Notes on oriented percolation
Mark Holmes, Thomas S. Salisbury
TL;DR
This paper provides supplementary results on oriented percolation, adapting existing findings to a specific model relevant for studying forward clusters in degenerate random environments.
Contribution
It offers tailored modifications of known oriented percolation results for a particular model used in degenerate random environment analysis.
Findings
Results adapted for the specific percolation model.
Clarifications on oriented percolation properties.
Foundational results for further research.
Abstract
These notes fill in results about oriented percolation that are required for the paper [3] ("Forward clusters for degenerate random environments"). Since these are essentially modifications of results found in other sources (but adapted to the model we particularly need), there is no intention to publish these.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Bayesian Methods and Mixture Models · Random Matrices and Applications