Fluctuations in Random Complex Zeroes: Asymptotic Normality Revisited
From MaRDI portal
Publication:3108562
DOI10.1093/imrn/rnr007zbMath1242.60051arXiv1003.4251OpenAlexW2963908990MaRDI QIDQ3108562
Publication date: 4 January 2012
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.4251
Central limit and other weak theorems (60F05) Stochastic processes (60G99) Random power series in one complex variable (30B20)
Related Items (23)
Variance of the number of zeroes of shift-invariant Gaussian analytic functions ⋮ Generalization of the Nualart-Peccati criterion ⋮ Concentration of the number of intersections of random eigenfunctions on flat tori ⋮ Fluctuations of linear statistics for Gaussian perturbations of the lattice \(\mathbb{Z}^d\) ⋮ Fluctuations of the increment of the argument for the Gaussian entire function ⋮ The sharp phase transition for level set percolation of smooth planar Gaussian fields ⋮ The random Weierstrass zeta function. I: Existence, uniqueness, fluctuations ⋮ The forbidden region for random zeros: Appearance of quadrature domains ⋮ Smooth Gaussian fields and percolation ⋮ Gaussian complex zeroes are not always normal: limit theorems on the disc ⋮ A covariance formula for topological events of smooth Gaussian fields ⋮ Correlation functions for random complex zeroes: Strong clustering and local universality ⋮ Fluctuations of two dimensional Coulomb gases ⋮ Asymptotic expansion of the variance of random zeros on complex manifolds ⋮ Fluctuations for zeros of Gaussian Taylor series ⋮ Fluctuations in the number of nodal domains ⋮ Phase singularities in complex arithmetic random waves ⋮ Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials ⋮ Diophantine Gaussian excursions and random walks ⋮ Ground states and hyperuniformity of the hierarchical Coulomb gas in all dimensions ⋮ Variance linearity for real Gaussian zeros ⋮ Rigidity of the three-dimensional hierarchical Coulomb gas ⋮ Quasi-independence for nodal lines
This page was built for publication: Fluctuations in Random Complex Zeroes: Asymptotic Normality Revisited
