Profil

PECCATI Giovanni

University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

Main Referenced Co-authors
NOURDIN, Ivan  (45)
Marinucci, Domenico (9)
DÖBLER, Christian  (7)
Poly, Guillaume (6)
Nualart, David (5)
Main Referenced Keywords
Central limit theorems (1); convex relaxation (1); Functional convergence (1); Gaussian fields (1); Mathematical Physics (1);
Main Referenced Disciplines
Mathematics (116)
Physics (1)

Publications (total 118)

The most downloaded
539 downloads
Nourdin, I., Nualart, D., & Peccati, G. (2016). Quantitative stable limit theorems on the Wiener space. Annals of Probability, 44 (1), 1-41. doi:10.1214/14-AOP965 https://hdl.handle.net/10993/13954

The most cited

287 citations (Scopus®)

Nualart, D., & Peccati, G. (2005). Central limit theorems for sequences of multiple stochastic integrals. Annals of Probability, 33 (1), 177--193. doi:10.1214/009117904000000621 https://hdl.handle.net/10993/13546

Kasprzak, M., & Peccati, G. (October 2023). Vector-valued statistics of binomial processes: Berry-Esseen bounds in the convex distance. Annals of Applied Probability, 33 (5), 3449-3492. doi:10.1214/22-AAP1897
Peer reviewed

Notarnicola, M., PECCATI, G., & Vidotto, A. (May 2023). Functional Convergence of Berry’s Nodal Lengths: Approximate Tightness and Total Disorder. Journal of Statistical Physics, 190 (5). doi:10.1007/s10955-023-03111-9
Peer Reviewed verified by ORBi

Last, G., Peccati, G., & Yogeshwaran, D. (2023). Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees. Random Structures and Algorithms, 63 (2), 457-511. doi:10.1002/rsa.21136
Peer Reviewed verified by ORBi

Jaramillo, A., Nourdin, I., Nualart, D., & Peccati, G. (2023). Limit theorems for additive functionals of the fractional Brownian motion. Annals of Probability, 51 (3), 1066-1111. doi:10.1214/22-AOP1612
Peer Reviewed verified by ORBi

Peccati, G., & Turchi, N. (2023). The discrepancy between min-max statistics of Gaussian and Gaussian-subordinated matrices. Stochastic Processes and Their Applications, 158, 315-341. doi:10.1016/j.spa.2023.01.006
Peer Reviewed verified by ORBi

Dierickx, G., Nourdin, I., Peccati, G., & Rossi, M. (2023). Small Scale CLTs for the Nodal Length of Monochromatic Waves. Communications in Mathematical Physics, 397 (1), 1-36. doi:10.1007/s00220-022-04422-w
Peer Reviewed verified by ORBi

Döbler, C., Kasprzak, M., & Peccati, G. (February 2022). Functional Convergence of U-processes with Size-Dependent Kernels. Annals of Applied Probability, 32 (1), 551-601. doi:10.1214/21-AAP1688
Peer Reviewed verified by ORBi

Döbler, C., Kasprzak, M., & Peccati, G. (2022). The multivariate functional de Jong CLT. Probability Theory and Related Fields, 184 (1), 367-399. doi:10.1007/s00440-022-01114-3
Peer Reviewed verified by ORBi

Nourdin, I., Peccati, G., & Yang, X. (2022). Multivariate normal approximation on the Wiener space: new bounds in the convex distance. Journal of Theoretical Probability. doi:10.1007/s10959-021-01112-6
Peer Reviewed verified by ORBi

Lachièze-Rey, R., Peccati, G., & Yang, X. (2022). Quantitative two-scale stabilization on the Poisson space. Annals of Applied Probability. doi:10.1214/21-AAP1768
Peer Reviewed verified by ORBi

Camia, F., Gandolfi, A., Peccati, G., & Reddy, T. (2021). Brownian Loops, Layering Fields and Imaginary Gaussian Multiplicative Chaos. Communications in Mathematical Physics, 381 (3), 889-945. doi:10.1007/s00220-020-03932-9
Peer Reviewed verified by ORBi

Jaramillo Gil, A., Nourdin, I., & Peccati, G. (2021). Approximation of Fractional Local Times: Zero Energy and Derivatives. Annals of Applied Probability, In press.
Peer Reviewed verified by ORBi

