抄録
We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a generalized Sierpiński carpet that is invariant with respect to the local symmetries of the carpet. Consequently, for each such fractal the law of Brownian motion is uniquely determined and the Laplacian is well defined.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 655-701 |
| ページ数 | 47 |
| ジャーナル | Journal of the European Mathematical Society |
| 巻 | 12 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 2010 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学