Kybernetika 47 no. 6, 944-954, 2011

On the core property of the cylinder functions class in the construction of interacting particle systems

Anja Voss-Böhme

Abstract:

For general interacting particle systems in the sense of Liggett, it is proven that the class of cylinder functions forms a core for the associated Markov generator. It is argued that this result cannot be concluded by straightforwardly generalizing the standard proof technique that is applied when constructing interacting particle systems from their Markov pregenerators.

Keywords:

Markov pregenerator, Markov generator, cylinder function, local function

Classification:

60K35, 82C22

paper.pdf

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