We establish here a quantitative central limit theorem (in Wasserstein distance) for the Euler–
Poincaré characteristic of excursion sets of random spherical eigenfunctions in dimension 2 …

This paper addresses the asymptotic analysis of sojourn functionals of spatiotemporal
Gaussian random fields with long-range dependence (LRD) in time, also known as long …

Our interest in this paper is to explore limit theorems for various geometric functionals of
excursion sets of isotropic Gaussian random fields. In the past, asymptotics of nonlinear …

In this paper, we consider isotropic and stationary real Gaussian random fields defined on S
2× R and we investigate the asymptotic behavior, as T→+∞, of the empirical measure …

Abstract We investigate Stein–Malliavin approximations for nonlinear functionals of
geometric interest for random eigenfunctions on the unit d-dimensional sphere S d, d≥ 2. All …

Abstract Let X={X(x):\x∈S^N\} be a real-valued, centered Gaussian random field indexed on
the N-dimensional unit sphere S^N. Approximations to the excursion probability …

In this paper, we investigate a class of spherical functional autoregressive processes, and
we discuss the estimation of the corresponding autoregressive kernels. In particular, we first …

In this short note, we build upon recent results from our earlier paper to present a precise
expression for the asymptotic variance of the Euler-Poincaré characteristic for the excursion …

In the present paper, we deal with a stationary isotropic random field X:R^d→R and we
assume it is partially observed through some level functionals. We aim at providing a …

In this paper, we are concerned with sample path properties of isotropic spherical Gaussian
fields on S 2. In particular, we establish the property of strong local nondeterminism of an …