_{n}$ such that $f(…

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…

math.DS2013★ 19 cited

Asymptotically periodic piecewise contractions of the interval

Arnaldo Nogueira, Benito Pires, Rafael A. Rosales

We consider the iterates of a generic injective piecewise contraction of the interval defined by a finite family of contractions. Let $ϕ_{i} : [0, 1] \to (0, 1)$ , $1 \leq i \leq n$ , be $C^{2}$ -…