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一类广义Sierpinski地毯的Huasdorff维数
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O174.12[理学—数学;理学—基础数学]
  • 作者机构：[1]华中科技大学数学与统计学院,湖北武汉430074
  • 相关基金：基金项目：国家自然科学基金（10631040）
作者： 朱志勇[1], 文志雄[1]
关键词： 广义Sierpinski地毯, 完备度量空间, Huasdorff维数, General Sierpinski carpet , Complete metric space, Huasdorff dimension
中文摘要：

通过在任意给定的凸四边形和三角形上构造一个不同于通常欧氏度量的度量，证明了如果把构造经典Sierpinski地毯的初始图形正方形换成任意一个凸四边形或者三角形，则得到的广义Sierpinski地毯与经典的Sierpinski地毯具有相同的Hausdorff维数．

英文摘要：

In this paper, we show that the general Sierpinski carpets with initial convex quadrilateral patterns and triangle patterns and the classical Sierpinski carpet have same Hausdorff dimension by constructing a metric that is distinct to Euclidean metric.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
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  • 被引量:4139