Title page for E-project-042705-143759

Project Type MQP

Submission date 2005-04-27

Authors
Jason Gronlund, MA
John William Hajeski, MA

URN E-project-042705-143759

Title Winkler Percolations

Advisor
Servatius, Brigitte, MA

Availability unrestricted

Abstract
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.

Files
percolator.exe
report.pdf

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Project Type	MQP
Submission date	2005-04-27
Authors	Jason Gronlund, MA John William Hajeski, MA
URN	E-project-042705-143759
Title	Winkler Percolations
Advisor	Servatius, Brigitte, MA
Availability	unrestricted
Abstract 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.
Files	percolator.exe report.pdf