Asymptotic Statistics of Poincar\'e Recurrences in Hamiltonian Systems   with Divided Phase Space
  By different methods we show that for dynamical chaos in the standard map with critical golden curve the Poincar\'e recurrences P(\tau) and correlations C(\tau) asymptotically decay in time as P ~ C/\tau ~ 1/\tau^3. It is also explained why this asymptotic behavior starts only at very large times. We argue that the same exponent p=3 should be also valid for a general chaos border. 
B.V.Chirikov and D.L.Shepelyansky