双边通弦SLE_(2)的自然参数化

The Natural Parametrization of Two-sided Chordal SLE_(2)

SLE_(κ)是由Schramm引入的一族带有参数κ的随机共形映射,它可以用来描述统计物理上的一些模型的尺度极限.可以通过两内点局部鞅来构造多点格林函数,进而实现径向SLE_(2)的自然参数化,在其基础上,给出了双边通弦SLE2的自然参数化.

SLE_(κ)introuduced by Oded Schramm is a family of random conformal maps with one parameter,we can describe the scale limits of some models in statistical physics.The natural parameterization of the radial direction can be constructed by constructing a multi-point Greens function through two interior point local martin-gales.Based on this,this paper further provides the natural parametrization of two-sided chordal SLE_(2).