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Mobile opportunistic networks can realize self-organizing communications for complicated and dynamic scenarios, which makes them expected to support various applications. In this paper, we investigate how far the data can reach within time t (i.e. the dissemination distance), which reveal the tempo-spatial data dissemination properties of mobile opportunistic networks. Our investigations are taken under the Brownian motion model. Because the Brownian motion model can be viewed as a limiting case of the random walk mobility model and the markovian mobility model, our analytical results can be easily extended to these mobility models. In detail, we obtain the upper bound and the lower bound of the distribution of the dissemination distance for the one-copy case and the multiple-copy case, which provide the potential of mobile opportunistic networks to support the services that may involve time and location sensitive data dissemination.
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