Publications
Books
Random Fields on the Sphere: Representations, Limit Theorems and Cosmological Applications, with G.Peccati, Cambridge University Press 2011
Publications on Peer-Reviewed International Journals (updated November 2023)
1. Spherical Poisson Waves (with S.Bourguin, C.Durastanti, A.P.Todino), Electronic Journal of Probability, in press (2024)
2. A quantitative functional central limit theorem for shallow neural networks (with V.Cammarota, M.Salvi, S.Vigogna), Modern Stochastics: Theory and Applications, Vol. 11, No. 1, 85-108 (2024)
3. Minkowski Functionals in SO(3) for the spin-2 CMB polarisation field (with J.Carron, A.Carones, M.Migliaccio, N.Vittorio), Journal of Cosmology and Astroparticle Physics, in press, (2024)
4. Flexible-bandwidth Needlets (with C.Durastanti and A.P.Todino), Bernoulli, Vol. 30, n. 1, 22-45 (2024)
5. Minkowski Functionals of CMB polarization intensity with Pynkowski: Theory and application to Planck and future data (with A.Carones et al.), Monthly Notices of the Royal Astronomical Society, Volume 527, 1, 756-773, (2024)
6. Geometric Methods for Spherical Data, with Applications to Cosmology (with J. Carron Duque), Annual Review of Statistics and its Applications, in press (2024)
7. Multiclustering needlet ILC for CMB B-mode component separation (with A.Carones et al.), Monthly Notices of the Royal Astronomical Society, Vol. 525, 3117-3135 (2023)
8. Some Recent Developments on the Geometry of Random Spherical Eigenfunctions, Proceedings of the 8th European Congress of Mathematics, Invited Paper, 338-365, (2023)
9. Lipschitz-Killing Curvatures for Arithmetic Random Waves, (with V.Cammarota and M.Rossi), Annali Scuola Normale Superiore, Vol. 24, n. 2, 1095-1147, (2023)
10. Analysis of Needlet Internal Linear Combination Performance on B Mode Data from Sub-Orbital Experiments (with A.Carones, M.Migliaccio, N.Vittorio), Astronomy & Astrophysics, Volume 677, id.A147, 23 pp. (2023)
11. On the Correlation of Critical Points and Angular Trispectrum for Random Spherical Harmonics (with V.Cammarota), Journal of Theoretical Probability, Vol.35, n. 4, 2269-2303, (2022)
12. Euclid Preparation: XV. Forecasting Cosmological Constraints for the Euclid and CMB Joint Analysis (with the Euclid Collaboration), Astronomy and Astrophysics, 675, A91, (2022)
13. A Novel Cosmic Filament Catalogue from SDSS Data, (with J.Carron Duque, M.Migliaccio, N.Vittorio), Astronomy and Astrophysics, 659, A166, (2022)
14. Non-Universal Fluctuations of the Empirical Measure for Isotropic Stationary Fields on S^2xR, (with M.Rossi and A.Vidotto), Annals of Applied Probability, 31, 5, 2311-2349, (2021)
15. Asymptotics for Spherical Functional Autoregressions, (with A.Caponera), Annals of Statistics, 49, 1, 346-369, (2021)
16. Nodal deficiency of random spherical harmonics in presence of boundary, (with V.Cammarota and I.Wigman), Journal of Mathematical Physics, 62, 2, n.022701, (2021)
17. On the Correlation between Nodal and Nonzero Level Sets for Random Spherical Harmonics, (with M.Rossi), Annalés Henri Poincaré, 22,1, 275-307, (2021)
18. Needlet Thresholding Methods in Component Separation (with F.Oppizzi, A.Renzi, M.Liguori, F.K.Hansen, C.Baccigalupi, D.Bertacca, D.Poletti), Journal of Cosmology and Astroparticle Physics, 3, 054, 29 pp. (2020)
19. A Reduction Principle for the Critical Values of Random Spherical Harmonics (with V.Cammarota), Stochastic Processes and their Applications, Vol. 130, 4, 2433-2470, (2020)
20. The Asymptotic Equivalence of the Sample Trispectrum and the Nodal Length for Random Spherical Harmonics, (with M.Rossi e I.Wigman), Annalés Institute Henri Poincaré- Prob.Stat., Vol. 56, 1, 374-390, (2020)
