The number of distinct locations S(t ) visited by a randomly moving object is expected to follow <math>S(t) \sim t^\mu</math>.

参见OWS tweets

1. Larralde, H., Trunfio, P., Havlin, S., Stanley, H. E. & Weiss, G. H. Territory covered by N diffusing particles. Nature 355, 423–426 (1992).
2. Larralde, H., Trunfio, P., Havlin, S., Stanley, H. E. & Weiss, G. H. Number of distinct sites visited by N random walkers. Phys. Rev. A 45, 7128–7138 (1992).
3. Yuste, S. B., Klafter, J. & Lindenberg, K. Number of distinct sites visited by a subdiffusive random walker. Phys. Rev. E 77, 032101 (2008).

Song 2010 Modelling the scaling properties of human mobility nphys1760^[1]

Lai and Huang 2014 Scaling and correlation of human movements in cyberspace and physical spacePhysRevE.90.050802^[2]

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• Song 2010 Modelling the scaling properties of human mobility nphys1760
• Lai and Huang 2014 Scaling and correlation of human movements in cyberspace and physical spacePhysRevE.90.050802