✦ LIBER ✦
Energy forms on conformal C1-diffeomorphic images of the Sierpinski gasket
✍ Scribed by Uta Renata Freiberg; Maria Rosaria Lancia
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 187 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The energy form on a conformal C^1^‐diffeomorphic image G of the Sierpinski gasket K is constructed by integrating the Lagrangian LG on G, which is given in terms of the pullback of the Lagrangian LK on K and of the differential of the diffeomorphism. The extension of this approach to the class of nested fractals is outlined. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)