Analogue ensembles in Takens-reconstructed phase spaces have volumes and time-dispersion dynamics determined by the scale-invariance properties of the underlying stochastic process.
Granero-Belinchon, Analog-based ensembles to characterise turbulent dynamics from observed data, Journal of Turbu- lence 27 (2026) 17–28
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Structural and Lagrangian properties of analogue ensembles to characterize multifractality of stochastic processes
Analogue ensembles in Takens-reconstructed phase spaces have volumes and time-dispersion dynamics determined by the scale-invariance properties of the underlying stochastic process.