Personal Details    Born on 12/03/1990 in Rome, Italy. Mother of two children, Nina and Tito, born in 2020 and 2022 respectively. 

Email vidottoanna@gmail.com

Academic positions  

• Since December 30th 2021: Assistant Professor (RTD-A) in Probability (SSD MAT/06) at the Mathematics and Applications Department of the University of Naples Federico II.

• February 1st 2020 - December 29th 2021: Assistant Professor (RTD-A) in Probability (SSD MAT/06) at the Economics Department of the University "G. D'Annunzio" Chieti-Pescara.

• February 2019 - January 2020: PostDoc researcher (Assegnista di Ricerca) at the department of Mathematics of the University of Rome Tor Vergata, in the research team of Domenico Marinucci.

Research interests  Probability Theory and Mathematical Statistics. In particular:

• Probabilistic approximations via Stein-Malliavin techniques and related methods (see this webpage by Prof. Ivan Nourdin)

• Geometric properties of random fields on manifolds 

• Statistical properties of time dependent random fields on the sphere

Preprints

• G. Ascione, A. Vidotto. Time Changed Spherical Brownian Motions with Longitudinal Drifts, preprint arXiv:2403.05202, 2024

• A. Caponera, D. Marinucci, A. Vidotto. MultiScale CUSUM Tests for Time-Dependent Spherical Random Fields, preprint arXiv:2305.01392, 2023

Publications

• D. Marinucci, M. Rossi, A. Vidotto. Fluctuations of Level Curves for Time-Dependent Spherical Random Fields, preprint arXiv:2207.13028, 2022+ (to appear on Annales Henri Lebesgue)

• C. Macci, M. Rossi, A. Vidotto. Non-Universal Moderate Deviation Principle for the Nodal Length of Arithmetic Random Waves, preprint arXiv:2206.15108, 2022+ (to appear on Latin American Journal of Probability and Mathematical Statistics)

• M. Notarnicola, G. Peccati, A. Vidotto. Functional Convergence of Berry's Nodal Lengths: Approximate Tightness and Total Disorder, Journal of Statistical Physics 190, Article number: 97, 2023

• A. Vidotto. Random Lipschitz-Killing Curvatures: Reduction Principles, Integration By Parts And Wiener Chaos, Special issue on the Theory and Applications of Random Fields dedicated to the 90th birthday of Professor M. Yadrenko, Journal: Theory of Probability and Mathematical Statistics, vol. 106, 157-175, 2022

• D. Marinucci, M. Rossi, A. Vidotto. Non-Universal Fluctuations of the Empirical Measure for Isotropic Stationary Fields on S^2 x  R,  The Annals of Applied Probability, vol. 31, no. 5, 2311-2349, 2021

• A. Caponera, C. Durastanti, A. Vidotto. LASSO estimation for spherical autoregressive processes, Stochastic Processes and their Applications, vol. 137, 167-199, July 2021

• A. Vidotto. A Note on the Reduction Principle for the Nodal Length of Planar Random Waves, Statistics and Probability Letters, volume 174, July 2021

• G. Peccati, A. Vidotto.  Gaussian Random Measures Generated by Berry's Nodal Sets,  Journal of Statistical Physics 2020, vol. 178, no. 4, 996-1027

• A. Vidotto.  An improved second order Poincaré inequality for functionals of Gaussian fields,  Journal of Theoretical Probability 2020, vol. 33, no. 1, 396-427 (see the auxiliary file: Appendix A)

• C. Döbler, A. Vidotto, G. Zheng. Fourth moment theorems on the Poisson space in any dimension, Electronic Journal of Probability 2018, vol. 23, paper no. 36, 1-27

Invited talks 

• Fourth Italian meeting on Probability and Mathematical Statistics, Roma, June 10th-14th 2024

• Webinars  of the UMI group PRISMA (PRobability In Statistics, Mathematics and Applications), May 6th 2024

• Geometric and Topological Properties of Random Algebraic Varieties, University of Cologne, October 4th-6th 2023

• XXII Congresso UMI, University of Pisa, September 4th-8th

• Probability Seminar of the Department of Statistical Sciences, University of Rome La Sapienza, June 23rd 2023

• Random Nodal Domains, University of Rennes, June 5th-9th 2021

• Stochastic Models for Complex Systems 2023, Lecce, May 18th-19th 2023

• Third Italian meeting on Probability and Mathematical Statistics, Bologna, June 13th-16th 2022 

• Probability Seminar, University of Padua, May 25th 2022 

• Statistics Seminar, Trinity College Dublin, April 6th 2022

• YAMC - Young Applied Mathematicians Conference, Santa Maria di Leuca, Italy, September 13th-17th 2021

• Geometry of Random Nodal Domains, University of Rennes, September 6th-10th 2021

• Second Italian meeting on Probability and Mathematical Statistics, Vietri sul Mare, June 17th-21st 2019 

