论文标题

在多个多曲线模型中配对概率的新计算

A new computation of pairing probabilities in several multiple-curve models

论文作者

Karrila, Alex

论文摘要

我们为关键ISING模型,谐波探险器和高斯自由场的多个级别线中的多个弦界接口进行了新的,简短的配对概率计算。该论点的核心是局部多重SLE $(κ)$测量的凸度和唯一性能,对所有$κ> 0 $有效,因此原则上适用于任何基本的随机曲线模型,一旦适当地连接到局部多个SLES。

We give a new, short computation of pairing probabilities for multiple chordal interfaces in the critical Ising model, the harmonic explorer, and for multiple level lines of the Gaussian free field. The core of the argument are the convexity and uniqueness properties of local multiple SLE$(κ)$ measures, valid for all $κ> 0$ and thus in principle applicable for any underlying random curve model, once suitably connected to local multiple SLEs.

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