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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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 
@article{KYB_2011_47_6_a10,
     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},
     year = {2011},
     volume = {47},
     number = {6},
     mrnumber = {2907853},
     zbl = {1246.60121},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2011_47_6_a10/}
}
TY  - JOUR
AU  - Voss-Böhme, Anja
TI  - On the core property of the cylinder functions class in the construction of interacting particle systems
JO  - Kybernetika
PY  - 2011
SP  - 944
EP  - 954
VL  - 47
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/KYB_2011_47_6_a10/
LA  - en
ID  - KYB_2011_47_6_a10
ER  - 
%0 Journal Article
%A Voss-Böhme, Anja
%T On the core property of the cylinder functions class in the construction of interacting particle systems
%J Kybernetika
%D 2011
%P 944-954
%V 47
%N 6
%U http://geodesic.mathdoc.fr/item/KYB_2011_47_6_a10/
%G en
%F KYB_2011_47_6_a10
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/

[1] Bernardin, C.: Fluctuations in the occupation time of a site in the asymmetric simple exclusion process. Ann. Probab. 31 (2004), 1B, 855-879. | MR | Zbl

[2] Chen, J.: Extremality of invariant measures and ergodicity of stochastic systems. J. Phys. A 32 (2002), 2, 229-238. | DOI | MR | Zbl

[3] Ethier, S. N., Kurtz, T. G.: Markov Processes: Characterization and Convergence. Wiley, 1986. | MR | Zbl

[4] Jung, P.: The noisy voter-exclusion process. Stoch. Proc. Appl. 115 (2005), 12, 1979-2005. | DOI | MR | Zbl

[5] Liggett, T. M.: Interacting Particle Systems. Springer-Verlag, 1985. | MR | Zbl