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math.PR2018
Strong law of large numbers for Betti numbers in the thermodynamic regime
Akshay Goel, Khanh Duy Trinh, Kenkichi Tsunoda
We establish the strong law of large numbers for Betti numbers of random Čech complexes built on -valued binomial point processes and related Poisson point processes i…
math.PR2018
On central limit theorems in stochastic geometry
Khanh Duy Trinh
We establish central limit theorems for general functionals on binomial point processes and their Poissonized version. As an application, a central limit theorem for Betti numbers…