Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 52, No. 4 (2003), pp. 487-498 (12 pages) Rainfall data are often collected at coarser spatial scales than required for ...

Journal of Applied Probability, Vol. 15, No. 3 (Sep., 1978), pp. 502-513 (12 pages) For homogeneous, two-dimensional random field ξ(t),t ∈ R2 we develop the 'half' spectral theory sufficient to ...

Random walks constitute a fundamental model in probability theory, widely employed to elucidate diffusion processes and random fluctuations in disordered systems. The Gaussian free field (GFF) ...

Random fields and Gaussian processes constitute fundamental frameworks in modern probability theory and spatial statistics, providing robust tools for modelling complex dependencies over space and ...

In the first part of the course, we will start with an introduction to the Gaussian free field (GFF), which is an object which has been at the heart of some recent groundbreaking developments in ...