21. Planck-Scale Distribution of Nodal Length of Arithmetic Random Waves (with J.Benatar and I.Wigman), Journal d'Analyse Mathématique, Volume 141, 2, pp. 707-749, (2020)
22. Multiple Testing of Local Maxima for Detection of Peaks on the (Celestial) Sphere (with D.Cheng, V. Cammarota, Y. Fantaye, A. Schwartzman), Bernoulli, Vol. 26, n. 1, pp.31-60, (2020)
23. A Numerical Investigation on the High-Frequency Geometry of Spherical Random Eigenfunctions (with Y. Fantaye, V.Cammarota, A.P.Todino), High Frequency, Wiley (2019)
24. Point Source Detection and False Discovery Rate Control on CMB Maps (with J.Carron-Duque, A.Buzzelli, Y.Fantaye, A. Schwartzman, N.Vittorio), Astronomy and Computing, 28, 100310 (2019)
25. A Quantitative Central Limit Theorem for the Euler-Poincaré Characteristic of Random Spherical Harmonics (with V. Cammarota), Annals of Probability, 46, 6, 3188-3288 (2018)
26. Strong Local Nondeterminism and Exact Modulus of Continuity for Spherical Gaussian Fields (with X. Lan and Y. Xiao), Stochastic Processes and their Applications, 128, 4, 1294-1315, (2018)
27. Approximate Normality of High-Energy Hyperspherical Eigenfunctions (with S.Campese and M.Rossi), Journal of Mathematical Analysis and its Applications, 461, 1, 500-522, (2018)
28. Non-universality of Nodal Length Distribution for Arithmetic Random Waves (with G.Peccati, M.Rossi, I.Wigman), Geometric and Functional Analysis, 26, 3, 926-960 (2016)
29. Fluctuations of the Euler-Poincaré Characteristic for Random Spherical Harmonics (with V.Cammarota, I.Wigman), Proceedings of the American Mathematical Society, 144,11, 4759-4775 (2016)
30. On the Distribution of the Critical Values of the Random Spherical Harmonics (with V.Cammarota, I.Wigman), Journal of Geometric Analysis, 4, 3252-3324, (2016)
31. Needlet Estimation of Cross-Correlation between CMB Lensing Maps and LSS (with F.Bianchini and Alessandro Renzi), Journal of Cosmology and Astroparticle Physics, Issue 11, article id. 050 (2016)
32. Planck 2015 results. XVII. Constraints on Primordial non-Gaussianity (Planck Collaboration), Astronomy & Astrophysics, Volume 594, id.A17, 66 pp. (2016)
33. Planck 2015 Results. I. Overview of Products and Scientific Results (Planck Collaboration), Astronomy & Astrophysics, Volume 594, id.A1, 38 pp. (2016)
34. Planck 2015 results. XVI. Isotropy and Statistics of the CMB (Planck Collaboration), Astronomy & Astrophysics, Volume 594, id.A16, 62 pp. (2016)
35. High-Frequency Asymptotics for Lipschitz-Killing Curvatures of Excursion Sets on the Sphere (with S.Vadlamani), Annals of Applied Probability, 26,1, 462-506 (2016)
36. Gaussian Approximations of Nonlinear Statistics on the Sphere (with. S.Bourguin, C.Durastanti, G.Peccati), Journal of Mathematical Analysis and its Applications, 436, 2, 1121-1148 (2016)
37. Stein-Malliavin Approximations for Nonlinear Functionals of Random Eigenfunctions on ${mathbb{S}}^{d}$ (with M.Rossi), Journal of Functional Analysis, 268,8, 2379-2420 (2015)
38. Cosmological Applications of the Gaussian Kinematic Formula (with Y.Fantaye, F.K.Hansen, D.Maino), Physical Review D, Volume 91, 063501 (2015)
39. A Note on Global Suprema of Band-Limited Spherical Random Functions (with S.Vadlamani), Statistics and Probability Letters, 96, 141-148 (2015)
40. The Stochastic Properties of $\ell^1$-Regularized Spherical Gaussian Fields (with V.Cammarota), Applied and Computational Harmonic Analysis, 38, 2, 262-283 (2015)
41. On the Limiting Behaviour of Needlets Polyspectra (with V.Cammarota), Annalés Institute Henri Poincaré- Prob.Stat., 51,3, 1159-1189 (2015)
42. Simple Proposal for 3D Radial Needlets (with C.Durastanti, Y. Fantaye, F.K.Hansen, I. Pesenson), Physical Review D, Volume 90, Issue 10, id.103532 (2014)
