Physical Review E
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 γ=1.57. This exponent agrees with that found from simulations of the Hénon and Chirikov-Taylor maps. This provides evidence that the Meiss-Ott Markov tree model describes the transport for mixed systems.
Alus, Or; Fishman, Shmuel; and Meiss, James D., "Universal Exponent for Transport in Mixed Hamiltonian Dynamics" (2017). Applied Mathematics Faculty Contributions. 6.