ANISOTROPIC SCALING OF RANDOM FIELDS WITH LONG-RANGE DEPENDENCE: SCALING LIMITS OF RANDOM FIELDS WITH APPLICATIONS

Anisotropic Scaling of Random Fields with Long-Range Dependence is primarily interested in two questions: are there scaling limits for all γ>0 ratios? And if so, what are they? By introducing the concept of a scaling transition and discussing its existence for Gaussian models, moving-average models, and their subordinated planar models, the very cutting-edge of research and theory within scaling transition is explored, interrogated, and understood.If a scaling parameter tends to zero or inf...