Heterogenous Human Dynamics in Intra and Inter-day Time Scale
Peng Wang, Ting Lei, Chi Ho Yeung, Bing-hong Wang

TL;DR
This paper investigates human activity patterns across intra- and inter-day time scales using large datasets, revealing heterogeneous decay exponents and the impact of intra-day activities on perceived memory effects.
Contribution
It introduces a detailed analysis of time-scale heterogeneity in human dynamics and clarifies how intra-day activities influence the measurement of activity memory.
Findings
Power-law decay in interevent times at both individual and population levels.
Heterogeneous decay exponents in intra- and inter-day ranges.
Intra-day activities mask activity memory, leading to underestimation.
Abstract
In this paper, we study two large data sets containing the information of two different human behaviors: blog-posting and wiki-revising. In both cases, the interevent time distributions decay as power-laws at both individual and population level. As different from previous studies, we put emphasis on time scales and obtain heterogeneous decay exponents in intra- and inter-day range for the same dataset. Moreover, we observe opposite trend of exponents in relation to individual . Further investigations show that the presence of intra-day activities mask the correlation between consecutive inter-day activities and lead to an underestimate of , which explain the contradicting results in recent empirical studies. Removal of data in intra-day range reveals the high values of and lead us to convergent results between wiki-revising and blog-posting.
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