 Schramm–Loewner evolution

Chordal Schramm–Loewner evolution in the complex upper half-plane from $0$ to $\infty$ is the random Loewner chain driven by $U_t=\sqrt{\kappa }{B}_t$, where $B$ is standard Brownian motion and $\kappa \ge 0$.

Schramm–Loewner evolution (SLE) is a mathematical framework used to describe certain conformally invariant processes in statistical physics and complex analysis. It was introduced by Oded Schramm in 2000 as a method for understanding the scaling limits of random planar processes, such as percolation, random walks, and the interfaces of various models in statistical mechanics.