On the Time Average of the Autocorrelation Function in Hamiltonian Dynamics
classification
🧮 math.DS
cond-mat.stat-mechmath-phmath.MP
keywords
autocorrelationdynamicsfunctionhamiltonianarbitraryaverageboundbounds
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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.
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