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- Giovanni Peccati

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
5,861
246
World Ranking
2346
National Ranking
2

- Mathematical analysis
- Algebra
- Statistics

His primary scientific interests are in Central limit theorem, Mathematical analysis, Stein's method, Applied mathematics and Probability theory. He interconnects Universality and Gaussian in the investigation of issues within Central limit theorem. Giovanni Peccati mostly deals with Limit in his studies of Mathematical analysis.

Giovanni Peccati combines Stein's method and Pure mathematics in his studies. His Applied mathematics study incorporates themes from Poisson distribution and Fourth power. His study in Probability theory is interdisciplinary in nature, drawing from both Gaussian process, Random variable and Multiple integral.

- Central limit theorems for sequences of multiple stochastic integrals (415 citations)
- Normal Approximations with Malliavin Calculus (385 citations)
- Stein's method on Wiener chaos (342 citations)

His primary areas of investigation include Gaussian, Pure mathematics, Mathematical analysis, Applied mathematics and Central limit theorem. His Gaussian research integrates issues from Random variable, Distribution, Quadratic equation, Universality and Limit. His study looks at the relationship between Random variable and fields such as Combinatorics, as well as how they intersect with chemical problems.

His studies in Mathematical analysis integrate themes in fields like Poisson distribution, Covariance, Random field and Brownian motion. His Applied mathematics research includes elements of Fractional Brownian motion, Logarithm, Stochastic geometry, Gaussian process and Moment. His work in Central limit theorem addresses subjects such as Kernel, which are connected to disciplines such as Random measure.

- Gaussian (31.23%)
- Pure mathematics (28.46%)
- Mathematical analysis (26.09%)

- Gaussian (31.23%)
- Pure mathematics (28.46%)
- Poisson distribution (20.16%)

His main research concerns Gaussian, Pure mathematics, Poisson distribution, Central limit theorem and Random variable. His biological study spans a wide range of topics, including Laplace transform, Complex number, Chaotic, Eigenfunction and Limit. His work in the fields of Poisson random measure overlaps with other areas such as Stein's method.

Giovanni Peccati has researched Central limit theorem in several fields, including Mathematical physics, Lambda, Inequality and Random graph. His Random variable research incorporates themes from Discrete mathematics, Free probability, Combinatorics and Mathematical analysis. His research integrates issues of Covariance and Random field in his study of Mathematical analysis.

- Normal approximation on Poisson spaces: Mehler’s formula, second order Poincaré inequalities and stabilization (57 citations)
- Non-Universality of Nodal Length Distribution for Arithmetic Random Waves (52 citations)
- Nodal Statistics of Planar Random Waves (32 citations)

- Mathematical analysis
- Algebra
- Statistics

Giovanni Peccati focuses on Gaussian, Applied mathematics, Stein's method, Mathematical analysis and Stochastic geometry. The various areas that he examines in his Gaussian study include Laplace transform, Complex number, Chaotic, Universality and Limit. The Universality study which covers Probability theory that intersects with Combinatorics.

Giovanni Peccati interconnects Central limit theorem, Pure mathematics, Poisson kernel and Multiple integral in the investigation of issues within Limit. His work carried out in the field of Pure mathematics brings together such families of science as Zero, Fractional Brownian motion and Sequence. His Applied mathematics research is multidisciplinary, incorporating elements of Dimension, Density estimation, Sobolev space, Rate of convergence and Nonlinear system.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Normal Approximations with Malliavin Calculus

Ivan Nourdin;Giovanni Peccati.

**(2012)**

665 Citations

Central limit theorems for sequences of multiple stochastic integrals

David Nualart;Giovanni Peccati.

Annals of Probability **(2005)**

455 Citations

Stein's method on Wiener chaos

Ivan Nourdin;Giovanni Peccati.

Probability Theory and Related Fields **(2009)**

399 Citations

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

Domenico Marinucci;Giovanni Peccati.

**(2011)**

322 Citations

Wiener chaos: moments, cumulants and diagrams

Giovanni Peccati;Murad S. Taqqu.

**(2011)**

285 Citations

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

Giovanni Peccati;Murad S Taqqu.

**(2011)**

283 Citations

Gaussian Limits for Vector-valued Multiple Stochastic Integrals

Giovanni Peccati;Ciprian A. Tudor.

**(2005)**

282 Citations

Stein’s method and Normal approximation of Poisson functionals

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

Annals of Probability **(2010)**

149 Citations

Multivariate normal approximation using Stein's method and Malliavin calculus

Ivan Nourdin;Giovanni Peccati;Anthony Réveillac.

Annales De L Institut Henri Poincare-probabilites Et Statistiques **(2010)**

140 Citations

Invariance Principles for Homogeneous Sums: Universality of Gaussian Wiener Chaos

Ivan Nourdin;Giovanni Peccati;Gesine Reinert.

Annals of Probability **(2010)**

116 Citations

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