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Mathematics

D-Index
39
Citations
7124
World Ranking
2173
National Ranking
2

Overview

Giovanni Peccati is affiliated with the University of Luxembourg in Luxembourg. Their research primarily focuses on mathematics, with a notable emphasis on applied mathematics, statistics and probability, and mathematical physics. Additional areas of study include finance and geometry and topology.

The scientist's work covers several key topics, including:

  • Stochastic processes and statistical mechanics
  • Point processes and geometric inequalities
  • Random matrices and applications
  • Stochastic processes and financial applications
  • Geometry and complex manifolds
  • Geometric analysis and curvature flows
  • Statistical methods and inference

Peccati has contributed extensively to academic publications, with numerous papers appearing in a variety of scholarly venues. The most frequent publication venues are:

  • arXiv (Cornell University)
  • The Annals of Applied Probability
  • Communications in Mathematical Physics
  • Probability Theory and Related Fields
  • Stochastic Processes and their Applications

Recent papers by Giovanni Peccati include:

  • Quantitative two-scale stabilization on the Poisson space, 2022, The Annals of Applied Probability
  • Small Scale CLTs for the Nodal Length of Monochromatic Waves, 2022, Communications in Mathematical Physics
  • Multivariate Normal Approximation on the Wiener Space: New Bounds in the Convex Distance, 2021, Journal of Theoretical Probability
  • Malliavin-Stein method: a survey of some recent developments, 2021, Modern Stochastics Theory and Applications
  • Infinitesimal invariance of completely Random Measures for 2D Euler Equations, 2022, Theory of Probability and Mathematical Statistics

The scientist has collaborated frequently with several researchers. Notable coauthors include:

  • Ivan Nourdin
  • Xiaochuan Yang
  • Mikołaj J. Kasprzak
  • Francesco Grotto
  • D. Yogeshwaran

Best Publications

  • Normal Approximations with Malliavin Calculus

    Ivan Nourdin;Giovanni Peccati

  • Central limit theorems for sequences of multiple stochastic integrals

    David Nualart;Giovanni Peccati

  • Stein's method on Wiener chaos

    Ivan Nourdin;Giovanni Peccati

  • Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications

    Domenico Marinucci;Giovanni Peccati

  • Wiener chaos: moments, cumulants and diagrams

    Giovanni Peccati;Murad S. Taqqu

  • Gaussian Limits for Vector-valued Multiple Stochastic Integrals

    Giovanni Peccati;Ciprian A. Tudor

  • Wiener Chaos: Moments, Cumulants and Diagrams : A survey with Computer Implementation

    Giovanni Peccati;Murad S Taqqu

  • Stein’s method and Normal approximation of Poisson functionals

    G. Peccati;J. L. Sole;Murad S. Taqqu;F. Utzet

  • Multivariate normal approximation using Stein's method and Malliavin calculus

    Ivan Nourdin;Giovanni Peccati;Anthony Réveillac

  • Random Fields on the Sphere: Index

    Unknown

  • Invariance Principles for Homogeneous Sums: Universality of Gaussian Wiener Chaos

    Ivan Nourdin;Giovanni Peccati;Gesine Reinert

  • Normal approximation on Poisson spaces: Mehler’s formula, second order Poincaré inequalities and stabilization

    Giovanni Peccati;Matthias Schulte

  • Stein's method, logarithmic Sobolev and transport inequalities

    Michel Ledoux;Michel Ledoux;Ivan Nourdin;Giovanni Peccati

  • Stein’s method and exact Berry–Esseen asymptotics for functionals of Gaussian fields

    Ivan Nourdin;Giovanni Peccati

  • Non-Universality of Nodal Length Distribution for Arithmetic Random Waves

    Domenico Marinucci;Giovanni Peccati;Maurizia Rossi;Igor Wigman

  • Noncentral convergence of multiple integrals

    Ivan Nourdin;Giovanni Peccati

  • The optimal fourth moment theorem

    Ivan Nourdin;Giovanni Peccati

  • Cumulants on the Wiener space

    Ivan Nourdin;Giovanni Peccati

  • Wigner chaos and the fourth moment

    Todd Kemp;Ivan Nourdin;Giovanni Peccati;Roland Speicher

  • Second order Poincaré inequalities and CLTs on Wiener space

    Ivan Nourdin;Giovanni Peccati;Gesine Reinert

  • Stein's method meets Malliavin calculus: a short survey with new estimates

    Ivan Nourdin;Giovanni Peccati

Frequent Co-Authors

Ivan Nourdin
Ivan Nourdin University of Luxembourg
Domenico Marinucci
Domenico Marinucci University of Rome Tor Vergata
Murad S. Taqqu
Murad S. Taqqu Boston University
Marc Yor
Marc Yor Sorbonne University
Michel Ledoux
Michel Ledoux Paul Sabatier University
David Nualart
David Nualart University of Kansas
Gesine Reinert
Gesine Reinert University of Oxford
Mark Podolskij
Mark Podolskij University of Luxembourg
Roland Speicher
Roland Speicher Saarland University
Frederi Viens
Frederi Viens Rice University

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