Global properties of Stochastic Loewner evolution driven by Lévy processes

@inproceedings{Oikonomou2007GlobalPO,
  title={Global properties of Stochastic Loewner evolution driven by L{\'e}vy processes},
  author={Panos Oikonomou and Ilia Rushkin and Ilya A. Gruzberg and Leo P. Kadanoff},
  year={2007}
}
Standard Schramm-Loewner evolution (SLE) is driven by a continuous Brownian motion which then produces a trace, a continuous fractal curve connecting the singular points of the motion. If jumps are added to the driving function, the trace branches. In a recent publication [1] we introduced a generalized SLE driven by a superposition of a Brownian motion and a fractal set of jumps (technically a stable Lévy process). We then discussed the small-scale properties of the resulting Lévy-SLE growth… CONTINUE READING