2 papers
math.DS2026
Multidimensional contracted rotations
Jose Pedro Gaivao, Benito Pires
We study the dynamics of multidimensional contracted rotations and address a problem posed by Y. Bugeaud and J-P. Conze in \textit{Acta Arithmetica} in 1999. More precisely, we sho…
math.DS2025
Multi-dimensional piecewise contractions are asymptotically periodic
Jose Pedro Gaivao, Benito Pires
Piecewise contractions (PCs) are piecewise smooth maps that decrease distance between pairs of points in the same domain of continuity. The dynamics of a variety of systems is desc…