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math.PR2016
A Quantitative Central Limit Theorem for the Euler-Poincaré Characteristic of Random Spherical Eigenfunctions
Valentina Cammarota, Domenico Marinucci
We establish here a Quantitative Central Limit Theorem (in Wasserstein distance) for the Euler-Poincaré Characteristic of excursion sets of random spherical eigenfunctions in dimen…
math.PR2016
Strong Local Nondeterminism and Exact Modulus of Continuity for Spherical Gaussian Fields
Xiaohong Lan, Domenico Marinucci, Yimin Xiao
In this paper, we are concerned with sample path properties of isotropic spherical Gaussian fields on . In particular, we establish the property of strong local nondeterminism…