High Quality Content by WIKIPEDIA articles! In probability theory, Schramm–Loewner evolution, also known as stochastic Loewner evolution or SLE, is a conformally invariant stochastic process. It is a family of random planar curves that are generated by solving Charles Loewner's differential equation with Brownian motion as input. It was discovered by Oded Schramm (2000) as a conjectured scaling limit of the planar uniform spanning tree (UST) and the planar loop-erased random walk (LERW) probabilistic processes, and developed by him together with Greg Lawler and Wendelin Werner in a series of joint papers. Schramm–Loewner evolution is conjectured or proved to be the scaling limit of various critical percolation models, and other stochastic processes in the plane.

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