A. Nogueira

activity

20102025

most citedDynamics of piecewise contractions of the interval

23 citations · 64 across the 18 of their papers we have counts for

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Showing 2013 · math.DSShow all

2 papers · 2 filters

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 $C^{2}$ -…

math.DS2013★ 2 cited

Classical homogeneous multidimensional continued fraction algorithms are ergodic

Jonathan Chaika, Arnaldo Nogueira

Homogeneous continued fraction algorithms are multidimensional generalizations of the classical Euclidean algorithm, the dissipative map $$ (x_1,x_2) \in \mathbb{R}_+^2 \longmapsto…