On the Time Average of the Autocorrelation Function in Hamiltonian Dynamics

Details On the Time Average of the Autocorrelation Function in Hamiltonian Dynamics On the Time Average of the Autocorrelation Function in Hamiltonian Dynamics

2008-11-28

arxiv.org/abs/0811.4687v1

Mathematics

Dynamical Systems

20 pages

Scientific paper

Rigorous lower bound on the time-average of the autocorrelation function of
an arbitrary L^1 observable is proven in terms of conserved quantities and
ergodic decompositions of the Hamiltonian dynamics. Improvements with respect
to the bounds given by Mazur and Suzuki are discussed.

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