43. Planck 2013 results. I. Overview of products and scientific results (Planck Collaboration), Astronomy and Astrophysics, Volume 571, idA1, 48 pp. (2014)
44. Planck 2013 results. XV. CMB power spectra and likelihood (Planck Collaboration), Astronomy and Astrophysics, Volume 571, idA15,. (2014)
45. Planck 2013 results. XXIII. Isotropy and statistics of the CMB (Planck Collaboration), Astronomy and Astrophysics, Volume 571, idA23. (2014)
46. Planck 2013 results. XXIV. Constraints on primordial non-Gaussianity (Planck Collaboration), Astronomy and Astrophysics, Volume 571, idA24, 58 pp. (2014)
47. Sparse Inpainting and Isotropy, (with S.Feeney, J.McEwen, H.Peiris, B.Wandelt, V.Cammarota), Journal of Cosmology and Astroparticle Physics, 050 (2014)
48. Normal Approximations for Wavelet Coefficients on Spherical Poisson Fields, (with C.Durastanti and G.Peccati), Journal of Mathematical Analysis and its Applications, 409,1, 212-227 (2014)
49. On Nonlinear Functionals of Random Spherical Eigenfunctions (with I. Wigman), Communications in Mathematical Physics, 327, n.3, 849-872 (2014)
50. Gaussian Semiparametric Estimates on the Unit Sphere (with C.Durastanti and X.Lan), Bernoulli, n.1, 28-77 (2014)
51. Mean Square Continuity on Homogenous Spaces of Compact Groups, (with G.Peccati), Electronic Communications in Probability, Vol. 18, n.37, 10 pp. (2013)
52. Needlet-Whittle Estimates on the Unit Sphere, (with C.Durastanti and X.Lan), Electronic Journal of Statistics, 7, 597-646, (2013)
53. Cosmic-Ray Anisotropies observed by the ARGO-YBJ Experiment, (with R. Iuppa et al.) Nuclear Instruments and Methods in Physics Research A, 160-164 (2012)
54. On the Linear Term Correction for Needlets/Wavelets non-Gaussianity Estimators (with S.Donzelli et al.), Astrophysical Journal, 755, 19 (2012)
55. Detection of New Point Sources in WMAP 7 Year Data Using Internal Templates and Needlets (with S.Scodeller and F.Hansen), Astrophysical Journal, 753, 27 (2012)
56. Adaptive Nonparametric Regression on Spin Fiber Bundles (with C.Durastanti and D.Geller), Journal of Multivariate Analysis, 104, pp. 16-38, (2012)
57. Planck early results. III. First assessment of the Low Frequency Instrument in-flight performance (with the Planck collaboration) Astronomy and Astrophysics, Volume 536, A3, (2011)
58. Planck early results. V. The Low Frequency Instrument data processing, (with the Planck collaboration) Astronomy and Astrophysics, Volume 536, A5, (2011)
59. On the Area of the Excursion Sets of Spherical Gaussian Eigenfunctions (with I.Wigman), Journal of Mathematical Physics, 52, n.9, 093301, (2011)
60. The Defect Variance of Random Spherical Harmonics (with I.Wigman), Journal of Physics A: Mathematical and Theoretical, 44, 355206 (2011)
61. Mixed Needlets (with D.Geller), Journal of Mathematical Analysis and its Applications, Vol. 375, pp. 610-630 (2011)
62. Introducing Mexican Needlets for CMB Analysis: Issues for Practical Applications and Comparison with Standard Needlets (with S.Scodeller, O. Rujord, D.Geller, F.Hansen, A.Mayeli), Astrophysical Journal, (2011)
63. Ergodicity and Gaussianity for Spherical Random Fields (with G.Peccati), Journal of Mathematical Physics, n.4, 043301, (2010)
64. Spin Wavelets on the Sphere (with D. Geller), Journal of Fourier Analysis and its Applications, Vol. 6, pp.840/884, arxiv: 0811.2935 (2010)
65. A statistical procedure for the identification of positrons in the PAMELA experiment (with the PAMELA collaboration), Astroparticle Physics, 34, 1-11, arXiv 1001.3522 (2010)
66. Directional Variations of the Non-Gaussianity Parameter f_NL, (with O. Rudjord, F.K.Hansen, X.Lan, M. Liguori, S.Matarrese), Astrophysical Journal, 708:1321-1325, arXiv: 0906.3232 (2010)
