Dynamics of quasi-parabolic one-resonant biholomorphisms
  In this paper we study the dynamics of germs of quasi-parabolic one-resonant biholomorphisms of $\C^{n+1}$ fixing the origin, namely, those germs whose differential at the origin has one eigenvalue 1 and the others having a one dimensional family of resonant relations. We define some invariants and give conditions which ensure the existence of attracting domains for such maps. 
Filippo Bracci, Feng Rong
math.CV math.DS