# On the construction and identifcation of Boltzmann processes

@inproceedings{Albeverio2023OnTC, title={On the construction and identifcation of Boltzmann processes}, author={Sergio Albeverio and Barbara Rudiger and P. Sundar}, year={2023} }

Given the existence of a solution { f ( t, x, v ) } t ≥ 0 of the Boltzmann equation for hard spheres, we introduce a stochastic diﬀerential equation driven by a Poisson random measure that depends on f ( t, x, v ). The marginal distributions of its solution solves a linearized Boltzmann equation in the weak form. Further, if the distributions admit a probability density, we establish, under suitable conditions, that the density at each t coincides with f ( t, x, v ). The stochastic process is…

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