Ciclo di Seminari - Progetto ERC grant PASCAL (Probabilistic and Statistical Techniques for Cosmological Applications) Mercoledì 4 Marzo - ore 15.00 Aula D'Antoni 1101 Dipartimento di Matematica Università di Roma Tor Vergata Speaker: Claudio Durastanti - Università di Tor Vergata Title: Spherical wavelets: an overview and some applications. Abstract: Our aim is to describe the construction of wavelets over the q-dimensional sphere featuring strong concentration properties in the spatial domain, introduced in literature as needlets by Narcowich, Petrushev, Ward (2006 a,b). We will also discuss some of their statistical applications: the study of quantitative central limit theorems for some linear and nonlinear statistics built from wavelet coefficients evaluated on spherical Poisson processes of arbitrary dimension. This purpose is attained by merging the Stein-Malliavin approach (introduced in the seminal paper by Peccati, Sanz-Solè, Taqqu and Utzet (2011)) and the properties of the needlets. We will also discuss some examples: the thresholding and the study of variance in nonparametric density estimation framework and the so-called Sobolev tests for uniformity. This is a joint work with Solesne Bourguin, Domenico Marinucci and Giovanni Peccati. Tutti gli interessati sono invitati a partecipare. Valentina Cammarota ................................................................................ Valentina Cammarota, Postdoc Department of Mathematics Universita` degli Studi di Roma Tor Vergata https://sites.google.com/site/valentinacammarota/ ................................................................................ -- Open WebMail Project (http://openwebmail.org)