𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Voter model on Sierpinski fractals

✍ Scribed by Krzysztof Suchecki; Janusz A. Hołyst

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
343 KB
Volume
362
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Taylor Approximations on Sierpinski Gask
Taylor Approximations on Sierpinski Gasket Type Fractals
✍ Robert S. Strichartz 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 376 KB

For a class of fractals that includes the familiar Sierpinski gasket, there is now a theory involving Laplacians, Dirichlet forms, normal derivatives, Green's functions, and the Gauss Green integration formula, analogous to the theory of analysis on manifolds. This theory was originally developed as

What Is Not in the Domain of the Laplaci
What Is Not in the Domain of the Laplacian on Sierpinski Gasket Type Fractals
✍ Oren Ben-Bassat; Robert S Strichartz; Alexander Teplyaev 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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