条件化SLE和循环擦除随机游动
Conditioning SLEs and loop erased random walks
摘要：
讨论了条件作用下偶极SLE（k）的性质。我们表明，k=2，它描述了连续极限的循环擦除随机游动，其特征在于作为唯一的k值，使偶极SLE的条件，停止在一个区间上的偶极SLE的时间间隔相吻合。我们通过计算SLE（2）的一个新的整体通过概率来说明这一性质。
英文摘要：
We discuss properties of dipolar SLE(k) under conditioning. We show that k=2, which describes continuum limits of loop erased random walks, is characterized as being the only value of k such that dipolar SLE conditioned to stop on an interval coincides with dipolar SLE on that interval. We illustrate this property by computing a new bulk passage probability for SLE(2).
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