91 citations · 293 across the 21 of their papers we have counts for
26 papers
Universality in Random Persistent Homology and Scale-Invariant Functionals
Omer Bobrowski, Primoz Skraba
In this paper, we prove a universality result for the limiting distribution of persistence diagrams arising from geometric filtrations over random point processes. Specifically, we…
Central Limit Theorems for Local Functionals of Dynamic Point Processes
Efe Onaran, Omer Bobrowski, Robert J. Adler
We establish finite-dimensional central limit theorems for local, additive, interaction functions of temporally evolving point processes. The dynamics are those of a spatial Poisso…
Cluster-Persistence for Weighted Graphs
Omer Bobrowski, Primoz Skraba
Persistent homology is a natural tool for probing the topological characteristics of weighted graphs, essentially focusing on their -dimensional homology. While this area has be…
On the Universality of Random Persistence Diagrams
Omer Bobrowski, Primoz Skraba
One of the most elusive challenges within the area of topological data analysis is understanding the distribution of persistence diagrams. Despite much effort, this is still largel…
Functional Central Limit Theorems for Local Statistics of Spatial Birth-Death Processes in the Thermodynamic Regime
Efe Onaran, Omer Bobrowski, Robert J. Adler
We present normal approximation results at the process level for local functionals defined on dynamic Poisson processes in . The dynamics we study here are those of a…
A Coupled Alpha Complex
Yohai Reani, Omer Bobrowski
The alpha complex is a subset of the Delaunay triangulation and is often used in computational geometry and topology. One of the main drawbacks of using the alpha complex is that i…