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Metrics on the Sierpinski carpet by weight functions
- Publication Year :
- 2018
-
Abstract
- We construct certain metrics on the Sierpinski carpet via a class of self-similar weight functions. Using these metrics and by applying known results, we obtain the two-sided sub-Gaussian heat kernel estimates of time change of the standard diffusion on the Sierpinski carpet with respect to self-similar measures. This proves a conjecture by Kigami.<br />Comment: 21 pages, 4 figures
- Subjects :
- Mathematics - Functional Analysis
28A80
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1806.02947
- Document Type :
- Working Paper