Multi-Dimensional Gaussian Fluctuations on the Poisson Space

JOURNAL ARTICLE published 1 January 2010 in Electronic Journal of Probability

Authors: Peccati Giovanni | Cengbo Zheng

Fine Gaussian fluctuations on the Poisson space, I: contractions, cumulants and geometric random graphs

JOURNAL ARTICLE published 1 January 2013 in Electronic Journal of Probability

Authors: Raphael Lachieze-Rey | Giovanni Peccati

Universal Gaussian fluctuations on the discrete Poisson chaos

JOURNAL ARTICLE published 1 May 2014 in Bernoulli

Authors: Giovanni Peccati | Cengbo Zheng

Portmanteau inequalities on the Poisson space: mixed regimes and multidimensional clustering

JOURNAL ARTICLE published 1 January 2014 in Electronic Journal of Probability

Authors: Solesne Bourguin | Giovanni Peccati

Fourth moment theorems on the Poisson space: analytic statements via product formulae

JOURNAL ARTICLE published 1 January 2018 in Electronic Communications in Probability

Authors: Christian Döbler | Giovanni Peccati

Gaussian Approximations of Multiple Integrals

JOURNAL ARTICLE published 1 January 2007 in Electronic Communications in Probability

Authors: Giovanni Peccati

The fourth moment theorem on the Poisson space

JOURNAL ARTICLE published 1 July 2018 in The Annals of Probability

Authors: Christian Döbler | Giovanni Peccati

Concentration bounds for geometric Poisson functionals: Logarithmic Sobolev inequalities revisited

JOURNAL ARTICLE published 1 January 2016 in Electronic Journal of Probability

Authors: Sascha Bachmann | Giovanni Peccati

Multivariate Gaussian approximations on Markov chaoses

JOURNAL ARTICLE published 1 January 2016 in Electronic Communications in Probability

Authors: Simon Campese | Ivan Nourdin | Giovanni Peccati | Guillaume Poly

Stein's Method and Stochastic Analysis of Rademacher Functionals

JOURNAL ARTICLE published 1 January 2010 in Electronic Journal of Probability

Authors: Gesine Reinert | Ivan Nourdin | Giovanni Peccati

Quantitative two-scale stabilization on the Poisson space

JOURNAL ARTICLE published 1 August 2022 in The Annals of Applied Probability

Authors: Raphaël Lachièze-Rey | Giovanni Peccati | Xiaochuan Yang

Poisson-Dirichlet Statistics for the extremes of the two-dimensional discrete Gaussian free field

JOURNAL ARTICLE published 1 January 2015 in Electronic Journal of Probability

Authors: Louis-Pierre Arguin | Olivier Zindy

Stein’s method and Normal approximation of Poisson functionals

JOURNAL ARTICLE published 1 March 2010 in The Annals of Probability

Authors: G. Peccati | J. L. Solé | M. S. Taqqu | F. Utzet

Invariance principles for homogeneous sums: Universality of Gaussian Wiener chaos

JOURNAL ARTICLE published 1 September 2010 in The Annals of Probability

Authors: Ivan Nourdin | Giovanni Peccati | Gesine Reinert

Poisson approximations on the free Wigner chaos

JOURNAL ARTICLE published 1 July 2013 in The Annals of Probability

Authors: Ivan Nourdin | Giovanni Peccati

Fourth moment theorems on the Poisson space in any dimension

JOURNAL ARTICLE published 1 January 2018 in Electronic Journal of Probability

Authors: Christian Döbler | Anna Vidotto | Guangqu Zheng

Gaussian Fluctuations in Complex Sample Covariance Matrices

JOURNAL ARTICLE published 1 January 2006 in Electronic Journal of Probability

Authors: Zhonggen Su

Fine Gaussian fluctuations on the Poisson space II: Rescaled kernels, marked processes and geometricU-statistics

JOURNAL ARTICLE published December 2013 in Stochastic Processes and their Applications

Authors: Raphaël Lachièze-Rey | Giovanni Peccati

Gaussian fluctuations of the determinant of Wigner matrices

JOURNAL ARTICLE published 1 January 2019 in Electronic Journal of Probability

Authors: Paul Bourgade | Krishnan Mody

Gaussian fluctuations of replica overlap in directed polymers

JOURNAL ARTICLE published 1 January 2022 in Electronic Communications in Probability

Authors: Yu Gu | Tomasz Komorowski