...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Some results on the statistics of hull perimeters in large planar triangulations and quadrangulations
【24h】

Some results on the statistics of hull perimeters in large planar triangulations and quadrangulations

机译：关于大型平面三角形和四边形的船体周长统计的一些结果

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The hull perimeter at distance d in a planar map with two marked vertices at distance k from each other is the length of the closed curve separating these two vertices and lying at distance d from the first one (d < k). We study the statistics of hull perimeters in large random planar triangulations and quad-rangulations as a function of both k and d. Explicit expressions for the probability density of the hull perimeter at distance d, as well as for the joint probability density of hull perimeters at distances d(1) and d(2), are obtained in the limit of infinitely large k. We also consider the situation where the distance d at which the hull perimeter is measured corresponds to a finite fraction of k. The various laws that we obtain are identical for triangulations and for quad-rangulations, up to a global rescaling. Our approach is based on recursion relations recently introduced by the author which determine the generating functions of so-called slices, i.e. pieces of maps with appropriate distance constraints. It is indeed shown that the map decompositions underlying these recursion relations are intimately linked to the notion of hull perimeters and provide a simple way to fully control them.
机译：平面图中距离d处的船体周长，其中两个标记的顶点彼此之间的距离为k，这是将这两个顶点分开并与第一个顶点相距d的闭合曲线的长度（d

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号