activity
20152025
most citedQuantitative limit theorems for local functionals of arithmetic random waves

7 citations · 14 across the 8 of their papers we have counts for

collaborators

17 papers

math.PR2025

Almost sure central limit theorems via chaos expansions and related results

Leonardo Maini, Maurizia Rossi, Guangqu Zheng

In this work, we investigate the asymptotic behavior of integral functionals of stationary Gaussian random fields as the integration domain tends to be the whole space. More precis…

math.PR2024

Sojourn functionals of time-dependent -random fields on two-point homogeneous spaces

Alessia Caponera, Maurizia Rossi, María Dolores Ruiz Medina

In this note we investigate geometric properties of invariant spatio-temporal random fields defined on a compact two-point homogeneous…

math.PR2023

Correlation Structure and Resonant Pairs for Arithmetic Random Waves

Valentina Cammarota, Riccardo-W. Maffucci, Domenico Marinucci +1

The geometry of Arithmetic Random Waves has been extensively investigated in the last fifteen years, starting from the seminal papers [RW08, ORW08]. In this paper we study the corr…

math.PR2023

Laguerre Expansion for Nodal Volumes and Applications

Domenico Marinucci, Maurizia Rossi, Anna Paola Todino

We investigate the nodal volume of random hyperspherical harmonics on the -dimensional unit sphere (). We exploit an orth…

math.PR2023

Quasi-critical fluctuations for 2d directed polymers

Francesco Caravenna, Francesca Cottini, Maurizia Rossi

We study the 2d directed polymer in random environment in a novel *quasi-critical regime*, which interpolates between the much studied sub-critical and critical regimes. We prove E…

math.PR20211 cited

Asymptotic distribution of Nodal Intersections for ARW against a Surface

Riccardo W. Maffucci, Maurizia Rossi

We investigate Gaussian Laplacian eigenfunctions (Arithmetic Random Waves) on the three-dimensional standard flat torus, in particular the asymptotic distribution of the nodal inte…