Gibbs Measure

A Gibbs measure is a mathematical way to describe the probabilities of different configurations or states in a system, especially in contexts like physics or statistics. It assigns likelihoods based on how "energy-like" properties of each state behave, favoring more stable or lower-energy configurations. Think of it as a rule that says, "The more stable or balanced a state is, the more likely it is to occur." This framework helps analyze complex systems where many possibilities exist, capturing the tendency toward equilibrium and understanding how local interactions influence overall behavior.