| Title:
|
On the core property of the cylinder functions class in the construction of interacting particle systems (English) |
| Author:
|
Voss-Böhme, Anja |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
47 |
| Issue:
|
6 |
| Year:
|
2011 |
| Pages:
|
944-954 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Markov pregenerator |
| Keyword:
|
Markov generator |
| Keyword:
|
cylinder function |
| Keyword:
|
local function |
| MSC:
|
60K35 |
| MSC:
|
82C22 |
| idZBL:
|
Zbl 1246.60121 |
| idMR:
|
MR2907853 |
| . |
| Date available:
|
2011-12-08T10:06:05Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141736 |
| . |
| Reference:
|
[1] Bernardin, C.: Fluctuations in the occupation time of a site in the asymmetric simple exclusion process..Ann. Probab. 31 (2004), 1B, 855-879. Zbl 1071.60096, MR 2039945 |
| Reference:
|
[2] Chen, J.: Extremality of invariant measures and ergodicity of stochastic systems..J. Phys. A 32 (2002), 2, 229-238. Zbl 1038.82066, MR 1945919, 10.1088/0305-4470/35/2/304 |
| Reference:
|
[3] Ethier, S. N., Kurtz, T. G.: Markov Processes: Characterization and Convergence..Wiley, 1986. Zbl 0592.60049, MR 0838085 |
| Reference:
|
[4] Jung, P.: The noisy voter-exclusion process..Stoch. Proc. Appl. 115 (2005), 12, 1979-2005. Zbl 1099.60071, MR 2178504, 10.1016/j.spa.2005.07.001 |
| Reference:
|
[5] Liggett, T. M.: Interacting Particle Systems..Springer-Verlag, 1985. Zbl 0559.60078, MR 0776231 |
| . |
