83 citations
- Université Paris CitéFR31 papers
- Département mathématiques, informatique, sciences de la donnée et technologies du numériqueFR15 papers
- Délégation Paris 5FR9 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- Unité de Mathématiques Pures et AppliquéesFR5 papers
- Laboratoire de Physique Théorique de la Matière CondenséeFR4 papers
- Psychiatric Medicine AssociatesUS3 papers
- Center for MathematicaL studies and their ApplicationsFR2 papers
- CY Cergy Paris UniversitéFR2 papers
- Imaging, Brain, and NeuropsychiatryFR2 papers
- Institut des Matériaux Poreux de ParisFR2 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR2 papers
Showing 2012 · math.PRShow all
3 papers · 2 filters
math.PR2012★ 4 cited
Fine Gaussian fluctuations on the Poisson space II: rescaled kernels, marked processes and geometric U-statistics
Raphael Lachieze-Rey, Giovanni Peccati
Continuing the analysis initiated in Lachiéze-Rey and Peccati (2011), we use contraction operators to study the normal approximation of random variables having the form of a U-stat…
math.PR2012★ 1 cited
Rates of convergence in the strong invariance principle for non adapted sequences. Application to ergodic automorphisms of the torus
J. Dedecker, F. Merlevède, F. Pène
In this paper, we give rates of convergence in the strong invariance principle for non-adapted sequences satisfying projective criteria. The results apply to the iterates of ergodi…
math.PR2012
Marchenko-Pastur Theorem and Bercovici-Pata bijections for heavy-tailed or localized vectors
Florent Benaych-Georges, Thierry Cabanal-Duvillard
The celebrated Marchenko-Pastur theorem gives the asymptotic spectral distribution of sums of random, independent, rank-one projections. Its main hypothesis is that these projectio…