On the Time Average of the Autocorrelation Function in Hamiltonian Dynamics
Dynamical Systems
2008-12-04 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0811.4687,
title = {On the Time Average of the Autocorrelation Function in Hamiltonian Dynamics},
author = {Pavle Saksida and Tomaz Prosen},
journal= {arXiv preprint arXiv:0811.4687},
year = {2008}
}
Comments
20 pages