Sur les rapprochements par conjugaison en dimension 1 et classe C^1
  We prove that the space of actions of Z^d by C^1 (orientation-preserving) diffeomorphisms of either the interval or the circle is connected by arcs. This is proved by showing that all such actions can be C^0 conjugated via a 1-parameter family into diffeomorphisms that converge to either the trivial action or an action by Euclidean rotations. Extensions for nilpotent group actions are provided. 
Andr\'es Navas
math.DS math.GR math.GT