3 papers
math.PR2025
A general decoupling inequality for finite Gaussian vectors
Michel Weber
We use Matrix Analysis to prove a general decoupling inequality for finite Gaussian vectors, in identifying a new region of the inherent exponent, for the validity of this one.
math.PR2025
Moderate deviations of suprema of Gaussian processes A cyclic approximation criterion
Michel Weber
We study moderate deviations of suprema of parametrized sequences of sample bounded Gaussian processes , and first present recent sharp bounds in simple cas…
math.PR2023
Divisibility and primality in random walks
Michel J. G. Weber
In this paper we study the divisibility and primality properties of the Bernoulli random walk. We improve or extend some of our divisibility results to wide classes of iid or indep…