Stable diffusion refers to a type of stochastic process that models the movement of particles or agents in a medium over time. In stable diffusion, the particle or agent moves randomly, but with a specific degree of stability in its movement, characterized by a stable distribution.

A stable distribution is a probability distribution that exhibits certain stability properties, such as a scale-invariance and heavy tails, meaning that extreme events occur more frequently than in a normal distribution. These properties are useful in modeling complex systems where randomness and extreme events are important, such as in finance, meteorology, and physics.

In summary, stable diffusion is a mathematical model that describes the behavior of particles or agents in a medium over time, with stable distributions governing their movement.

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