期刊文献+

若干个齐次对称康托集的交

Intersection of Homogeneous Symmetric Cantor Set with Its Translations
原文传递
导出
摘要 Γ是齐次对称康托集,对n个实数t_1,…,t_n讨论了交集Γ∩(Γ+t_1)∩…∩(Γ+t_n)≠(?)的条件,以及计算出Γ∩(Γ+t_1)∩…∩(Γ+t_n)的Hausdorff维数的精确表达式. Let F be the homogeneous symmetric cantor set. For n real numberst1,..., tn, the condition for the intersectionГ∩(Г+t1)∩...∩(Г+tn)≠θ is discussed and the exact Hausdorff dimension ofГ∩(Г+t1)∩…∩(Г+tn)is computed.
作者 张云秀 顾惠
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2011年第6期1043-1048,共6页 Acta Mathematica Sinica:Chinese Series
基金 上海市自然科学基金项目(11ZR1410300) 南京林业大学科技创新基金项目(163101043)
关键词 齐次对称康托集 交集 莫朗集 homogeneous symmetric cantor set intersection Moran sets
  • 相关文献

参考文献1

二级参考文献39

  • 1G. MICHON ,J. PEYRIERE(University de Bourgogne, URA 755, BP 138, 21004 Dijon, dance.)(University de Paris-Sud, Centre d’Orsayl URA 757, 91405 Orsayt dance.).THERMODYNAMIQUE DES ENSEMBLES DE CANTOR AUTOSIMILAIRES (THERMODYNAMICS OF SELF-SIMILAR CANTOR SETS)[J].Chinese Annals of Mathematics,Series B,1994,15(3):253-272. 被引量:1
  • 2华苏.广义自相似集的维数研究[J].应用数学学报,1994,17(4):551-558. 被引量:33
  • 3Su Hua,Hui Rao,Zhiying Wen,Jun Wu.On the Structures and dimensions of Moran sets[J]. Science in China Series A: Mathematics . 2000 (8)
  • 4Richard Kenyon.Projecting the one-dimensional Sierpinski gasket[J]. Israel Journal of Mathematics . 1997 (1)
  • 5Dejun Feng,Zhiying Wen,Jun Wu.Some dimensional results for homogeneous Moran sets[J]. Science in China Series A: Mathematics . 1997 (5)
  • 6Yakov Pesin,Howard Weiss.On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle Conjecture[J]. Communications in Mathematical Physics . 1996 (1)
  • 7Matthias Arbeiter.Random recursive construction of self-similar fractal measures. The noncompact case[J]. Probability Theory and Related Fields . 1991 (4)
  • 8Siegried Graf.Statistically self-similar fractals[J]. Probability Theory and Related Fields . 1987 (3)
  • 9Bedford,T.Applications of dynamical systems to fractal——Astudy of cookie-cutter Cantor sets. Fractal Geometry and Analysis . 1991
  • 10Liu Yanyan.Some studies of random fractals. . 2001

共引文献20

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部