2 papers
math.PR2023
Limit theorems for critical faces above the vanishing threshold
Zifu Wei, Takashi Owada, D. Yogeshwaran
We investigate convergence of point processes associated with critical faces for a Čech filtration built over a homogeneous Poisson point process in the -dimensional flat torus.…
math.PR2021
Functional strong law of large numbers for Betti numbers in the tail
Takashi Owada, Zifu Wei
The objective of this paper is to investigate the layered structure of topological complexity in the tail of a probability distribution. We establish the functional strong law of l…