The Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroes
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Publication:1006311
DOI10.1007/s00220-008-0646-7zbMath1221.30008arXiv0707.3863OpenAlexW3103589275MaRDI QIDQ1006311
Alexander Volberg, F. L. Nazarov, Mikhail Sodin
Publication date: 20 March 2009
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.3863
Gaussian processes (60G15) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Distribution theory (60E99) Random power series in one complex variable (30B20)
Related Items (10)
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 ⋮ Point processes, hole events, and large deviations: random complex zeros and Coulomb gases ⋮ Analytic Gaussian functions in the unit disc: probability of zeros absence ⋮ A sprinkled decoupling inequality for Gaussian processes and applications ⋮ The forbidden region for random zeros: Appearance of quadrature domains ⋮ Correlation functions for random complex zeroes: Strong clustering and local universality ⋮ Fluctuations, large deviations and rigidity in hyperuniform systems: a brief survey ⋮ Rigidity of the three-dimensional hierarchical Coulomb gas ⋮ Quasi-independence for nodal lines
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- Chaotic analytic zero points: exact statistics for those of a random spin state
- Exact statistical properties of the zeros of complex random polynomials
- Distribution of roots of random polynomials
- Statistical Ensembles of Complex, Quaternion, and Real Matrices
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