Gibbs Measures are a type of probability measure used in statistical mechanics and probability theory to describe the distribution of states in a system at thermal equilibrium. They are named after the physicist Josiah Willard Gibbs and are particularly useful for systems with many interacting components, such as particles in a gas or spins in a magnetic material. In a Gibbs Measure, the probability of a particular configuration depends on the energy of that configuration and a temperature parameter. This relationship is often expressed using the Boltzmann distribution, where lower energy states are more likely to occur than higher energy states, allowing for the analysis of complex systems in a mathematically rigorous way.