We consider Berry's random planar wave model (1977) for a positive Laplace eigenvalue E>
0 E> 0, both in the real and complex case, and prove limit theorems for the nodal statistics …

Let f be a Gaussian random field on R d and let X be the number of critical points of f
contained in a compact subset. A long-standing conjecture is that, under mild regularity and …

On the nodal structures of random fields: a decade of results | Journal of Applied and Computational
Topology Skip to main content Springer Nature Link Account Menu Find a journal Publish with …

We consider the nodal length L (λ) of the restriction to a ball of radius r λ of a Gaussian
pullback monochromatic random wave of parameter λ> 0 associated with a Riemann …

We consider Berry's random planar wave model (J Phys A 10 (12): 2083–2092, 1977), and
prove spatial functional limit theorems—in the high-energy limit—for discretized and …

Spin (spherical) random fields are very important in many physical applications, in particular
they play a key role in Cosmology, especially in connection with the analysis of the Cosmic …

A lot of efforts have been devoted in the last decade to the investigation of the high-
frequency behaviour of geometric functionals for the excursion sets of random spherical …

This work aims to study the dislocation or nodal lines of 3D Berry's random wave model.
Their expected length is computed both in the isotropic and anisotropic cases, being them …

We show that an isotropic random field on $ SU (2) $ is not necessarily isotropic as a
random field on $ S^ 3$, although the two spaces can be identified. The ambiguity is due to …

We develop a calculus based on zonoids-a special class of convex bodies-for the
expectation of functionals related to a random submanifold $ Z $ defined as the zero set of a …