Asymptotic behaviour of level sets of needlet random fields

R Shevchenko, AP Todino - Stochastic Processes and their Applications, 2023 - Elsevier
We consider sequences of needlet random fields defined as weighted averaged forms of
spherical Gaussian eigenfunctions. Our main result is a Central Limit Theorem in the high …

A note on -monochromatic random waves and cancellation

F Dalmao - arXiv preprint arXiv:2208.10589, 2022 - arxiv.org
In this note we prove that the asymptotic variance of the nodal length of complex-valued
monochromatic random waves restricted to an increasing domain in $\R^ 3$ is linear in the …

Expected Lipschitz-Killing curvatures for spin random fields and other non-isotropic fields

F Pistolato, M Stecconi - arXiv preprint arXiv:2406.04850, 2024 - arxiv.org
Spherical spin random fields are used to model the Cosmic Microwave Background
polarization, the study of which is at the heart of modern Cosmology and will be the subject …

Fluctuations of the Nodal Number in the Two-Energy Planar Berry Random Wave Model

K Smutek - arXiv preprint arXiv:2402.18219, 2024 - arxiv.org
We investigate the fluctuations of the nodal number (count of the phase singularities) in a
natural extension of the well-known complex planar Berry Random Wave Model-Berry …

S2-PepAnalyst: A Web Tool for Predicting Plant Small Signalling Peptides

KL Vomo Donfack, M Abaach, AM Luna, G Ginot… - bioRxiv, 2024 - biorxiv.org
Small signalling peptides (SSPs) play crucial roles in plant growth, development, and stress
responses. However, accurately identifying and characterising SSPs remains challenging …