Geodesic
$p$-Adic Gibbs quasimeasures for the~Vannimenus model on a~Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 1, pp. 13-23

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We study $p$-adic Gibbs quasimeasures for the Vannimenus model on the order-two Cayley tree. We especially address the problem of the boundedness of translation-invariant $p$-adic Gibbs quasimeasures. We also study periodic $p$-adic Gibbs quasimeasures.
Keywords: Cayley tree, Gibbs quasimeasure, translation-invariant measure, $p$-adic number.
Mots-clés : configuration, Vannimenus model 
@article{TMF_2014_179_1_a1,
     author = {O. N. Khakimov},
     title = {$p${-Adic} {Gibbs} quasimeasures for {the~Vannimenus} model on {a~Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {13--23},
     publisher = {mathdoc},
     volume = {179},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_179_1_a1/}
}
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O. N. Khakimov. $p$-Adic Gibbs quasimeasures for the~Vannimenus model on a~Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 1, pp. 13-23. http://geodesic.mathdoc.fr/item/TMF_2014_179_1_a1/