References of "Poly, Guillaume Joseph 40080564"
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See detailGeneralization of the Nualart-Peccati criterion
Azmoodeh, Ehsan UL; Malicet, Dominique; Mijoule, Guillaume et al

in Annals of Probability (2015), 44

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See detailFourth Moment Theorems for Markov diffusion generators
Azmoodeh, Ehsan UL; Campese, Simon UL; Poly, Guillaume Joseph UL

in Journal of Functional Analysis (2014), 266(4), 23412359

Inspired by the insightful article [4], we revisit the Nualart–Peccati criterion [13] (now known as the Fourth Moment Theorem) from the point of view of spectral theory of general Markov diffusion ... [more ▼]

Inspired by the insightful article [4], we revisit the Nualart–Peccati criterion [13] (now known as the Fourth Moment Theorem) from the point of view of spectral theory of general Markov diffusion generators. We are not only able to drastically simplify all of its previous proofs, but also to provide new settings of diffusive generators (Laguerre, Jacobi) where such a criterion holds. Convergence towards Gamma and Beta distributions under moment conditions is also discussed. [less ▲]

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See detailAn invariance principle under the total variation distance
Poly, Guillaume Joseph UL; Nourdin, Ivan UL

in Stochastic Processes & Their Applications (2013)

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See detailProperties of convergence in Dirichlet structures
Malicet, Dominique; Poly, Guillaume Joseph UL

in Journal of Functional Analysis (2013)

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See detailAbsolute continuity and convergence of densities for random vectors on Wiener chaos
Nourdin, Ivan UL; Nualart, David; Poly, Guillaume Joseph UL et al

in Electronic Journal of Probability (2013), 18(22), 1--19

Detailed reference viewed: 72 (2 UL)