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

Anja Voss-Böhme

Kybernetika (2011)

  • Volume: 47, Issue: 6, page 944-954
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Voss-Böhme, Anja. "On the core property of the cylinder functions class in the construction of interacting particle systems." Kybernetika 47.6 (2011): 944-954. <http://eudml.org/doc/196980>.

@article{Voss2011,
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.},
author = {Voss-Böhme, Anja},
journal = {Kybernetika},
keywords = {Markov pregenerator; Markov generator; cylinder function; local function; Markov pregenerator; Markov generator; cylinder function; local function},
language = {eng},
number = {6},
pages = {944-954},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the core property of the cylinder functions class in the construction of interacting particle systems},
url = {http://eudml.org/doc/196980},
volume = {47},
year = {2011},
}

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
PB - Institute of Information Theory and Automation AS CR
VL - 47
IS - 6
SP - 944
EP - 954
AB - 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.
LA - eng
KW - Markov pregenerator; Markov generator; cylinder function; local function; Markov pregenerator; Markov generator; cylinder function; local function
UR - http://eudml.org/doc/196980
ER -

References

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  1. Bernardin, C., Fluctuations in the occupation time of a site in the asymmetric simple exclusion process., Ann. Probab. 31 (2004), 1B, 855-879. (2004) Zbl1071.60096MR2039945
  2. Chen, J., 10.1088/0305-4470/35/2/304, J. Phys. A 32 (2002), 2, 229-238. (2002) Zbl1038.82066MR1945919DOI10.1088/0305-4470/35/2/304
  3. Ethier, S. N., Kurtz, T. G., Markov Processes: Characterization and Convergence., Wiley, 1986. (1986) Zbl0592.60049MR0838085
  4. Jung, P., 10.1016/j.spa.2005.07.001, Stoch. Proc. Appl. 115 (2005), 12, 1979-2005. Zbl1099.60071MR2178504DOI10.1016/j.spa.2005.07.001
  5. Liggett, T. M., Interacting Particle Systems., Springer-Verlag, 1985. (1985) Zbl0559.60078MR0776231

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