Multiscale Gaussian Random Fields and Their Application to Cosmological Simulations

This paper describes the generation of Gaussian random fields with multiple levels of resolution. We present the theory of adaptive mesh refinement of Gaussian random fields followed by the implementation and testing of a computer code package performing this refinement called ``GRAFIC2.'' This package is available to the computational cosmology community at http://arcturus.mit.edu/grafic/ or by e-mail from the author.