%0 Journal Article %T Modeling and simulation with operator scaling %A Serge Cohen %A Mark M. Meerschaert %A Jan Rosinski %J Mathematics %D 2009 %I arXiv %X Self-similar processes are useful in modeling diverse phenomena that exhibit scaling properties. Operator scaling allows a different scale factor in each coordinate. This paper develops practical methods for modeling and simulating stochastic processes with operator scaling. A simulation method for operator stable Levy processes is developed, based on a series representation, along with a Gaussian approximation of the small jumps. Several examples are given to illustrate practical applications. A classification of operator stable Levy processes in two dimensions is provided according to their exponents and symmetry groups. We conclude with some remarks and extensions to general operator self-similar processes. %U http://arxiv.org/abs/0912.4784v1