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Self‐similar structure on intersection of homogeneous symmetric Cantor sets
Author(s) -
Li Wenxia,
Yao Yuanyuan,
Zhang Yunxiu
Publication year - 2011
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710104
Subject(s) - mathematics , intersection (aeronautics) , homogeneous , cantor set , iterated function , iterated function system , combinatorics , set (abstract data type) , pure mathematics , mathematical analysis , fractal , computer science , engineering , programming language , aerospace engineering
For a homogeneous symmetric Cantor set C , we consider all real numbers t such that the intersection C ∩( C + t )is a self‐similar set and investigate the form of the corresponding iterated function systems. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim