Large deviations of Gaussian random functions (original) (raw)

A random function – of either one variable (a random process), or two or more variables(a random field) – is called Gaussian if every finite-dimensional distribution is a multivariate normal distribution. Gaussian random fields on the sphere are useful (for example) when analysing * the anomalies in the cosmic microwave background radiation (see, pp. 8–9); * brain images obtained by positron emission tomography (see, pp. 9–10).