子自相似集合的Hausdorff维数
자자상사집합적Hausdorff유수
Hausdorff Dimension of Sub-self-similar Sets
  • 万方数据
    中国科学技术大学学报 중국과학기술대학학보
    JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA
    2004年 5期 535-542 ,共8页

    陈二才%熊金城

    진이재%웅금성

    子自相似集%开集条件%Hausdorff维数%符号动力系统 子自相似集%開集條件%Hausdorff維數%符號動力繫統
    자자상사집%개집조건%Hausdorff유수%부호동력계통
    sub-self-similar set%the open set condition%Hausdorff dimension%symbolic dynamics
    应用符号动力系统,讨论了由Falconer定义的子自相似集的Hausdorff维数的连续性,得到了子自相似集的Hausdorff维数和盒维数的新公式.
    응용부호동력계통,토론료유Falconer정의적자자상사집적Hausdorff유수적련속성,득도료자자상사집적Hausdorff유수화합유수적신공식.
    In this paper, using symbolic dynamics, we study the continuity of the Hausdorff dimension of sub-self-similar sets introduced by K.Falconer. A new formula for their Hausdorff and box dimensions is obtained.
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