3 papers
math.PR2025
Quantification of limit theorems for Hawkes processes
Laure Coutin, Benjamin Massat, Anthony Réveillac
In this article, we fill a gap in the literature regarding quantitative functional central limit theorems (qfCLT) for Hawkes processes by providing an upper bound for the convergen…
math.AP2025
Weak uniqueness for the PDE governing the joint law of a diffusion and its running supremum
Laure Coutin, Lorick Huang, Monique Pontier
In a previous work [8], it was shown that the joint law of a diffusion process and the running supremum of its first component is absolutely continuous, and that its density satisf…
math.PR2024
Functional approximation of the marked Hawkes risk process
Laure Coutin, Mahmoud Khabou
The marked Hawkes risk process is a compound point process for which the occurrence and amplitude of past events impact the future. Thanks to its autoregressive properties, it foun…