A universality property of Gaussian analytic functions
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Publication:430986
DOI10.1007/s10959-011-0356-5zbMath1259.30002arXiv1003.1951OpenAlexW1974235832MaRDI QIDQ430986
Marco Merkli, Shannon Starr, Andrew H. Ledoan
Publication date: 26 June 2012
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.1951
Gaussian processes (60G15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Random power series in one complex variable (30B20)
Related Items (3)
Asymptotic distribution of complex zeros of random analytic functions ⋮ Real zeroes of random analytic functions associated with geometries of constant curvature ⋮ Roots of random functions: A framework for local universality
Cites Work
- Quantum chaotic dynamics and random polynomials
- Correlation between zeros of a random polynomial
- Universality and scaling of correlations between zeros on complex manifolds
- Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process
- Complexity of Bezout's Theorem I: Geometric Aspects
- How many zeros of a random polynomial are real?
- On roots of random polynomials
- Distribution of roots of random polynomials
- The Complex Zeros of Random Polynomials
- Random Schrödinger operators on long boxes, noise explosion and the GOE
- Correlations between zeros and supersymmetry
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