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math.PR2015
Maximally Persistent Cycles in Random Geometric Complexes
Omer Bobrowski, Matthew Kahle, Primoz Skraba
We initiate the study of persistent homology of random geometric simplicial complexes. Our main interest is in maximally persistent cycles of degree- in persistent homology, for…
math.PR2015★ 1 cited
On the Vanishing of Homology in Random Čech Complexes
Omer Bobrowski, Shmuel Weinberger
We compute the homology of random Čech complexes over a homogeneous Poisson process on the d-dimensional torus, and show that there are, coarsely, two phase transitions. The first…