# High minima of non-smooth Gaussian processes

@article{Wu2019HighMO, title={High minima of non-smooth Gaussian processes}, author={Zhixin Wu and Arijit Chakrabarty and Gennady Samorodnitsky}, journal={Electronic Communications in Probability}, year={2019} }

In this short note we study the asymptotic behaviour of the minima over compact intervals of Gaussian processes, whose paths are not necessarily smooth. We show that, beyond the logarithmic large deviation Gaussian estimates, this problem is closely related to the classical small-ball problem. Under certain conditions we estimate the term describing the correction to the large deviation behaviour. In addition, the asymptotic distribution of the location of the minimum, conditionally on the… Expand

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Large Deviations for High Minima of Gaussian Processes with Nonnegatively Correlated Increments

- Mathematics
- 2021

In this article we prove large deviations principles for high minima of Gaussian processes with nonnegatively correlated increments on arbitrary intervals. Furthermore, we prove large deviations… Expand

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