 This allowed derivation of many quantitative properties of loop-erased random walk (some of which were derived earlier by Richard Kenyon).The related random Peano curve outlining the uniform spanning tree was shown to converge to SLE8.Rohde and Schramm showed that "κ" is related to the fractal dimension of a curve by the following relation

Computer programs (Matlab) are presented in this github repository to simulate Schramm Loewner Evolution planar curves.