457 citations · 2.3k across the 77 of their papers we have counts for
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On the distribution of the critical values of random spherical harmonics
Valentina Cammarota, Domenico Marinucci, Igor Wigman
We study the limiting distribution of critical points and extrema of random spherical harmonics, in the high energy limit. In particular, we first derive the density functions of e…
A Simple Proposal for Radial 3D Needlets
Claudio Durastanti, Yabebal T. Fantaye, Frode K. Hansen +2
We present here a simple construction of a wavelet system for the three-dimensional ball, which we label \emph{Radial 3D Needlets}. The construction envisages a data collection env…
Gaussian approximations of nonlinear statistics on the sphere
Solesne Bourguin, Claudio Durastanti, Domenico Marinucci +1
We show how it is possible to assess the rate of convergence in the Gaussian approximation of triangular arrays of -statistics, built from wavelets coefficients evaluated on a h…
The Needlet CMB Trispesctrum
Antonino Troja, Simona Donzelli, Davide Maino +1
We propose a computationally feasible estimator for the needlet trispectrum, which develops earlier work on the bispectrum by Donzelli et al. (2012). Our proposal seems to enjoy a…
Cosmological Applications of the Gaussian Kinematic Formula
Yabebal Fantaye, Frode Hansen, Davide Maino +1
The Gaussian Kinematic Formula (GKF, see Adler and Taylor (2007,2011)) is an extremely powerful tool allowing for explicit analytic predictions of expected values of Minkowski func…
Stein-Malliavin Approximations for Nonlinear Functionals of Random Eigenfunctions on
Domenico Marinucci, Maurizia Rossi
We investigate Stein-Malliavin approximations for nonlinear functionals of geometric interest of Gaussian random eigenfunctions on the unit -dimensional sphere ${\mathbb{S}}^{d…