Twice invariant random group fields on trees
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 24-27
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We study a class of random fields on a tree $\Gamma$ with values in a compact topological group $X$. The fields of this class prove to be invariant with respect of both $X$ and $\Gamma$. For a simple example of $X$ we study the limit distribution of the summary spin having a breach of the asymptotical normality.
@article{VMUMM_1983_1_a6,
author = {M. Yu. Belyaev},
title = {Twice invariant random group fields on trees},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {24--27},
year = {1983},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a6/}
}
M. Yu. Belyaev. Twice invariant random group fields on trees. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 24-27. http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a6/