Nourdin, I., Nualart, D., & Peccati, G. (2021). The Breuer-Major Theorem in total variation: improved rates under minimal regularity. Stochastic Processes and Their Applications, 131, 1-20. doi:10.1016/j.spa.2020.08.007
Peer Reviewed verified by ORBi

Azmoodeh, E., Peccati, G., & Yang, X. (2021). Malliavin-Stein method: a survey of some recent developments. Modern Stochastics: Theory and Applications, 8 (2), 141-177.
Peer Reviewed verified by ORBi

Herry, R., Gozlan, N., & Peccati, G. (2021). Transport inequalities for random point measures. Journal of Functional Analysis, 281 (9). doi:10.1016/j.jfa.2021.109141
Peer Reviewed verified by ORBi

Baraud, Y., Nourdin, I., & Peccati, G. (2020). Estimating the number of infected persons. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/43287.

Nourdin, I., Peccati, G., & Yang, X. (2020). Restricted hypercontractivity on the Poisson space. Proceedings of the American Mathematical Society, 148, 3617-3632. doi:10.1090/proc/14964
Peer Reviewed verified by ORBi

Peccati, G., & Vidotto, A. (2020). Gaussian Random Measures Generated by Berry's Nodal Sets. Journal of Statistical Physics, 178 (4), 996-1027. doi:10.1007/s10955-019-02477-z
Peer Reviewed verified by ORBi

Nourdin, I., Peccati, G., & Seuret, S. (2020). Sojourn time dimensions of fractional Brownian motion. Bernoulli, 26 (3), 1619-1634. doi:10.3150/19-BEJ1105
Peer reviewed

Döbler, C., & Peccati, G. (February 2019). Quantitative limit theorems for symmetric U-statistics using contractions. Electronic Journal of Probability, 24, 5. doi:10.1214/19-EJP264
Peer Reviewed verified by ORBi

Dalmao, F., Nourdin, I., Peccati, G., & Rossi, M. (2019). Phase singularities in complex arithmetic random waves. Electronic Journal of Probability, 24 (71), 1-45. doi:10.1214/19-EJP321
Peer Reviewed verified by ORBi

Nourdin, I., Peccati, G., & Rossi, M. (2019). Nodal Statistics of Planar Random Waves. Communications in Mathematical Physics, 369 (1), 99-151. doi:10.1007/s00220-019-03432-5
Peer Reviewed verified by ORBi

Döbler, C., & Peccati, G. (2019). Quantitative CLTs for symmetric U-statistics using contractions. Electronic Journal of Probability, 24. doi:10.1214/19-EJP264
Peer Reviewed verified by ORBi

Nourdin, I., Peccati, G., & Yang, X. (2019). Berry-Esseen bounds in the Breuer-Major CLT and Gebelein's inequality. Electronic Communications in Probability, 24 (34), 1-12. doi:10.1214/19-ECP241
Peer Reviewed verified by ORBi

Döbler, C., & Peccati, G. (2018). Fourth moment theorems on the Poisson space: analytic statements via product formulae. Electronic Communications in Probability, 23. doi:10.1214/18-ECP196
Peer Reviewed verified by ORBi

Peccati, G., & Rossi, M. (2018). Quantitative limit theorems for local functionals of arithmetic random waves. In E. Celledoni, Computation and combinatorics in dynamics, stochastics and control (pp. 659-689).
Peer reviewed

Döbler, C., & Peccati, G. (2018). The fourth moment theorem on the Poisson space. Annals of Probability, 46 (4), 1878–1916. doi:10.1214/17-AOP1215
Peer Reviewed verified by ORBi

Döbler, C., & Peccati, G. (2018). The Gamma Stein equation and non-central de Jong theorems. Bernoulli, 24 (4B), 3384–3421. doi:10.3150/17-BEJ963
Peer reviewed

Lotz, M., McCoy, M. B., Nourdin, I., Peccati, G., & Tropp, J. A. (2018). Concentration of the Intrinsic Volumes of a Convex Body. In Geometric Aspects of Functional Analysis – Israel Seminar (GAFA) 2017-2019. Springer.
Peer reviewed

