  We compute universal distributions for the transition probabilities of a
Markov model for transport in the mixed phase space of area-preserving maps and
verify that the survival probability distribution for trajectories near an
infinite island-around-island hierarchy exhibits, on average, a power law decay
with exponent $\gamma = 1.57$. This exponent agrees with that found from
simulations of the H\'enon and Chirikov-Taylor maps. This provides evidence
that the Meiss-Ott Markov tree model describes the transport for mixed systems.
