The winding of stationary Gaussian processes

Author:

Buckley Jeremiah,Feldheim Naomi

Funder

European Research Council

National Science Foundation

United States-Israel Binational Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference35 articles.

1. Adler, R.J., Taylor, J.E.: Random Fields and Geometry. Springer Monographs in Mathematics. Springer, Berlin (2007)

2. Azaïs, Jean-Marc, León, José R.: CLT for crossings of random trigonometric polynomials. Electron. J. Probab. 18(68), 17 (2013). https://doi.org/10.1214/EJP.v18-2403

3. Buckley, J., Sodin, M.: Fluctuations of the increment of the argument for the Gaussian entire function, J. Stat. Phys. (To appear) available online

4. Cramér, H., Leadbetter, M.R.: Stationary and related stochastic processes: sample function properties and their applications, Dover publications (2004) (first publised in 1967 by Wiley series)

5. Cuzick, J.: A central limit theorem for the number of zeros of a stationary Gaussian process. Ann. Probab. 4, 547–556 (1976)

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2. Winding number for stationary Gaussian processes using real variables;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2023-08-01

3. Variance linearity for real Gaussian zeros;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2022-11-01

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