Das, Sayan ; Hazra, Rajat Subhra (2019) Extremal process of the zero-average Gaussian free field ford≥3 Statistics & Probability Letters, 146 . pp. 42-49. ISSN 0167-7152
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Official URL: http://doi.org/10.1016/j.spl.2018.10.020
Related URL: http://dx.doi.org/10.1016/j.spl.2018.10.020
Abstract
We consider the Gaussian free field on the torus whose covariance kernel is given by the zero-average Green’s function. We show that for dimension , the extremal point process associated with this field converges weakly to a Poisson random measure. As an immediate corollary the maxima of the field converges after appropriate centering and scaling to the Gumbel distribution.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Gaussian Free Field On Torus; Zero-Average Green’s Function; Random Interface; Extremes. |
| ID Code: | 121162 |
| Deposited On: | 12 Jul 2021 08:21 |
| Last Modified: | 12 Jul 2021 08:21 |
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