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20202024
most citedHigh dimensional regimes of non-stationary Gaussian correlated Wishart matrices

5 citations · 6 across the 5 of their papers we have counts for

collaborators

5 papers

math.PR2024

Non-central limit of densities of some functionals of Gaussian processes

Solesne Bourguin, Thanh Dang, Yaozhong Hu

We establish the convergence of the densities of a sequence of nonlinear functionals of an underlying Gaussian process to the density of a Gamma distribution. The key idea of our w…

physics.flu-dyn2022

Instability of an active fluid jet

Takuji Ishikawa, Thanh-Nghi Dang, Eric Lauga

The breakup of a fluid jet into droplets has long fascinated natural scientists, with early research dating back to the 19th century. Infinitesimal perturbations to a jet grow beca…

math.PR2022

Moderate deviation principle for multiscale systems driven by fractional Brownian motion

Solesne Bourguin, Thanh Dang, Konstantinos Spiliopoulos

In this paper we study the moderate deviations principle (MDP) for slow-fast stochastic dynamical systems where the slow motion is governed by small fractional Brownian motion (fBm…

math.PR2021★ 1 cited

Functional Gaussian approximations on Hilbert-Poisson spaces

Solesne Bourguin, Simon Campese, Thanh Dang

We develop a functional Stein-Malliavin method in a non-diffusive Poissonian setting, thus obtaining a) quantitative central limit theorems for approximation of arbitrary non-degen…

math.PR2020★ 5 cited

High dimensional regimes of non-stationary Gaussian correlated Wishart matrices

Solesne Bourguin, Thanh Dang

We study the high-dimensional asymptotic regimes of correlated Wishart matrices , where is a Gaussian random matrix with c…