Euclidean Embedding of the Poisson Weighted Infinite Tree and Application to Mobility Models

R. W. R. Darling; Robin Pemantle

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arXiv · 1805.09443

Euclidean Embedding of the Poisson Weighted Infinite Tree and Application to Mobility Models

R. W. R. Darling·Robin Pemantle

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Abstract

Continuous time branching models are used to create random fractals in a Euclidean space, whose Hausdorff dimension is controlled by an input parameter. Finite realizations are applied in modelling the set of sites visited in models of human and animal mobility.

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R. W. R. Darling, Robin Pemantle. 2018-05-23. Euclidean Embedding of the Poisson Weighted Infinite Tree and Application to Mobility Models. https://arxiv.org/abs/1805.09443

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