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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.PR2023
Random clique complex process inside the critical window
Agniva Roy, D Yogeshwaran
We consider the random clique complex process - the process of clique complexes induced by the complete graph with i.i.d. Uniform edge weights. We investigate the evolution of the…