  We localize the entropy functionals of G. Perelman and generalize his
no-local-collapsing theorem and pseudo-locality theorem.
  Our generalization is technically inspired by further development of Li-Yau
estimate along the Ricci flow.
  It can be used to show the Gromov-Hausdorff convergence of the K\"ahler Ricci
flow on each minimal projective manifold of general type.
