Basu, Riddhipratim ; Dembo, Amir ; Feldheim, Naomi ; Zeitouni, Ofer (2018) Exponential concentration for zeroes of stationary gaussian processes International Mathematics Research Notices, 2020 (23). pp. 9769-9796. ISSN 1073-7928
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Official URL: https://doi.org/https://doi.org/10.1093/imrn/rny27...
Related URL: http://dx.doi.org/https://doi.org/10.1093/imrn/rny277
Abstract
We show that for any centered stationary Gaussian process of absolutely integrable covariance, whose spectral measure has compact support, or finite exponential moments (and some additional regularity), the number of zeroes of the process in [0, T] is within ηT of its mean value, up to an exponentially small in T probability.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Oxford University Press. |
| ID Code: | 142009 |
| Deposited On: | 30 Dec 2025 10:43 |
| Last Modified: | 30 Dec 2025 10:43 |
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