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

collaborators

Showing 2019Show all

2 papers · 1 filter

math.DS2019

Dynamics of 2-interval piecewise affine maps and Hecke-Mahler series

Michel Laurent, Arnaldo Nogueira

Let $f : [0, 1) \to [0, 1)$ be a $2$ -interval piecewise affine increasing map which is injective but not surjective. Such a map $f$ has a rotation number and can be parametriz…

math.NT2019

Diophantine approximation with nonsingular integral transformations

S. G. Dani, Arnaldo Nogueira

Let $Γ$ be the multiplicative semigroup of all $n \times n$ matrices with integral entries and positive determinant. Let $1 \leq p \leq n - 1$ and $V = R^{n} \oplus \dots \oplus R^{n}$ ($p…