Goldstein, L., Nourdin, I., & Peccati, G. (2017). Gaussian Phase Transitions and Conic Intrinsic Volumes: Steining the Steiner Formula. Annals of Applied Probability, 27 (1), 1-47. doi:10.1214/16-AAP1195
Peer Reviewed verified by ORBi

Ledoux, M., Nourdin, I., & Peccati, G. (2017). A Stein deficit for the logarithmic Sobolev inequality. Science China Mathematics, 60, 1163-1180. doi:10.1007/s11425-016-0134-7
Peer Reviewed verified by ORBi

Peccati, G., & Lachièze-Rey, R. (2017). New Kolmogorov bounds for functionals of binomial point processes. Annals of Applied Probability, 27 (4), 1992-20131. doi:10.1214/16-AAP1218
Peer Reviewed verified by ORBi

Döbler, C., & Peccati, G. (2017). Quantitative de Jong theorems in any dimension. Electronic Journal of Probability, 22. doi:10.1214/16-EJP19
Peer Reviewed verified by ORBi

Nourdin, I., Peccati, G., Poly, G., & Simone, R. (June 2016). Classical and free fourth moment theorems: universality and thresholds. Journal of Theoretical Probability, 29 (2), 653-680. doi:10.1007/s10959-014-0590-8
Peer Reviewed verified by ORBi

Malicet, D., Nourdin, I., Peccati, G., & Poly, G. (2016). Squared chaotic random variables: new moment inequalities with applications. Journal of Functional Analysis, 270 (2), 649-670. doi:10.1016/j.jfa.2015.10.013
Peer Reviewed verified by ORBi

Azmoodeh, E., Peccati, G., & Poly, G. (2016). The law of iterated logarithm for subordinated Gaussian sequences: uniform Wasserstein bounds. ALEA: Latin American Journal of Probability and Mathematical Statistics, 13, 659-686.
Peer Reviewed verified by ORBi

Campese, S., Nourdin, I., Peccati, G., & Poly, G. (2016). Multivariate Gaussian approxi- mations on Markov chaoses. Electronic Communications in Probability, 21, 48. doi:10.1214/16-ECP4615
Peer Reviewed verified by ORBi

Nourdin, I., Nualart, D., & Peccati, G. (2016). Strong asymptotic independence on Wiener chaos. Proceedings of the American Mathematical Society, 144 (2), 875-886. doi:10.1090/proc12769
Peer Reviewed verified by ORBi

Peccati, G., & Reitzner, M. (Eds.). (2016). Stochastic analysis for Poisson point processes: Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry. Springer.

Nourdin, I., Nualart, D., & Peccati, G. (2016). Quantitative stable limit theorems on the Wiener space. Annals of Probability, 44 (1), 1-41. doi:10.1214/14-AOP965
Peer Reviewed verified by ORBi

Bourguin, S., Durastanti, C., Marinucci, D., & Peccati, G. (2016). Gaussian approximations of nonlinear statistis on the sphere. Journal of Mathematical Analysis and Applications, 436 (2), 1121-1148.
Peer Reviewed verified by ORBi

Peccati, G., & Bachmann, S. (2016). Concentration bounds for geometric Poisson functionals: logarithmic Sobolev inequalities revisited. Electronic Journal of Probability, 6 (44). doi:10.1214/16-EJP4235
Peer Reviewed verified by ORBi

Nourdin, I., Peccati, G., Poly, G., & Simone, R. (2016). Multidimensional limit theorems for homogeneous sums : a general transfer principle. ESAIM: Probability and Statistics, 20, 293-308. doi:10.1051/ps/2016014
Peer Reviewed verified by ORBi

Last, G., Peccati, G., & Schulte, M. (2016). Normal approximation on Poisson spaces: Mehler's formula, second order Poincaré inequalities and stabilization. Probability Theory and Related Fields, 165 (3), 667-723. doi:10.1007/s00440-015-0643-7
Peer Reviewed verified by ORBi

Marinucci, D., Peccati, G., Rossi, M., & Wigman, I. (2016). Non-universality of nodal length distribution for arithmetic random waves. Geometric and Functional Analysis, 26 (3), 926-960. doi:10.1007/s00039-016-0376-5
Peer Reviewed verified by ORBi

Ledoux, M., Nourdin, I., & Peccati, G. (February 2015). Stein's method, logarithmic Sobolev and transport inequalities. Geometric and Functional Analysis, 25, 256-306. doi:10.1007/s00039-015-0312-0
Peer Reviewed verified by ORBi

Peccati, G., & Azmoodeh, E. (2015). Optimal Berry-Esseen bounds on the Poisson space. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/24029.

