Misiurewicz parameters and dynamical stability of polynomial-like maps   of large topological degree
  Given a family of polynomial-like maps of large topological degree, we relate the presence of Misiurewicz parameters to a growth condition of the postcritical volume. This allows us to generalize to this setting the theory of stability and bifurcation developed by Berteloot, Dupont and the author for endomorphisms of $\mathbb{P}^k$. 
Fabrizio Bianchi
math.DS math.CV