3 papers
math.DS2026
Brjuno condition through best approximations and the linearization problem
Nicolas Chevallier, João Lopes Dias, José Pedro Gaivão +2
We consider the classical analytic linearization problem for vector fields on the torus close to a constant vector field . Our goals are twofold. First, we provi…
math.DS2025
Ergodicity of cocyles over 2-dimensional rotations
Nicolas Chevallier, Jean-Pierre Conze
We study recurrence and ergodicity of cocycles with values in R d , d 1, over rotations by badly approximable irrational numbers on T , \> 1. The discontinuities…
math.DS2025
A dynamical view of Tijdeman's solution of the chairman assignment problem
Valérie Berthé, Olivier Carton, Nicolas Chevallier +2
In 1980, R. Tijdeman provided an on-line algorithm that generates sequences over a finite alphabet with minimal discrepancy, that is, such that the occurrence of each letter optima…