A CLT concerning critical points of random functions on a Euclidean space
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DOI: 10.1016/j.spa.2017.02.009
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References listed on IDEAS
- Nourdin, Ivan & Peccati, Giovanni & Podolskij, Mark, 2011.
"Quantitative Breuer-Major theorems,"
Stochastic Processes and their Applications, Elsevier, vol. 121(4), pages 793-812, April.
- Ivan Nourdin & Giovanni Peccati & Mark Podolskij, 2010. "Quantitative Breuer-Major Theorems," CREATES Research Papers 2010-22, Department of Economics and Business Economics, Aarhus University.
- Kratz, Marie F. & León, JoséR., 1997. "Hermite polynomial expansion for non-smooth functionals of stationary Gaussian processes: Crossings and extremes," Stochastic Processes and their Applications, Elsevier, vol. 66(2), pages 237-252, March.
- Breuer, Péter & Major, Péter, 1983. "Central limit theorems for non-linear functionals of Gaussian fields," Journal of Multivariate Analysis, Elsevier, vol. 13(3), pages 425-441, September.
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Cited by:
- Azaïs, Jean-Marc & Delmas, Céline, 2022. "Mean number and correlation function of critical points of isotropic Gaussian fields and some results on GOE random matrices," Stochastic Processes and their Applications, Elsevier, vol. 150(C), pages 411-445.
- Muirhead, Stephen, 2020. "A second moment bound for critical points of planar Gaussian fields in shrinking height windows," Statistics & Probability Letters, Elsevier, vol. 160(C).
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Keywords
Gaussian random functions; Critical points; Wiener chaos; Gaussian random matrices; Central limit theorem;All these keywords.
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