Instability for the rotation set of diffeomorphisms of the torus   homotopic to the identity
  The aim of this short note is to explain how the arguments of the "closing lemma with time control" of F. Abdenur and S. Crovisier (arXiv:1111.4206) can be used to answer Question 1 of the article "Instability for the rotation set of homeomorphisms of the torus homotopic to the identity" of S. Addas-Zanata. 
Pierre-Antoine Guih\'eneuf
math.DS