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 2020Show all

3 papers · 1 filter

math.DS2020

Chess Billiards

Arnaldo Nogueira, Serge Troubetzkoy

We show the chess billiard map, which was introduced in [HM] in order to study a generalization of the $n$ -Queens problem in chess, is a circle homeomorphism. We give a survey of s…

math.DS2020

Dynamics of piecewise increasing contractions

José Pedro Gaivão, Arnaldo Nogueira

Let $I_{1} = [a_{0}, a_{1}), \dots, I_{k} = [a_{k - 1}, a_{k})$ be a partition of the interval $I = [0, 1)$ into $k$ subintervals. Let $f : I \to I$ be a map such that each restriction $f ∣_{I_{i}}$ is an…

math.NT2020

On the Diophantine nature of the elements of Cantor sets arising in the dynamics of contracted rotations

Yann Bugeaud, Dong Han Kim, Michel Laurent +1

We prove that these Cantor sets are made up of transcendental numbers, apart from their endpoints $0$ and $1$ , under some arithmetical assumptions on the data. To that purpose, we…