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4 papers · 2 filters
Phase Singularities in Complex Arithmetic Random Waves
Federico Dalmao, Ivan Nourdin, Giovanni Peccati +1
Complex arithmetic random waves are stationary Gaussian complex-valued solutions of the Helmholtz equation on the two-dimensional flat torus. We use Wiener-Itô chaotic expansions i…
Convergence of random oscillatory integrals in the presence of long-range dependence and application to homogenization
Atef Lechiheb, Ivan Nourdin, Guangqu Zheng +1
This paper deals with the asymptotic behavior of random oscillatory integrals in the presence of long-range dependence. As a byproduct, we solve the corrector problem in random hom…
Normal approximation and almost sure central limit theorem for non-symmetric Rademacher functionals
Guangqu Zheng
In this work, we study the normal approximation and almost sure central limit theorems for some functionals of an independent sequence of Rademacher random variables. In particular…
A Stein deficit for the logarithmic Sobolev inequality
Michel Ledoux, Ivan Nourdin, Giovanni Peccati
We provide explicit lower bounds for the deficit in the Gaussian logarithmic Sobolev inequality in terms of differential operators that are naturally associated with the so-called…