Fluctuations of the Increment of the Argument for the Gaussian Entire Function

Author:

Buckley JeremiahORCID,Sodin Mikhail

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference24 articles.

1. Breuer, P., Major, P.: Central limit theorems for nonlinear functionals of Gaussian fields. J. Multivar. Anal. 13(3), 425–441 (1983). doi: 10.1016/0047-259X(83)90019-2

2. Dalmao, F., Nourdin, I., Peccati, G., Rossi, M.: Phase Singularities in Complex Arithmetic Random Waves (2016). arXiv:1608.05631 [math.PR]

3. Diaconis, P., Evans, Steven N.: Linear functionals of eigenvalues of random matrices. Trans. Am. Math. Soc. 353(7), 2615–2633 (2001). doi: 10.1090/S0002-9947-01-02800-8

4. Feldheim, N.: Variance of the number of zeroes of shift-invariant Gaussian analytic functions (2015). arXiv:1309.2111 [math.PR]

5. Ghosh, S., Lebowitz, J.: Fluctuations, large deviations and rigidity in hyperuniform systems: a brief survey (2016). arXiv:1608.07496 [math.PR]

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