18 citations · 18 across the 2 of their papers we have counts for
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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.PR2019
Approximation of Hilbert-valued Gaussians on Dirichlet structures
Solesne Bourguin, Simon Campese
We introduce a framework to derive quantitative central limit theorems in the context of non-linear approximation of Gaussian random variables taking values in a separable Hilbert…