给定上半平面内的一个固定点,获得通弦SLEk(0≤K〈8)迹穿过它右边的概率估计公式.基于左边界概率的结果,建立了闭单位圆内临界渗流不包含其内一个固定点的概率估计公式.最后,利用探索过程与SLE6的关系,得到了起点和终点相同的SLE6迹与自避型路径有同样的分布.
This paper derived the probability formula for a chordal SLEk trace across a given point in upper half plane IHI. And on the basis of the left-passage probability, established the probability formula for a critical percolation in a closed unit circle without a given point. Finally, according to the relationship of exploration process and SLE6, got that with the same starting and ending point, the trace of SLE6 has the same distribution of self-avoiding walk.