Markov evolutions and hierarchical equations in the continuum I. One-component systems

Details Markov evolutions and hierarchical equations in the continuum I. One-component systems Markov evolutions and hierarchical equations in the continuum I. One-component systems

2007-07-04

arxiv.org/abs/0707.0619v1

J. Evol. Equ. 9 (2) (2009), 197-233

Physics

Mathematical Physics

47 pages

Scientific paper

10.1007/s00028-009-0007-9

General birth-and-death as well as hopping stochastic dynamics of infinite
particle systems in the continuum are considered. We derive corresponding
evolution equations for correlation functions and generating functionals.
General considerations are illustrated in a number of concrete examples of
Markov evolutions appearing in applications.

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