Nourdin, I., & Peccati, G. (2015). The optimal fourth moment theorem. Proceedings of the American Mathematical Society, 143 (7), 3123-3133. doi:10.1090/S0002-9939-2015-12417-3
Peer reviewed

Azmoodeh, E., Peccati, G., & Poly, G. (2015). Convergence towards linear combinations of chi-squared random variables: a Malliavin-based approach. Séminaire de Probabilités, 339-367. doi:10.1007/978-3-319-18585-9_16
Peer reviewed

Nourdin, I., Peccati, G., & Swan, Y. (2014). Entropy and the fourth moment phenomenon. Journal of Functional Analysis, 266 (5), 3170-3207. doi:10.1016/j.jfa.2013.09.017
Peer reviewed

Peccati, G., & Zheng, C. (2014). Universal Gaussian fluctuations on the discrete Poisson chaos. Bernoulli, 20 (2), 697-715. doi:10.3150/12-BEJ503
Peer reviewed

Peccati, G. (2014). Quantitative CLTs on a Gaussian space: a survey of recent developments. ESAIM: Proceedings and Surveys, 44, 61-78.
Peer Reviewed verified by ORBi

Nourdin, I., Peccati, G., & Swan, Y. (2014). Integration by parts and representation of information functionals. Abstract book of 2014 IEEE International Symposium on Information Theory (ISIT), 2217-2221.
Peer reviewed

Borguin, S., & Peccati, G. (2014). Portmanteau inequalities on the Poisson space: mixed regimes and multidimensional clustering. Electronic Journal of Probability, 19 (Paper 66).
Peer Reviewed verified by ORBi

Bourguin, S., & Peccati, G. (2014). Semicircular limits on the free Poisson chaos: counterexamples to a transfer principle. Journal of Functional Analysis, 267 (4). doi:10.1016/j.jfa.2014.05.015
Peer Reviewed verified by ORBi

El-Dakkak, O., Peccati, G., & Prünster, I. (2014). Exchangeable Hoeffding decompositions over finite sets: a characterization and counterexamples. Journal of Multivariate Analysis, 131, 51-64. doi:10.1016/j.jmva.2014.04.012
Peer Reviewed verified by ORBi

Durastanti, C., Marinucci, D., & Peccati, G. (2014). Normal approximations for wavelet coefficients on spherical Poisson fields. Journal of Mathematical Analysis and Applications, 409 (1), 212--227. doi:10.1016/j.jmaa.2013.06.028
Peer reviewed

Nourdin, I., Peccati, G., & Viens, F. (2014). Comparison inequalities on the Wiener space. Stochastic Processes and Their Applications, 124 (4), 1566-1581. doi:10.1016/j.spa.2013.12.001
Peer reviewed

Nourdin, I., & Peccati, G. (2013). Poisson approximations on the free Wigner chaos. Annals of Probability, 41 (4), 2709--2723. doi:10.1214/12-AOP815
Peer reviewed

Nourdin, I., Peccati, G., & Speicher, R. (2013). Multidimensional semicircular limits on the free Wigner chaos. In The Ascona Proceedings, 2011. Birkhäuser.
Peer reviewed

Lachièze-Rey, R., & Peccati, G. (2013). Fine Gaussian fluctuations on the Poisson space, I: contractions, cumulants and geometric random graphs. Electronic Journal of Probability, 18, 32, 32. doi:10.1214/EJP.v18-2104
Peer Reviewed verified by ORBi

Marinucci, D., & Peccati, G. (2013). Mean-square continuity on homogeneous spaces of compact groups. Electronic Communications in Probability, 18, 37, 10. doi:10.1214/ECP.v18-2400
Peer Reviewed verified by ORBi

Peccati, G., & Thäle, C. (2013). Gamma limits and $U$-statistics on the Poisson space. Latin American Journal of Probability and Mathematical Statistics, 10 (1), 525--560.
Peer reviewed

