4 citations · 7 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
On the splitting principle for cohomological invariants of reflection groups
Stefan Gille, Christian Hirsch
Let be a field and a finite orthogonal reflection group over . We prove Serre's splitting principle for cohomological invariants of with va…
Testing goodness of fit for point processes via topological data analysis
Christophe Ange Napoléon Biscio, Nicolas Chenavier, Christian Hirsch +1
We introduce tests for the goodness of fit of point patterns via methods from topological data analysis. More precisely, the persistent Betti numbers give rise to a bivariate funct…
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…