Journal
PHYSICAL REVIEW LETTERS
Volume 100, Issue 18, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.100.184101
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Hamiltonian systems with a mixed phase space typically exhibit an algebraic decay of correlations and of Poincare recurrences, with numerical experiments over finite times showing system-dependent power-law exponents. We conjecture the existence of a universal asymptotic decay based on results for a Markov tree model with random scaling factors for the transition probabilities. Numerical simulations for different Hamiltonian systems support this conjecture and permit the determination of the universal exponent.
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