Lachièze-Rey, R., & Peccati, G. (2013). Fine Gaussian fluctuations on the Poisson space II: Rescaled kernels, marked processes and geometric $U$-statistics. Stochastic Processes and Their Applications, 123 (12), 4186--4218. doi:10.1016/j.spa.2013.06.004
Peer reviewed

Kemp, T., Nourdin, I., Peccati, G., & Speicher, R. (2012). Wigner chaos and the fourth moment. Annals of Probability, 40 (4), 1577--1635. doi:10.1214/11-AOP657
Peer reviewed

Biermé, H., Bonami, A., Nourdin, I., & Peccati, G. (2012). Optimal Berry-Esseen rates on the Wiener space: the barrier of third and fourth cumulants. Latin American Journal of Probability and Mathematical Statistics, 9 (2), 473--500.
Peer reviewed

Nourdin, I., & Peccati, G. (2012). Normal approximations with Malliavin calculus. Cambridge, Unknown/unspecified: Cambridge University Press. doi:10.1017/CBO9781139084659

Peccati, G., & Taqqu, M. S. (2011). Wiener chaos: moments, cumulants and diagrams. Milan, Unknown/unspecified: Springer. doi:10.1007/978-88-470-1679-8

Marinucci, D., & Peccati, G. (2011). Random fields on the sphere. Cambridge, Unknown/unspecified: Cambridge University Press. doi:10.1017/CBO9780511751677

Peccati, G. (2011). The Chen-Stein method for Poisson functionals. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/13952.

Peccati, G., & Pycke, J.-R. (2011). Hoeffding spaces and Specht modules. ESAIM: Probability and Statistics, 15 (In honor of Marc Yor, suppl.), 58--S68. doi:10.1051/ps/2010022
Peer reviewed

Nourdin, I., Peccati, G., & Podolskij, M. (2011). Quantitative Breuer-Major theorems. Stochastic Processes and Their Applications, 121 (4), 793--812. doi:10.1016/j.spa.2010.12.006
Peer reviewed

Marinucci, D., & Peccati, G. (2010). Group representations and high-resolution central limit theorems for subordinated spherical random fields. Bernoulli, 16 (3), 798--824. doi:10.3150/09-BEJ230
Peer reviewed

Nourdin, I., Peccati, G., & Reinert, G. (2010). Invariance principles for homogeneous sums: universality of Gaussian Wiener chaos. Annals of Probability, 38 (5), 1947--1985. doi:10.1214/10-AOP531
Peer reviewed

Nourdin, I., & Peccati, G. (2010). Stein's method meets Malliavin calculus: a short survey with new estimates. In Recent development in stochastic dynamics and stochastic analysis (pp. 207--236). World Sci. Publ., Hackensack, NJ. doi:10.1142/9789814277266_0014
Peer reviewed

Nourdin, I., & Peccati, G. (2010). Universal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs. Latin American Journal of Probability and Mathematical Statistics, 7, 341--375.
Peer reviewed

Nourdin, I., Peccati, G., & Anthony, R. (2010). Multivariate normal approximation using Stein's method and Malliavin calculus. Annales de l'Institut Henri Poincare (B) Probability & Statistics, 46 (1), 45--58. doi:10.1214/08-AIHP308
Peer reviewed

Nourdin, I., & Peccati, G. (2010). Cumulants on the Wiener space. Journal of Functional Analysis, 258 (11), 3775--3791. doi:10.1016/j.jfa.2009.10.024
Peer reviewed

Peccati, G., & Zheng, C. (2010). Multi-dimensional Gaussian fluctuations on the Poisson space. Electronic Journal of Probability, 15, 48, 1487--1527. doi:10.1214/EJP.v15-813
Peer Reviewed verified by ORBi

Marinucci, D., & Peccati, G. (2010). Ergodicity and Gaussianity for spherical random fields. Journal of Mathematical Physics, 51 (4), 043301, 23. doi:10.1063/1.3329423
Peer reviewed

Peccati, G., Solé, J. L., Taqqu, M. S., & F., U. (2010). Stein's method and normal approximation of Poisson functionals. Annals of Probability, 38 (2), 443--478. doi:10.1214/09-AOP477
Peer reviewed

Marinucci, D., & Peccati, G. (2010). Representations of SO(3) and angular polyspectra. Journal of Multivariate Analysis, 101 (1), 77--100. doi:10.1016/j.jmva.2009.04.017
Peer reviewed

