Exact statistical properties of the zeros of complex random polynomials

From MaRDI portal
Publication:4262500

DOI10.1088/0305-4470/32/16/006zbMath0945.60050arXivcond-mat/9812388OpenAlexW3099637597MaRDI QIDQ4262500

G. Honner, Peter J. Forrester

Publication date: 3 October 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9812388




Related Items (35)

Variance of the number of zeroes of shift-invariant Gaussian analytic functionsRenormalized energy concentration in random matricesFamilies of two-dimensional Coulomb gases on an ellipse: correlation functions and universalityRandom complex zeroes. III: Decay of the hole probabilityHole probability for zeroes of Gaussian Taylor series with finite radii of convergenceAsymptotic distribution of complex zeros of random analytic functionsThe variance of the number of zeros for complex random polynomials spanned by OPUCEdge behavior of higher complex-dimensional determinantal point processesThe random Weierstrass zeta function. I: Existence, uniqueness, fluctuationsSpherical induced ensembles with symplectic symmetryFluctuations of the nodal length of random spherical harmonicsThe forbidden region for random zeros: Appearance of quadrature domainsUniversality in the number variance and counting statistics of the real and symplectic Ginibre ensembleSzegő type asymptotics for the reproducing kernel in spaces of full-plane weighted polynomialsA review of exact results for fluctuation formulas in random matrix theoryMathematics of gravitational lensing: Multiple imaging and magnificationCorrelation functions for random complex zeroes: Strong clustering and local universalityConvergence of random zeros on complex manifoldsA mathematical theory of stochastic microlensing. II. Random images, shear, and the Kac–Rice formulaRandom complex zeroes. I: Asymptotic normalityBeurling-Landau densities of weighted Fekete sets and correlation kernel estimatesFine asymptotic behavior for eigenvalues of random normal matrices: Ellipse caseThe Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroesExtremes of 2d Coulomb gas: universal intermediate deviation regimeReal zeroes of random analytic functions associated with geometries of constant curvatureAsymptotic expansion of the variance of random zeros on complex manifoldsFluctuations for zeros of Gaussian Taylor seriesRescaling Ward identities in the random normal matrix modelScaling limits of planar symplectic ensemblesA note on mixed matrix moments for the complex Ginibre ensembleThe Ginibre ensemble of real random matrices and its scaling limitsRate of convergence to the Circular Law via smoothing inequalities for log-potentialsZeros of a random algebraic polynomial with coefficient means in geometric progressionRoots of random functions: A framework for local universalityAnalogies between random matrix ensembles and the one-component plasma in two-dimensions




This page was built for publication: Exact statistical properties of the zeros of complex random polynomials