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math.PR2025
Quantitative Limit Theorems for Cox-Poisson and Cox-Binomial Point Processes
Hamza Adrat, Laurent Decreusefond
This paper establishes quantitative limit theorems for two classes of Cox point processes, quantifying their convergence to a Poisson point process (PPP). We employ Stein's method…
math.PR2025
Optimal transport, determinantal point processes and the Bergman kernel
William Driot, Laurent Decreusefond
We study the Bergman determinantal point process from a theoretical point of view motivated by its simulation. We construct restricted and restricted-truncated variants of the Berg…
math.PR2025
Stein's method for max-stable random vectors
Bruno Costacèque, Laurent Decreusefond
Motivated by the omnipresence of extreme value distributions in limit theorems involving extremes of random processes, we adapt Stein's method to include these laws as possible tar…