Nourdin, I., Peccati, G., & Reinert, G. (2010). Stein's method and stochastic analysis of Rademacher functionals. Electronic Journal of Probability, 15, 55, 1703--1742. doi:10.1214/EJP.V15-823
Peer Reviewed verified by ORBi

Nourdin, I., & Peccati, G. (2009). Stein's method on Wiener chaos. Probab. Theory Related Fields, 145 (1-2), 75--118. doi:10.1007/s00440-008-0162-x
Peer reviewed

Nourdin, I., & Peccati, G. (2009). Stein's method and exact Berry-Esseen asymptotics for functionals of Gaussian fields. Annals of Probability, 37 (6), 2231--2261. doi:10.1214/09-AOP461
Peer reviewed

Nourdin, I., Peccati, G., & Reinert, G. (2009). Second order Poincaré inequalities and CLTs on Wiener space. Journal of Functional Analysis, 257 (2), 593--609. doi:10.1016/j.jfa.2008.12.017
Peer reviewed

Nourdin, I., & Peccati, G. (2009). Noncentral convergence of multiple integrals. Annals of Probability, 37 (4), 1412--1426. doi:10.1214/08-AOP435
Peer reviewed

Breton, J.-C., Nourdin, I., & Peccati, G. (2009). Exact confidence intervals for the Hurst parameter of a fractional Brownian motion. Electronic Journal of Statistics, 3, 416--425. doi:10.1214/09-EJS366
Peer Reviewed verified by ORBi

De Blasi, P., Peccati, G., & Igor, P. (2009). Asymptotics for posterior hazards. Annals of Statistics, 37 (4), 1906--1945. doi:10.1214/08-AOS631
Peer reviewed

Peccati, G., & Pycke, J.-R. (2009). Decompositions of stochastic processes based on irreducible group representations. Theory of Probability & Its Applications, 54 (2), 304--336. doi:10.1137/S0040585X97984164
Peer reviewed

Darses, S., Nourdin, I., & Peccati, G. (2009). Differentiating $\sigma$-fields for Gaussian and shifted Gaussian processes. Stochastics: an International Journal of Probablitiy and Stochastic Processes, 81 (1), 79--97. doi:10.1080/17442500802270768
Peer reviewed

Peccati, G., & Taqqu, M. S. (2008). Central limit theorems for double Poisson integrals. Bernoulli, 14 (3), 791--821. doi:10.3150/08-BEJ123
Peer reviewed

Peccati, G. (2008). Multiple integral representation for functionals of Dirichlet processes. Bernoulli, 14 (1), 91--124. doi:10.3150/07-BEJ5169
Peer reviewed

Nourdin, I., & Peccati, G. (2008). Weighted power variations of iterated Brownian motion. Electronic Journal of Probability, 13, 43, 1229--1256. doi:10.1214/EJP.v13-534
Peer Reviewed verified by ORBi

Peccati, G., & Prünster, I. (2008). Linear and quadratic functionals of random hazard rates: an asymptotic analysis. Annals of Applied Probability, 18 (5), 1910--1943. doi:10.1214/07-AAP509
Peer Reviewed verified by ORBi

El-Dakkak, O., & Peccati, G. (2008). Hoeffding decompositions and urn sequences. Annals of Probability, 36 (6), 2280--2310. doi:10.1214/07-AOP389
Peer reviewed

Peccati, G., & Taqqu, M. S. (2008). Limit theorems for multiple stochastic integrals. Latin American Journal of Probability and Mathematical Statistics, 4, 393--413.
Peer reviewed

Peccati, G., & Yor, M. (2008). Burkholder's submartingales from a stochastic calculus perspective. Illinois Journal of Mathematics, 52 (3), 815--824. doi:10.1215/ijm/1254403716
Peer Reviewed verified by ORBi

Peccati, G., & Taqqu, M. S. (2008). Stable convergence of multiple Wiener-It\^o integrals. Journal of Theoretical Probability, 21 (3), 527--570. doi:10.1007/s10959-008-0154-x
Peer reviewed

Marinucci, D., & Peccati, G. (2008). High-frequency asymptotics for subordinated stationary fields on an abelian compact group. Stochastic Processes and Their Applications, 118 (4), 585--613. doi:10.1016/j.spa.2007.05.008
Peer reviewed

