BD HUGHES, EW MONTROLL, MF SHLESINGER
JOURNAL OF STATISTICAL PHYSICS | SPRINGER | Published : 1982
We consider a class of random walks (on lattices and in continuous spaces) having infinite mean-squared displacement per step. The probability distribution functions considered generate fractal self-similar trajectories. The characteristic functions (structure functions) of the walks are nonanalytic functions and satisfy scaling equations. © 1982 Plenum Publishing Corporation.