Upper bound for topological entropy of a meromorphic correspondence
  Let f be a meromorphic correspondence on a compact Kahler manifold. We show that the topological entropy of f is bounded from above by the logarithm of its maximal dynamical degree. An analogous estimate for the entropy on subvarieties is given. We also discuss a notion of Julia and Fatou sets. 
Tien-Cuong Dinh and Nessim Sibony