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math.PR2023
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…
math.AT2023
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…