3 papers
math.PR2025
Strong Convergence of Multiplicative Brownian Motions on the General Linear Group
Marwa Banna, Mireille Capitaine, Guillaume Cébron
We consider the family of multiplicative Brownian motions on the general linear group introduced by Driver-Hall-Kemp. They are parametrized by the real variance $λ\in \ma…
math.PR2025
Central limit theorem for -independent products and higher-order tensors
Guillaume Cébron, Patrick Oliveira Santos, Pierre Youssef
We establish a central limit theorem (CLT) for families of products of -independent random variables. We utilize graphon limits to encode the evolution of independence and chara…
math.PR2024
Graphon-Theoretic Approach to Central Limit Theorems for -Independence
Guillaume Cébron, Patrick Oliveira Santos, Pierre Youssef
We establish a central limit theorem for the sum of -independent random variables, extending both the classical and free probability setting. Central to our approach is the use…