Proves that transformed paths of heavy-tailed extremal processes and random walks in growing dimensions converge in distribution to Poisson cluster processes, implying Gromov-Hausdorff convergence of the paths as metric spaces and convergence in counting measure spaces.
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Ranges of Extremal Processes and Heavy-Tailed Random Walks in Spaces of Growing Dimension
Proves that transformed paths of heavy-tailed extremal processes and random walks in growing dimensions converge in distribution to Poisson cluster processes, implying Gromov-Hausdorff convergence of the paths as metric spaces and convergence in counting measure spaces.