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math.PR2019
Lower large deviations for geometric functionals
Christian Hirsch, Benedikt Jahnel, András Tóbiás
This work develops a methodology for analyzing large-deviation lower tails associated with geometric functionals computed on a homogeneous Poisson point process. The technique appl…
math.PR2019
A spatial small-world graph arising from activity-based reinforcement
Markus Heydenreich, Christian Hirsch
In the classical preferential attachment model, links form instantly to newly arriving nodes and do not change over time. We propose a hierarchical random graph model in a spatial…