Lipschitz equivalence of self-similar sets and hyperbolic boundaries
Publication in refereed journal


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其它資訊
摘要Kaimanovich (2003) [9] introduced the concept of augmented tree on the symbolic space of a self-similar set. It is hyperbolic in the sense of Gromov, and it was shown by Lau and Wang (2009) [12] that under the open set condition, a self-similar set can be identified with the hyperbolic boundary of the tree. In the paper, we investigate in detail a class of simple augmented trees and the Lipschitz equivalence of such trees. The main purpose is to use this to study the Lipschitz equivalence problem of the totally disconnected self-similar sets which has been undergoing some extensive development recently. (C) 2012 Elsevier Inc. All rights reserved.
著者Luo JJ, Lau KS
期刊名稱Advances in Mathematics
出版年份2013
月份3
日期1
卷號235
出版社ACADEMIC PRESS INC ELSEVIER SCIENCE
頁次555 - 579
國際標準期刊號0001-8708
電子國際標準期刊號1090-2082
語言英式英語
關鍵詞Augmented tree; Hyperbolic boundary; Incidence matrix; Lipschitz equivalence; OSC; Primitive; Rearrangeable; Self-affine set; Self-similar set
Web of Science 學科類別Mathematics; MATHEMATICS

上次更新時間 2021-01-03 於 00:15