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Title Modelling Super-Diffusion In Urban Human Mobility: A Quantum Walk Approach
ID_Doc 37705
Authors Tan L.; Yuan L.; Liu Z.; Zhong T.; Ye X.; Yu Z.
Year 2025
Published Cities, 163
DOI http://dx.doi.org/10.1016/j.cities.2025.106000
Abstract Super-diffusion in urban human mobility refers to the faster-than-linear increase in the mean squared displacement (MSD) of the mobility collective over time. Accurate modeling of super-diffusion in urban human mobility is a key focus in various research fields and industries. However, there are few urban human mobility models that can capture super-diffusion. To address this gap, this paper proposes a quantum walk-based urban human mobility model (UHM-QW). In quantum walks, the spread of a walker exhibits super-diffusion properties. UHM-QW generates mobility patterns with varying diffusion rates by quantum walks and models the collective super-diffusion as a weighted combination of important mobility patterns. Experiments show that UHM-QW can accurately reproduce the super-diffusion process and its temporal fluctuation characteristics. Compared to the reference models (Random Walk, SeqGAN, LSTM-TrajGAN), UHM-QW achieves greater fit accuracy (R2), better retains temporal structure (NDTW-t), and captures fluctuation details (NDTW-r). Analysis of important mobility patterns reveals that faster-diffusing collectives are driven by faster diffusion-rate patterns, while those with greater variability arise from patterns with substantial differences in diffusion-rates. Additionally, a single dominant mobility pattern effectively reproduces the super-diffusion process, reducing the model's complexity and enhancing its interpretability. In conclusion, this paper reveals the correspondence between quantum walk dynamics and human mobility patterns, providing a new perspective for mining human mobility laws in cities. © 2025 Elsevier Ltd
Author Keywords Diffusion process; Human mobility; Quantum walk; Smart city; Super-diffusion


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