The central limit theorem for random fields
Kybernetika (1994)
- Volume: 30, Issue: 1, page 77-86
- ISSN: 0023-5954
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topJanžura, Martin. "The central limit theorem for random fields." Kybernetika 30.1 (1994): 77-86. <http://eudml.org/doc/27659>.
@article{Janžura1994,
author = {Janžura, Martin},
journal = {Kybernetika},
keywords = {central limit theorem; random fields; Gibbs distributions; Dobrushin's uniqueness condition},
language = {eng},
number = {1},
pages = {77-86},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The central limit theorem for random fields},
url = {http://eudml.org/doc/27659},
volume = {30},
year = {1994},
}
TY - JOUR
AU - Janžura, Martin
TI - The central limit theorem for random fields
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 1
SP - 77
EP - 86
LA - eng
KW - central limit theorem; random fields; Gibbs distributions; Dobrushin's uniqueness condition
UR - http://eudml.org/doc/27659
ER -
References
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- P. Billingsley, Convergence of Probability Measures, Wiley, New York 1968. (1968) Zbl0172.21201MR0233396
- R. L. Dobrushin, B. Tirozzi, The central limit theorem and the problem of equivalence of ensembles, Commun. Math. Phys. 54 (1977), 174-192. (1977) Zbl0391.60095MR0445641
- H. Föllmer, On the global Markov property, In: Quantum Fields--Algebras Processes (L. Streit, ed.) Springer, Wien 1980. (1980) MR0601817
- H. Künsch, Decay of correlations under Dobrushin's uniqueness condition and its applications, Commun. Math. Phys. 84 (1982), 207-222. (1982) Zbl0495.60097MR0661133
- B. S. Nahapetian, Limit theorems and statistical mechanics, In: Random Fields (J. Fritz, J. I. Lebowitz, D. Szasz, eds.), Colloquia mathematica societatis Janos Bolyai, 27 (1981), 799-820. (1981) Zbl0487.60082MR0712712
- H. Rosenblatt, Central limit theorem for stationary processes, Proc. 6th Berkeley Symposium, Vol. II (1970), 551-561. (1970) MR0402869
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