91 citations · 293 across the 21 of their papers we have counts for
17 papers · 1 filter
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…
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…
Random Simplicial Complexes: Models and Phenomena
Omer Bobrowski, Dmitri Krioukov
We review a collection of models of random simplicial complexes together with some of the most exciting phenomena related to them. We do not attempt to cover all existing models, b…
Poisson process approximation under stabilization and Palm coupling
Omer Bobrowski, Matthias Schulte, D. Yogeshwaran
We present new Poisson process approximation results for stabilizing functionals of Poisson and binomial point processes. These functionals are allowed to have an unbounded range o…
Homological Percolation: The Formation of Giant k-Cycles
Omer Bobrowski, Primoz Skraba
In this paper we introduce and study a higher-dimensional analogue of the giant component in continuum percolation. Using the language of algebraic topology, we define the notion o…