论文标题
N面径向schramm-loewner进化
N-sided Radial Schramm-Loewner Evolution
论文作者
论文摘要
我们将对Schramm-loewner进化的解释用作循环术语倾斜的路径限制，以激发$ n $ - 利种SLE的定义，将其定义为特定点。为了证明该定义是合理的，我们证明，在$ n $ tuplass上，通过适当归一化的循环术语获得的措施具有限制。限制度量可以描述为通过dyson Brownian Motion的驾驶术语移动的$ N $路径。虽然以前已经考虑过限制过程，但本文表明了为什么自然出现是从环措施获得的配置度量的限制。
We use the interpretation of the Schramm-Loewner evolution as a limit of path measures tilted by a loop term in order to motivate the definition of $n$-radial SLE going to a particular point. In order to justify the definition we prove that the measure obtained by an appropriately normalized loop term on $n$-tuples of paths has a limit. The limit measure can be described as $n$ paths moving by the Loewner equation with a driving term of Dyson Brownian motion. While the limit process has been considered before, this paper shows why it naturally arises as a limit of configurational measures obtained from loop measures.
