Geodesic
On the core property of the cylinder functions class in the construction of interacting particle systems
Kybernetika, Tome 47 (2011) no. 6, pp. 944-954.

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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.
Classification : 60K35, 82C22
Keywords: Markov pregenerator; Markov generator; cylinder function; local function 
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     author = {Voss-B\"ohme, Anja},
     title = {On the core property of the cylinder functions class in the construction of interacting particle systems},
     journal = {Kybernetika},
     pages = {944--954},
     publisher = {mathdoc},
     volume = {47},
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     zbl = {1246.60121},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2011__47_6_a10/}
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Voss-Böhme, Anja. On the core property of the cylinder functions class in the construction of interacting particle systems. Kybernetika, Tome 47 (2011) no. 6, pp. 944-954. http://geodesic.mathdoc.fr/item/KYB_2011__47_6_a10/