Martin boundary and exit space on the Sierpinski gasket
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 define a new Markov chain on the symbolic space representing the Sierpinski gasket (SG), and show that the corresponding Martin boundary is homeomorphic to the SG while the minimal Martin boundary is the three vertices of the SG. In addition, the harmonic structure induced by the Markov chain coincides with the canonical one on the SG. This suggests another approach to consider the existence of Laplacians on those self-similar sets for which the problem is still not settled.
著者Lau KS, Ngai SM
期刊名稱Science China Mathematics
出版年份2012
月份3
日期1
卷號55
期次3
出版社Springer Verlag (Germany)
頁次475 - 494
國際標準期刊號1674-7283
電子國際標準期刊號1869-1862
語言英式英語
關鍵詞fractal; Green function; harmonic function; Markov chain; Martin boundary; Sierpinski gasket
Web of Science 學科類別Mathematics; MATHEMATICS; Mathematics, Applied; MATHEMATICS, APPLIED

上次更新時間 2021-23-02 於 00:37