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Winkler Percolations

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Winkler 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.
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  • E-project-042705-143759
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  • 2005
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  • 2005-04-27
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