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arXiv · 1709.06760

Exponential concentration for zeroes of stationary Gaussian processes

Riddhipratim Basu·Amir Dembo·Naomi Feldheim·Ofer Zeitouni
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Abstract

We show that for any centered stationary Gaussian process of 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 $\eta T$ of its mean value, up to an exponentially small in $T$ probability.

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Riddhipratim Basu, Amir Dembo, Naomi Feldheim, Ofer Zeitouni. 2017-09-20. Exponential concentration for zeroes of stationary Gaussian processes. https://arxiv.org/abs/1709.06760

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