# A turning bands method for simulating isotropic Gaussian random fields on the sphere

Emery, Xavier; Furrer, Reinhard; Porcu, Emilio (2019). A turning bands method for simulating isotropic Gaussian random fields on the sphere. Statistics and Probability Letters, 144:9-15.

## Abstract

We introduce a novel approach to simulate Gaussian random fields defined over spheres of $\mathbb{R}^3$ . Through continuation we embed the process on the sphere in a nonstationary random field of $\mathbb{R}^3$ to use a turning bands method. We also discuss the approximation accuracy.

## Abstract

We introduce a novel approach to simulate Gaussian random fields defined over spheres of $\mathbb{R}^3$ . Through continuation we embed the process on the sphere in a nonstationary random field of $\mathbb{R}^3$ to use a turning bands method. We also discuss the approximation accuracy.

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