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Symmetry of the isotropic Ornstein-Uhlenbeck process in a force field

We classify simple symmetries for an Ornstein-Uhlenbeck process, describing a particle in an external force field $f(x)$. It turns out that for sufficiently regular (in a sense to be defined) forces there are nontrivial symmetries only if $f(x)$ is at most linear. We fully discuss the isotropic case...

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Detalles Bibliográficos
Autor Principal: Giuseppe Gaeta
Formato: Artigo
Idioma:Inglês
Publicado: International Society of Nonlinear Mathematical Physics 2021-11-01
Series:Open Communications in Nonlinear Mathematical Physics
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Acceso en liña:https://ocnmp.episciences.org/7535/pdf
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