Student Work
Winkler Percolations
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open in viewerWinkler percolations, also known as coordinate percolations, are digraphs generated by random 0-1 sequences. The percolation's nature is determined by the frequency of 1's in the sequences, governed by a fixed probability p of occurrence. An open question is at what p is the completeness of the percolation no longer ensured. We look into this question using a combinatorial study of small finite examples, and the self-similarity of this model is analyzed using methods of renormalization group theory.
- This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.
- Creator
- 贡献者
- Publisher
- Identifier
- E-project-042705-143759
- Advisor
- Year
- 2005
- Date created
- 2005-04-27
- Resource type
- Major
- Rights statement
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