Submitted

• V. Cammarota, R.-W. Maffucci, D. Marinucci, M. Rossi. Correlation Structure and Resonant Pairs for Arithmetic Random Waves. Submitted (2024) arXiv

 Publications in peer-reviewed journals

• V. Cammarota, D. Marinucci, M. Salvi, S. Vigogna. A quantitative functional central limit theorem for shallow neural networks. Modern Stochastics: Theory and Applications, 11 (1) (2024) arXiv

• V. Cammarota, A. P. Todino. On the correlation between critical points and critical values for random spherical harmonics. Theory of Probability and Mathematical Statistics, 106 (2022) arXiv 

•  V. Cammarota, D. Marinucci, M. Rossi. Lipschitz-Killing Curvatures for Arithmetic Random Waves. Annali della Scuola Normale Superiore di Pisa (2022) arXiv 

• V. Cammarota, D. Marunucci. On the Correlation of Critical Points and Angular Trispectrum for Random Spherical Harmonics. Journal of Theoretical Probability (2021) arXiv

• V. Cammarota, D. Marinucci, I. Wignam. Nodal deficiency of random spherical harmonics in presence of boundary. Journal of Mathematical Physics, 62 (2021) arXiv

• D. Beliaev, V. Cammarota, I. Wigman. No repulsion between critical points for planar Gaussian random fields. Electronic Communications in Probability, 25 (2020) arXiv  

• V. Cammarota, O. Klurman, I. Wignam. Boundary effect on the nodal length for Arithmetic Random Waves, and spectral semi-correlations. Commun. Math. Phys. (2020) arXiv 

• V. Cammarota. D. Marinucci. A reduction principle for the critical values of random spherical harmonics. Stochastic Processes and their Applications, 130, issue 4,  2433-2470 (2020)  arXiv

• Y. Fantaye, V. Cammarota, D. Marinucci, A. P. Todino. A Numerical Investigation on the High-Frequency Geometry of Spherical Random Eigenfunctions. High Frequency, 2, Issue 3-4, June-August (2019)  arXiv 

• V. Cammarota. Nodal area distribution for arithmetic random waves.  Transactions of the American Mathematical Society, 372,  3539-3564  (2019) arXiv

• D. Cheng, V. Cammarota, Y. Fantaye, D. Marinucci, A. Schwartzman. Multiple testing of local maxima for detection of peaks on the (celestial) sphere. Bernoulli, 26, number 1, 31-60 (2020) arXiv 

• V. Cammarota, D. Marinucci. A quantitative Central Limit Theorem for the Euler-Poincaré characteristic of random spherical eigenfunctions. Annals of Probability, 46, number 6, 3188-3228 (2018)  arXiv

• D. Beliaev, V. Cammarota, I. Wigman. Two Point Function for Critical Points of a Random Plane Wave. International Mathematics Research Notices, volume 2019, issue 9, 2661-2689 (2019)  arXiv

• V. Cammarota, I. Wigman. Fluctuations of the total number of critical points of random spherical harmonics.  Stochastic Processes and their Applications, 127, issue 12, 3825-3869 (2017)  arXiv

• V. Cammarota, D. Marinucci, I. Wigman. Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics. Proceedings of the American Mathematical Society, 144, issue 11, 4759-4775 (2016)  arXiv

• V. Cammarota, D. Marinucci, I. Wigman. On the distribution of the critical values of random spherical harmonics. The Journal of Geometric Analysis, 26, (2016)  arXiv 

• V. Cammarota, A. Lachal. Entrance and sojourn times for Markov Chains. Application to (L,R)-random walks. Markov Processes and Related Fields, 21, issue 4, 887-938 (2015)  arXiv

• V. Cammarota, D. Marinucci. The Stochastic Properties of $\ell^1$-Regularized Spherical Gaussian Fields. Applied and Computational Harmonic Analysis, 38, issue 2, 262-283 (2015)  arXiv 

• V. Cammarota, D. Marinucci. On the Limiting Behaviour of Needlets Polyspectra. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 51, issue 3, 1159-1189 (2015)  arXiv 

• V. Cammarota, A. De Gregorio, C. Macci. On the asymptotic behaviour of the hyperbolic Brownian motion. J. Stat. Phys., 154, 1550-1560 (2014)  arXiv  

• S. M. Feeney, D. Marinucci, J. D. McEwen, H. V. Peiris, B. D. Wandelt, V. Cammarota. Sparse Inpainting and Isotropy. J. Cosmol. Astropart. Phys., 1, (2014)  arXiv

• V. Cammarota, P. Mörters. On the most visited sites of planar Brownian motion. Electron. Commun. Probab., 17, no. 15, 1-9 (2012) arXiv

• V. Cammarota, E. Orsingher. Hitting spheres on hyperbolic spaces. Theor. Probability Appl., 57, no 3, 560-587 (2012)  arXiv

• V. Cammarota, A. Lachal. Joint distribution of the process and its sojourn time in a half-line $[a,+\infty)$ for pseudo-processes driven by a high-order heat-type equation. Stochastic Process. Appl., 122, 217-249 (2012)

• V. Cammarota, A. Lachal. Joint distribution of the process and its sojourn time on the positive half-line for pseudo-processes governed by high-order heat equation. Electron. J. Probab., 15, 895-931 (2010)  arXiv

• V. Cammarota, E. Orsingher. Angular processes related to Cauchy random walks. Theor. Probability Appl., 55, no 3, 489-506 (2010)  arXiv

• V. Cammarota, A. Lachal, E. Orsingher. Some Darling-Siegert relationships connected with random flights. Stat. Prob. Lett., 79, no. 2, 243-254 (2009) arXiv

• V. Cammarota, E. Orsingher. Cascades of Particles Moving at Finite Velocity in Hyperbolic Spaces. J. Stat. Phys., 133, 1137-1159 (2008)  arXiv 

• V. Cammarota, E. Orsingher. Travelling randomly on the Poincaré half-plane with a Pythagorean compass. J. Stat. Phys., 130, 455-482 (2008)  arXiv