Coupling of stationary fields with application to arithmetic waves
In this paper we obtain a range of quantitative results of the following type: given two centred Gaussian fields with close covariance kernels we construct a coupling such that the fields are uniformly close on some compact with probability very close to one. As an application we show that it is pos...
| Những tác giả chính: | , |
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| Định dạng: | Journal article |
| Ngôn ngữ: | English |
| Được phát hành: |
Elsevier
2022
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| Tóm tắt: | In this paper we obtain a range of quantitative results of the following type: given two centred Gaussian fields with close covariance kernels we construct a coupling such that the fields are uniformly close on some compact with probability very close to one. As an application we show that it is possible to couple arithmetic random waves so that they converge locally uniformly to the random plane wave and estimate the rate of convergence.
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