Dimensions of cookie-cutter-like sets  

作　　者：马际华 饶辉 文志英 

机构地区：[1]Laboratory of Pure and Applied Mathematics, Wuhan University, Wuhan 430072, China [2]Department of Mathematics, Tsinghua University, Beijing 100084, China

出　　处：《Science China Mathematics》2001年第11期1400-1412,共13页中国科学：数学（英文版）

基　　金：the Special Funds for Major State Basic Research Projects.

摘　　要：The cookie-cutter-like sets are defined as the limit sets of a sequence of classical cookiecutter mappings. By introducing Gibbs-like measures, we study the dimensions, Hausdorff and packing measures of the CC-like sets, and then discuss the continuous dependence of the dimensions.The cookie-cutter-like sets are defined as the limit sets of a sequence of classical cookie-cutter mappings. By introducing Gibbs-like measures, we study the dimensions, Hausdorff and packing measures of the CC-like sets, and then discuss the continuous dependence of the dimensions.

关 键 词：cookie-cutter-like sets Gibbs-like measures predimensions 

分 类 号：O189.1[理学—数学]