On the Time Average of the Autocorrelation Function in Hamiltonian Dynamics

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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.
20 pages

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Dynamical Systems, Statistical Mechanics, Mathematical Physics, 37K05, 37A25, 37A60

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http://salesiana.dossiersoluciones.com/handle/123456789/209354

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.4687
 http://arxiv.org/abs/0811.4687

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arXiv