The Random Cluster Model is a mathematical model used primarily in statistical physics and probability theory to study statistical properties of systems exhibiting phase transitions. It is particularly relevant for understanding percolation, critical phenomena, and other related concepts in network theory and social dynamics. ### Basic Concepts: 1. **Clusters**: In the context of the model, a "cluster" refers to a group of connected nodes or sites in a network or lattice.
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On a finite graph, the random-cluster model assigns an edge configuration probability proportional towhere count open edges, closed edges, and open connected components.