4 citations · 8 across the 13 of their papers we have counts for
5 papers · 1 filter
Large deviations for the volume of -nearest neighbor balls
Christian Hirsch, Taegyu Kang, Takashi Owada
This paper develops the large deviations theory for the point process associated with the Euclidean volume of -nearest neighbor balls centered around the points of a homogeneous…
Persistent homology based goodness-of-fit tests for spatial tessellations
Christian Hirsch, Johannes Krebs, Claudia Redenbach
Motivated by the rapidly increasing relevance of virtual material design in the domain of materials science, it has become essential to assess whether topological properties of sto…
Sharp phase transition for Cox percolation
Christian Hirsch, Benedikt Jahnel, Stephen Muirhead
We prove the sharpness of the percolation phase transition for a class of Cox percolation models, i.e., models of continuum percolation in a random environment. The key requirement…
Agent-based simulations for coverage extensions in 5G networks and beyond
Chaima Ghribi, Elie Cali, Christian Hirsch +1
Device-to-device (D2D) communications is one of the key emerging technologies for the fifth generation (5G) networks and beyond. It enables direct communication between mobile user…
Topology-based goodness-of-fit tests for sliced spatial data
Alessandra Cipriani, Christian Hirsch, Martina Vittorietti
In materials science and many other application domains, 3D information can often only be extrapolated by taking 2D slices. In topological data analysis, persistence vineyards have…