Peccati, G., & Taqqu, M. S. (2007). Stable convergence of generalized $L^2$ stochastic integrals and the principle of conditioning. Electronic Journal of Probability, 12, 15, 447--480. doi:10.1214/EJP.v12-404
Peer Reviewed verified by ORBi

Peccati, G. (2007). Gaussian approximations of multiple integrals. Electronic Communications in Probability, 12, 350--364. doi:10.1214/ECP.v12-1322
Peer Reviewed verified by ORBi

Peccati, G., & Tudor, C. A. (2007). Anticipating integrals and martingales on the Poisson space. Random Operators and Stochastic Equations, 15 (4), 327--352. doi:10.1515/rose.2007.021
Peer Reviewed verified by ORBi

Peccati, G., & Yor, M. (2006). Identities in law between quadratic functionals of bivariate Gaussian processes, through Fubini theorems and symmetric projections. In Approximation and probability (pp. 235--250). Warsaw, Unknown/unspecified: Polish Acad. Sci. doi:10.4064/bc72-0-15
Peer reviewed

Peccati, G., Thieullen, M., & Ciprian, T. (2006). Martingale structure of Skorohod integral processes. Annals of Probability, 34 (3), 1217--1239. doi:10.1214/009117905000000756
Peer reviewed

Deheuvels, P., Peccati, G., & Yor, M. (2006). On quadratic functionals of the Brownian sheet and related processes. Stochastic Processes and Their Applications, 116 (3), 493--538. doi:10.1016/j.spa.2005.10.004
Peer reviewed

Peccati, G., & Tudor, C. A. (2005). Gaussian limits for vector-valued multiple stochastic integrals. In Séminaire de Probabilités XXXVIII (pp. 247--262). Berlin, Unknown/unspecified: Springer.
Peer reviewed

Nualart, D., & Peccati, G. (2005). Central limit theorems for sequences of multiple stochastic integrals. Annals of Probability, 33 (1), 177--193. doi:10.1214/009117904000000621
Peer reviewed

Peccati, G., & Yor, M. (2004). Four limit theorems for quadratic functionals of Brownian motion and Brownian bridge. In Asymptotic methods in stochastics (pp. 75--87). Providence, RI, Unknown/unspecified: Amer. Math. Soc.
Peer reviewed

Peccati, G., & Yor, M. (2004). Hardy's inequality in $L^2([0,1])$ and principal values of Brownian local times. In Asymptotic methods in stochastics (pp. 49--74). Providence, RI, Unknown/unspecified: Amer. Math. Soc.
Peer reviewed

Peccati, G. (2004). Weak convergence to Ocone martingales: a remark. Electronic Communications in Probability, 9, 172--174. doi:10.1214/ECP.v9-1121
Peer Reviewed verified by ORBi

Peccati, G. (2004). Hoeffding-ANOVA decompositions for symmetric statistics of exchangeable observations. Annals of Probability, 32 (3A), 1796--1829. doi:10.1214/009117904000000405
Peer reviewed

Peccati, G. (2004). Anticipative stochastic integration based on time-space chaos. Stochastic Processes and Their Applications, 112 (2), 331--355. doi:10.1016/j.spa.2004.03.003
Peer reviewed

Peccati, G. (2003). Explicit formulae for time-space Brownian chaos. Bernoulli, 9 (1), 25--48. doi:10.3150/bj/1068129009
Peer reviewed

Peccati, G. (2003). Hoeffding decompositions for exchangeable sequences and chaotic representation of functionals of Dirichlet processes. Comptes Rendus. Mathématique, 336 (10), 845--850. doi:10.1016/S1631-073X(03)00186-9
Peer reviewed

Peccati, G. (2001). A representation result for time-space Brownian chaos. Annales de l'Institut Henri Poincare (B) Probability & Statistics, 37 (5), 607--625. doi:10.1016/S0246-0203(01)01076-7
Peer reviewed

Peccati, G. (2001). On the convergence of multiple random integrals. Studia Scientiarum Mathematicarum Hungarica, 37 (3-4), 429--470.
Peer reviewed

Favaro, S., Hanin, B., Marinucci, D., NOURDIN, I., & PECCATI, G. (n.d.). Quantitative CLTs in Deep Neural Networks. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/57773.

Contact ORBilu