Bewket, Damtew (2011) A Graduate Project Report on Percolation Theory. Masters thesis, Addis Ababa University.
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Abstract
This project is about the formulation and main theorems of percolation theory. It was introduced by Broadbent and Hamersley as a model for the flow of fluids in porous media and it is primarily concerned with the existence of open paths called open clusters. The project mainly focuses on the bond percolation, which is defined on the d-dimensional lattice. In this project, percolation probability and critical threshold are defined and some basic tools such as the FKG Inequality, the BK Inequality and the Russo’s Formula are mentioned. In addition to this, the uniqueness of the infinite open cluster containing the origin and the exponential decay of the radius of the mean cluster size are also discussed.
| Item Type: | Thesis (Masters) |
|---|---|
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Africana |
| Depositing User: | Selom Ghislain |
| Date Deposited: | 25 Sep 2018 12:43 |
| Last Modified: | 25 Sep 2018 12:43 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/5653 |
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