• Young Mathematicians Symposium of the Greater Region, INRIA, Nancy,  September 24th-25th 2018

• RTG 2131 Workshop: Stein’s method and Malliavin calculus, recent developments and future perspectives, Ruhr Universität Bochum, December 6th-7th 2017

• First Italian meeting on Probability and Statistical Mathematics, Turin,  June 19th-22nd 2017

Research Projects

• INdAM - GNAMPA Project Geometria stocastica e campi aleatori, PI: C. Durastanti, 2020

• MIUR Excellence Department Project awarded to the Department of Mathematics, University of Rome “Tor Vergata", CUP E83C18000100006, 2018-2022

• FNR Luxembourg - AFR Project High-dimensional challenges and non-polynomial transformations in probabilistic approximations (HIGH-NPOL), 2015-2018

Education

• PhD degree in Mathematics obtained at the University of Luxembourg, Faculty of Science, Technology and Communication.  Thesis: New probabilistic approximations for non-linear functionals of random fields and random measures, thesis of PhD degree in Probability, under the supervision of Professor Giovanni Peccati, 29th of November 2018.

• Master’s degree with honors in Pure and Applied Mathematics, Faculty of Mathematical, Physical and Natural Sciences, University of Rome “Tor Vergata”. Thesis: “Fourth Moment Theorems by Stein-Malliavin techniques and Markov generator theory”, thesis of master’s degree, with Professor Domenico Marinucci, 22nd of October 2015.

• Bachelor’s degree with honors in Statistics, Economics and Finance, Department of Statistical Sciences, Faculty of Information Technology, Computer Science and Statistics, University of Rome “La Sapienza”, July 2012. Thesis: “State Space representations of DSGE models and Structural VARs”, thesis of bachelor’s degree in Econometrics, with Professor Massimo Franchi, July 2012.

• High school diploma in classical studies, Liceo Statale Torquato Tasso, Rome, Italy, June 2009

Conferences and schools (participation only)

• German Probability and Statistics Days 2016, Bochum (Germany) March 1st-4th, 2016

• 46th Probability Summer School Saint-Flour (France), July 3rd – 15th 2016

• 9th Probability Summer School in Ghiffa (Italy), organized by Prof. Peter Eichelsbacher, September 20th-27th 2016

• The Mathematics of Disorder, University of Bonn, October 4th-8th 2016

• Random matrices and their applications, Kyoto University, May 21st-25th 2018

• Spring Probability Workshop, Institute of Mathematics, Academia Sinica, Taipei, Taiwan, June 4th-8th 2018

• Random Waves in Oxford, University of Oxford, June 18th-22nd 2018

• 4th Barcelona Summer School on Stochastic Analysis: a 2018 EMS Summer School, Centre de Recerca Matemàtica, Bellaterra (Barcelona), Spain, July 9th-13th 2018

• Recent Advances in Random Processes – a conference in honor of Paolo Baldi’s 70th birthday, Rome, September 10th-11th  2018

• Mathematical Models and Methods in Earth and Space Science, Department of Mathematics, University of Rome Tor Vergata, March 19th-22nd 2019

•  Recent Trends in Stochastic Analysis and SPDEs,   Department di Mathematics, University of Pisa, July 18th-20th 2019

• Conference on random nodal sets, University of Rennes 1, September 9th-13th 2019

Referee activity 

• Statistics and Probability Letters

• Electronic Journal of Statistics

• Stochastic Processes and their Applications

Teaching

• Complementi di Probabilità e Statistica Matematica (Professor – in Italian). Master Degree in Mathematics, University of Naples Federico II.

• Complementi di Probabilità e Statistica Matematica (Tutor – in Italian). Master Degree in Mathematics, University of Naples Federico II. Course held by Prof. Enrica Pirozzi 

• Analisi Matematica (Professor – in Italian).  Bachelor in Economics and Finance, Università degli Studi "G. D'Annunzio" Chieti-Pescara. 

• Geometria per il Design (Professor – in Italian).  Degree in Design, Università degli Studi "G. D'Annunzio" Chieti-Pescara

• Matematica Generale (Tutor – in Italian). Bachelor in Economics and Finance, Tor Vergata University of Rome. Course held by S. Viaggiu

• Analysis 1 (Tutor – in English). Bachelor in Engineering and Physics, University of Luxembourg. Course held by H. Parlier

• Analysis 1 (Tutor – in English). Bachelor in Engineering and Physics, University of Luxembourg. Course held by P. Bonneau

• Analysis 2 (Tutor – in English). Bachelor in Engineering and Physics, University of Luxembourg. Course held by J.M. Schlenker

• Analysis 2 (Tutor – in English). Bachelor in Engineering and Physics, University of Luxembourg. Course held by J.M. Schlenker

Languages

• Italian (native)

• English (level C1)

• French (level B1)