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Global properties of stochastic Loewner evolution driven by Lévy processes

2008
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Journal of Statistical Mechanics: Theory and Experiment
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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 L\'evy process). We then discussed the small-scale properties of the resulting L\'evy-SLE

doi:10.1088/1742-5468/2008/01/p01019
fatcat:uoreonfhlvcnrpqh36d6fdmnoq