Projective transformations of rotation sets

Francois Beguin (1) , Sylvain Crovisier (2) , Frederic Le Roux (3)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 LMO - Laboratoire de Mathématiques d'Orsay
3 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We give a new proof and extend a result of J. Kwapisz: whenever a set C is realized as the rotation set of some torus homeomorphism, the image of C under certain projective transformations is also realized as a rotations set.

Domaines: Systèmes dynamiques [math.DS]

Francois Beguin, Sylvain Crovisier, Frederic Le Roux. Projective transformations of rotation sets. Nonlinearity, 2019, 32 (4), pp.1237-1241. ⟨10.1088/1361-6544/aafcde⟩. ⟨hal-02367516⟩