Self-similar Sets as Hyperbolic Boundaries
Publication in refereed journal

香港中文大學研究人員

引用次數
替代計量分析
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其它資訊
摘要We show that, for an iterated function system {S(j)}(j=1)(N), of similitudes that satisfies the open set condition, there is a natural graph structure in the representing symbolic space to make it a hyperbolic graph, and the hyperbolic boundary is homeomorphic to the self-similar set generated by {S(j)}(j=1)(N).
著者Lau KS, Wang XY
期刊名稱Indiana University Mathematics Journal
出版年份2009
月份1
日期1
卷號58
期次4
出版社INDIANA UNIV MATH JOURNAL
頁次1777 - 1795
國際標準期刊號0022-2518
語言英式英語
關鍵詞boundary; geodesic ray; hyperbolic graph; iterated function system; open set condition; self-similar sets
Web of Science 學科類別Mathematics; MATHEMATICS

上次更新時間 2021-08-03 於 00:17