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.
Worcester Polytechnic Institute
Major Qualifying Project