The Gaussian Free Field and SLE4on Doubly Connected Domains
β Scribed by Christian Hagendorf; Denis Bernard; Michel Bauer
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 757 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0022-4715
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The first Dirichlet eigenvalue for the Laplace operator of a doubly connected plane domain varies with the relative position of the inner hole. Under certain mild hypothesis it decreases as the two boundary curves get closer along some specific direction. We made this observation by ana
## Abstract A highly accurate new solver is developed to deal with the Dirichlet problems for the 2D Laplace equation in the doubly connected domains. We introduce two circular artificial boundaries determined uniquely by the physical problem domain, and derive a Dirichlet to Dirichlet mapping on t