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Updated: Jun 21, 2026

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Spatiotemporal symmetry and multifractal structure of head movements during dyadic conversation
Kathleen T Ashenfelter1, Steven M Boker, Jennifer R Waddell
1U.S. Census Bureau, USA.
Abstract:
This study examined the influence of sex, social dominance, and context on motion-tracked head movements during dyadic conversations. Windowed cross-correlation analyses found high peak correlation between conversants' head movements over short ( approximately 2-s) intervals and a high degree of nonstationarity. Nonstationarity in head movements was found to be positively related to the number of men in a conversation. Surrogate data analysis offsetting the conversants' time series by a large lag was unable to reject the null hypothesis that the observed high peak correlations were unrelated to short-term coordination between conversants. One way that high peak correlations could be observed when 2 time series are offset by a large time lag is for each time series to exhibit self-similarity over a range of scales. Multifractal analysis found small-scale fluctuations to be persistent, tau(q) < 0.5, and large-scale fluctuations to be antipersistent, tau(q) > 0.5. These results are consistent with a view that symmetry is formed between conversants over short intervals and that this symmetry is broken at longer, irregular intervals.
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