S. Bourguin

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20162020

most citedLimiting behavior of large correlated Wishart matrices with chaotic entries

18 citations · 18 across the 1 of their papers we have counts for

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math.PR2020★ 18 cited

Limiting behavior of large correlated Wishart matrices with chaotic entries

Solesne Bourguin, Charles-Philippe Diez, Ciprian A. Tudor

We study the fluctuations, as $d, n \to \infty$ , of the Wishart matrix $W_{n, d} = \frac{1}{d} X_{n, d} X_{n, d}^{T}$ associated to a $n \times d$ random ma…

math.PR2019

Typical dynamics and fluctuation analysis of slow-fast systems driven by fractional Brownian motion

Solesne Bourguin, Siragan Gailus, Konstantinos Spiliopoulos

This article studies typical dynamics and fluctuations for a slow-fast dynamical system perturbed by a small fractional Brownian noise. Based on an ergodic theorem with explicit ra…

math.PR2016

On normal approximations for the two-sample problem on multidimensional tori

Solesne Bourguin, Claudio Durastanti

In this paper, quantitative central limit theorems for $U$ -statistics on the $q$ -dimensional torus defined in the framework of the two-sample problem for Poisson processes are deri…