High frequency spectra and analyticity properties of time series in classical fluids

DOI10.1016/S0378-4371(02)01988-XzbMath1038.82085MaRDI QIDQ1866923

Max Teubner

Publication date: 23 April 2003

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

autocorrelation functionsinfinitely differentiable functionsWiener predictability

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Statistical mechanics of liquids (82D15) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

• Exponential decay of power spectra at high frequency and positive Lyapunov exponents
• Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations
• Predictability: a way to characterize complexity
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