Non-equilibrium stochastic dynamics in continuum: The free case

• Published in: Condensed Matter Physics
• Date: 2008
• Main Authors: Kondratiev, Y., Lytvynov, E., Röckner, M.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119593
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Non-equilibrium stochastic dynamics in continuum: The free case / Y. Kondratiev, E. Lytvynov, M. Röckner // Condensed Matter Physics. — 2008. — Т. 11, № 4(56). — С. 701-721. — Бібліогр.: 25 назв. — англ.

We study the problem of identification of a proper state-space for the stochastic dynamics of free particles
 in continuum, with their possible birth and death. In this dynamics, the motion of each separate particle is
 described by a fixed Markov process M on a Riemannian manifold X...