Stochastic storage models in theoretical physics problems (2504.05110v1)

Abstract: Stochastic storage models based on essentially non-Gaussian noise are considered. The stochastic description of physical systems based on stochastic storage models is associated with generalized Poisson (or shot) noise, in which the jump values can be quite large. Stochastic storage models have a direct physical meaning: some elements enter the system and leave it. Storage processes fit into the general scheme of dynamic systems subject to the additive influence of a random process. The main relationships of storage models are described, and the possibilities of applying the mathematical provisions of stochastic storage processes to various physical problems are indicated. A number of examples of applying the stochastic storage model are considered.