67. Representations of SO(3) and Angular Polyspectra (with G.Peccati), Journal of Multivariate Analysis, Vol. 101, pp.77-100, arxiv: 0807.0687 (2010)
68. Group Representations and High-Resolution Asymptotics for Subordinated Isotropic Fields on the Sphere (with G.Peccati), Bernoulli, 16, n.3, 798-824, arxiv: 0706.2851 (2010)
69. Spin Needlets Spectral Estimation (with D. Geller and X. Lan), Electronic Journal of Statistics, Vol. 3, 1497-1530, arXiv 0907.3369 (2009)
70. An Estimate of the Primordial Non-Gaussianity Parameter f_NL Using the Needlet Bispectrum from WMAP (with O. Rudjord, F.K.Hansen, X.Lan, M. Liguori, S.Matarrese), Astrophysical Journal, 701:369-376, arxiv: 0901.3154 (2009)
71. On the Dependence Structure of Wavelet Coefficients for Spherical Random Fields (with X.Lan), Stochastic Processes and their Applications, Vol. 119, pp. 3749-3766, arxiv: 0805.4154, (2009)
72. Adaptive Density Estimation for Directional Data Using Needlets (with P.Baldi, G.Kerkyacharian, D. Picard), Annals of Statistics, Vol.37, pp.3362-3395, arxiv: 0807.5059 (2009)
73. Subsampling Needlet Coefficients on the Sphere (with P.Baldi, G.Kerkyacharian, D.Picard), Bernoulli, Vol. 15, 438-463, arxiv: 0706.4169, (2009)
74. Statistical Challenges in the Analysis of Cosmic Microwave Background Radiation (with P. Cabella), Annals of Applied Statistics, Vol.3, N.1, pp. 61-95, arxiv:0807.1816, (2009)
75. Asymptotics for Spherical Needlets (with P.Baldi, G.Kerkyacharian, D.Picard), Annals of Statistics, Vol. 37, No. 3, 1150-1171, math.st/0606599, (2009)
76. Spin Wavelets for Polarization Data Analysis, (with D. Geller, F.Hansen, G.Kerkyacharian, D. Picard), Physical Review D, D78:123533, arxiv: 0811.2881, (2008)
77. Needlet Detection of Features in CMB Sky and the Impact on Anisotropies and Hemispherical Asymmetries, (with D.Pietrobon et al.), Physical Review D, D78:103504,2008, arxiv: 0809.0010, (2008)
78. The Needlet Bispectrum (with X. Lan), Electronic Journal of Statistics, Vol. 2, pp.332-367, (2008)
79. A Central Limit Theorem and Higher Order Results for the Angular Bispectrum, Probability Theory and Related Fields, Vol. 141, N.3-4, pp. 389-409, math.pr/0509430, (2008)
80. High-Frequency Asymptotics for Subordinated Isotropic Fields on an Abelian Compact Group (with G.Peccati), Stochastic Processes and their Applications, Vol. 118, pp. 585-613, math.pr/0607044, (2008)
81. Spherical Needlets for CMB Data Analysis (with D.Pietrobon et al.), Monthly Notices of the Royal Astronomical Society, Vol. 383, pp.539-545, (2008)
82. High-Frequency Asymptotics for Wavelet-Based Tests for Gaussianity and Isotropy on the Torus (with P.Baldi, G.Kerkyacharian, D.Picard), Journal of Multivariate Analysis, Vol. 99, pp. 606-636, math.st/0606154, (2008)
83. Polynomial Cointegration among Stationary Processes with Long Memory (with M.Avarucci), Journal of Time Series Analysis, Vol.28, pp.923-942, math.st/0607150, (2007)
84. On the Characterization of Isotropic Gaussian Fields on Homogeneous Spaces of Compact Groups, (with P.Baldi e V.S.Varadarajan), Electronic Communications in Probability, 12, pp.291-302, (2007)
85. Some Characterization of the Spherical Harmonics Coefficients for Isotropic Random Fields, (with P.Baldi), Statistics and Probability Letters, Vol. 77, pp. 490-496, (2007)
86. High Resolution Asymptotics for the Angular Bispectrum of Spherical Random Fields, Annals of Statistics, Vol.34, N.1, pp. 1-41 (2006)
87. Integrated Sachs-Wolfe effect from the cross correlation of WMAP3 year and the NRAO VLA sky survey data: New results and constraints on dark energy, (with A.Balbi e D.Pietrobon), Physical Review D, 74, 043524, (2006)
