H\"older regularity of the solutions of the cohomological equation for   Roth type interval exchange maps
  We prove that the solutions of the cohomological equation for Roth type interval exchange maps are H\"older continuous provided that the datum is of class $C^r$ with $r>1$ and belongs to a finite-codimension linear subspace. 
Stefano Marmi, Jean-Christophe Yoccoz
math.DS