Some sojourn time problems for 2-dimensional Gaussian processes (Q1076416)

This paper treats the asymptotic distribution of the occupation time measure of a 2-dimensional mean stationary Gaussian process within centred ellipses and annuli. The covariance is assumed to behave like \(t^{-\alpha}L(t)\) as \(t\to \infty\) where L is slowly varying. The limit law is non-normal and involves the Rosenblatt process.