Stable Diffusion is a mathematical model that helps us understand how particles or entities move and spread in a given medium. It accounts for both time and space, assuming that these particles move randomly, but are influenced by the movement of all other particles. 

The model is designed to handle different distributions of particle movement, including long-tailed distributions that are common in real-world situations. It has many applications in fields like physics, finance, and meteorology, helping researchers predict the spread of information, disease, pollution, and other phenomena.
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