{"title":"不使用扩散法测定Sierpiński垫片的行走尺寸","authors":"A. Grigor’yan, Meng Yang","doi":"10.4171/JFG/66","DOIUrl":null,"url":null,"abstract":"We determine the walk dimension of the Sierpinski gasket without using diffusion. We construct non-local regular Dirichlet forms on the Sierpinski gasket from regular Dirichlet forms on the Sierpinski graph whose suitable boundary is the Sierpinski gasket.","PeriodicalId":48484,"journal":{"name":"Journal of Fractal Geometry","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2016-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/JFG/66","citationCount":"12","resultStr":"{\"title\":\"Determination of the walk dimension of the Sierpiński gasket without using diffusion\",\"authors\":\"A. Grigor’yan, Meng Yang\",\"doi\":\"10.4171/JFG/66\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We determine the walk dimension of the Sierpinski gasket without using diffusion. We construct non-local regular Dirichlet forms on the Sierpinski gasket from regular Dirichlet forms on the Sierpinski graph whose suitable boundary is the Sierpinski gasket.\",\"PeriodicalId\":48484,\"journal\":{\"name\":\"Journal of Fractal Geometry\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2016-10-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.4171/JFG/66\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Fractal Geometry\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4171/JFG/66\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Fractal Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/JFG/66","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Determination of the walk dimension of the Sierpiński gasket without using diffusion
We determine the walk dimension of the Sierpinski gasket without using diffusion. We construct non-local regular Dirichlet forms on the Sierpinski gasket from regular Dirichlet forms on the Sierpinski graph whose suitable boundary is the Sierpinski gasket.
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