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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 2013Show all

3 papers · 1 filter

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 , , be -…

math.NT2013

Multi-dimensional metric approximation by primitive points

S. G. Dani, Michel Laurent, Arnaldo Nogueira

We refine metrical statements in the style of the Khintchine-Groshev Theorem by requiring certain coprimality constraints on the coordinates of the integer solutions.

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…