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.

Creator

• Larsen, John Joseph
• Gronlund, Jason Alan

Contributors

• Winkler, Peter

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-042705-143759

Advisor

• Servatius, Brigitte

Year

• 2005

Date created

• 2005-04-27

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright

License

• All rights reserved