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Ising thermodynamics on the Sierpinski gasket

✍ Scribed by James H. Luscombe; Rashmi C. Desai


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
378 KB
Volume
108
Category
Article
ISSN
0375-9601

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What Is Not in the Domain of the Laplaci
✍ Oren Ben-Bassat; Robert S Strichartz; Alexander Teplyaev πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 223 KB

We consider the analog of the Laplacian on the Sierpinski gasket and related fractals, constructed by Kigami. A function f is said to belong to the domain of 2 if f is continuous and 2f is defined as a continuous function. We show that if f is a nonconstant function in the domain of 2, then f 2 is n