Publications (26)
Convergence towards linear combinations of chi-squared random variables: a Malliavin-based approach
Ehsan Azmoodeh, Giovanni Peccati, Guillaume Poly
Universality of the mean number of real zeros of random trigonometric polynomials under a weak Cramer condition
Jürgen Angst, Guillaume Poly
Almost sure convergence on chaoses
Guillaume Poly, Guangqu Zheng
Universality of the nodal length of bivariate random trigonometric polynomials
Jürgen Angst, Guillaume Poly, Hung Pham Viet
Generalization of the Nualart-Peccati criterion
Ehsan Azmoodeh, Dominique Malicet, Guillaume Mijoule +1
Convergence in total variation on Wiener chaos
Ivan Nourdin, Guillaume Poly
On the real zeros of random trigonometric polynomials with dependent coefficients
Jürgen Angst, Federico Dalmao, Guillaume Poly
Multivariate Gaussian approximations on Markov chaoses
Simon Campese, Ivan Nourdin, Giovanni Peccati +1
Multidimensional limit theorems for homogeneous sums: a general transfer principle
Ivan Nourdin, Giovanni Peccati, Guillaume Poly +1
On the absolute continuity of random nodal volumes
Jürgen Angst, Guillaume Poly
Absolute continuity and convergence of densities for random vectors on Wiener chaos
Ivan Nourdin, David Nualart, Guillaume Poly
Convergence in distribution norms in the CLT for non identical distributed random variables
Vlad Bally, Lucia Caramellino, Guillaume Poly
Convergence in law in the second Wiener/Wigner chaos
Ivan Nourdin, Guillaume Poly
A new approach to the Stein-Tikhomirov method: with applications to the second Wiener chaos and Dickman convergence
Benjamin Arras, Guillaume Mijoule, Guillaume Poly +1
Convergence in law implies convergence in total variation for polynomials in independent Gaussian, Gamma or Beta random variables
Ivan Nourdin, Guillaume Poly
An invariance principle under the total variation distance
Ivan Nourdin, Guillaume Poly
Fourth Moment Theorems for Markov Diffusion Generators
Ehsan Azmoodeh, Simon Campese, Guillaume Poly
Stein's method on the second Wiener chaos : 2-Wasserstein distance
Benjamin Arras, Ehsan Azmoodeh, Guillaume Poly +1
The law of iterated logarithm for subordinated Gaussian sequences: uniform Wasserstein bounds
Ehsan Azmoodeh, Giovanni Peccati, Guillaume Poly
Local universality of the number of zeros of random trigonometric polynomials with continuous coefficients
Jean-Marc Azaïs, Federico Dalmao, José León +2
Regularization along central convergence on second and third Wiener chaoses
Guillaume Poly
Squared chaotic random variables: new moment inequalities with applications
Dominique Malicet, Ivan Nourdin, Giovanni Peccati +1
Non universality for the variance of the number of real roots of random trigonometric polynomials
Vlad Bally, Lucia Caramellino, Guillaume Poly
Stein's method, Malliavin calculus, Dirichlet forms and the fourth moment theorem
Louis H. Y. Chen, Guillaume Poly
Classical and free Fourth Moment Theorems: universality and thresholds
Ivan Nourdin, Giovanni Peccati, Guillaume Poly +1
Two properties of vectors of quadratic forms in Gaussian random variables
Vladimir I. Bogachev, Egor D. Kosov, Ivan Nourdin +1