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arXiv · 2512.08570

Transcript-based estimators for characterizing interactions

Manuel Adams·José M. Amigó·Klaus Lehnertz
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Abstract

The concept of transcripts was introduced in 2009 as a means to characterize various aspects of the functional relationship between time series of interacting systems. Based on this concept that utilizes algebraic relations between ordinal patterns derived from time series, estimators for the strength, direction, and complexity of interactions have been introduced. These estimators, however, have not yet found widespread application in studies of interactions between real-world systems. Here, we revisit the concept of transcripts and showcase the usage of transcript-based estimators for a time-series-based investigation of interactions between coupled paradigmatic dynamical systems of varying complexity. At the example of a time-resolved analysis of multichannel and multiday recordings of ongoing human brain dynamics, we demonstrate the potential of the methods to provide novel insights into the intricate spatial-temporal interactions in the human brain underlying different vigilance states.

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Manuel Adams, José M. Amigó, Klaus Lehnertz. 2025-12-09. Transcript-based estimators for characterizing interactions. https://doi.org/10.1063/5.0291595

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