| 带形区域上SLE壳的性质 |
| |
| 引用本文： | 田爽爽,蓝师义. 带形区域上SLE壳的性质[J]. 高校应用数学学报(A辑), 2016, 0(4): 451-460. DOI: 10.3969/j.issn.1000-4424.2016.04.007 |
| |
| 作者姓名： | 田爽爽 蓝师义 |
| |
| 作者单位： | 广西民族大学理学院,广西南宁,530006 |
| |
| 基金项目： | 国家自然科学基金(11161004;11661011)，广西自然科学基金(2013GXNSFAA019015;2016GXNS-FAA380099)，广西民族大学研究生创新计划(gxun-chx0880) |
| |
| 摘 要： | 利用带形区域上SLE的性质与Schwarz反射原理,讨论了带形区域上SLE壳的性质.给出了R-对称共形映射与带形区域内壳的关系;得到了带形区域内由一对不相交的壳组成集合与Loewner共形映射之间的关系;导出了R-对称共形映射的提升在带形区域的壳空间内以及带形区域的壳对空间上的相关映射是连续.这就将上半平面上SLE壳的有关性质推广到了带形区域的情形.
|
| 关 键 词： | Loewner方程 SLE 壳 共形映射 |
The properties of SLE hull in the strip region |
| |
| Abstract: | In this paper, the properties of SLE hull in the strip region are discussed by using the properties of strip SLE and Schwarz reflection principe. The relation between R-symmetric conformal mappings and hulls in the strip region is given. The relationship between the set which consists of a pair of disjoint hulls and Loewner conformal mappings is obtained. It is derived that the lift of a R-symmetric conformal mapping is continuous in the space of hulls in the strip region, and that some related mappings are continuous in the corresponding space of hulls, too. This generalizes the related properties of SLE hull in the upper half-plane to the case of strip region. |
| |
| Keywords: | Loewner equation SLE hull conformal mapping |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