88. The integrated bispectrum as a test of cosmic microwave background non-Gaussianity: detection power and limits on fNL with WMAP data, (with P. Cabella et al.), Monthly Notices of the Royal Astronomical Society, Volume 369, n.1, pp. 819-824 (2006)
89. Regression Methods for Testing Non-Gaussianity on a Sphere, Random Operator and Stochastic Equations, Vol.13, N.4, 313-324 (2005)
90. Unbiased estimation of Angular Power Spectra (with G.Polenta et al.), Journal of Cosmology and Astroparticle Physics, Issue 11, n.1, (2005)
91. Primordial non-Gaussianity: local curvature method and statistical significance of constraints on fNL from WMAP data, (with P. Cabella et al.), Monthly Notices of the Royal Astronomical Society, Volume 358, Issue 2, pp. 684-692 (2005)
92. The Empirical process for Bivariate Sequences with Long Memory, Statistical Inference on Stochastic Processes, Volume 8, Issue 2, pp.205-223 (2005)
93. Asymmetries in the Local Curvature of the WMAP Data (with F.K.Hansen et al.), Astrophysical Journal Letters, p.L67-L70, (2004)
94. The Empirical Process on Gaussian Spherical Harmonics (with M.Piccioni), Annals of Statistics, vol. 32, pp.1261-1288 (2004)
95. Search for non-Gaussianity in Pixel, Harmonic and Wavelet Space: Compared and Combined (with P. Cabella et al.), Physical Review D, vol.69, 063007, (2004)
96. Testing for non-Gaussianity on Cosmic Microwave Background Radiation: a Review, Statistical Science, Vol. 19, Issue 2, pp. 294-307 (2004)
97. The Extended Empirical Process Test for Non-Gaussianity, with an Application to Nonstandard Inflationary Models (with F.K. Hansen and N.Vittorio), Physical Review D, vol. 67, 123004, (2003)
98. Gaussian Semiparametric Estimation for Random Fields with Singular Spectrum, Probability and Mathematical Statistics, vol. 23, 1, pp.105-138 (2003)
99. The empirical process approach for detection of non-Gaussianity in the CMB (with F.Hansen et al.), New Astronomy Reviews, Volume 47, Issue 8-10, p. 811-814 (2003)
100. Testing for Non-Gaussianity in Harmonic Space: an Empirical Process Approach (with F.Hansen et al. ), Physical Review D, vol. 66, id. 3006, (2002)
101. Non-Iterative Methods to Estimate the In-Flight Noise Properties of CMB Detectors, (with P.Natoli et al.), Astronomy and Astrophysics, 383, 1100-1112, (2002)
102. Cyclical Behaviour of Bone Remodelling and Bone Loss in Healthy Women after Menopause: Results of a Prospective Study, (with G.Mazzuoli et al.), Bone, vol.31, 6, pp.718-724 (2002)
103. Narrow Band Analysis of Nonstationary Processes, (with P.M.Robinson), Annals of Statistics, Vol. 29, no 4, 947-86, (2001)
104. Bayesian Semiparametric Analysis of Long Range Dependence, (with B.Liseo and L.Petrella), Biometrika, Vol. 88, pp. 1089-1104, (2001)
105. Asymptotics for Linear Random Fields, (with S.Poghosyan), Statistics and Probability Letters, , Vol.51, n.2, pp.131-141 (2001)
106. Semiparametric Analysis of Fractional Cointegration, (with P.M.Robinson), Journal of Econometrics, Vol. 105, pp. 225-247, (2001)
107. Finite Sample Improvements in Statistical Inference with I(1) Processes, (with P.M.Robinson), Journal of Applied Econometrics, Vol.16, pp. 431-444 (2001)
108. Weak Convergence of Multivariate Fractional Processes, (with P.M.Robinson), Stochastic Processes and their Applications, (2000), vol.86, pp.103-120
109. Spectral Regression for Cointegrated Time Series with Long Memory Innovations, Journal of Time Series Analysis, Vol. 21, n.6, pp. 685-705 (2000)
110.The Averaged Periodogram for Nonstationary Vector Stochastic Processes, (with P.M.Robinson) Statistical Inference on Stochastic Processes, Vol.3, n.1/2, pp.149-160 (2000)
111. Alternative Forms of Fractional Brownian Motion, (with P.M.Robinson), Journal of Statistical Inference and Planning, Vol.80, 111-122, (1999)