Geodesic
Non uniqueness of $p$-adic Gibbs distribution for the Ising model on the lattice $Z^d$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 1, pp. 123-127

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we show non uniqueness of $p$-adic Gibbs distribution for the Ising model on the $Z^d$. Moreover, we prove that a $p$-adic Gibbs distribution is bounded if and only if $p\neq2$.
Keywords: Gibbs distribution, Ising model, lattice. 
@article{JSFU_2016_9_1_a13,
     author = {Zohid T. Tugyonov},
     title = {Non uniqueness of $p$-adic {Gibbs} distribution for the {Ising} model on the lattice $Z^d$},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {123--127},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2016_9_1_a13/}
}
TY  - JOUR
AU  - Zohid T. Tugyonov
TI  - Non uniqueness of $p$-adic Gibbs distribution for the Ising model on the lattice $Z^d$
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2016
SP  - 123
EP  - 127
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2016_9_1_a13/
LA  - en
ID  - JSFU_2016_9_1_a13
ER  - 
%0 Journal Article
%A Zohid T. Tugyonov
%T Non uniqueness of $p$-adic Gibbs distribution for the Ising model on the lattice $Z^d$
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2016
%P 123-127
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2016_9_1_a13/
%G en
%F JSFU_2016_9_1_a13
Zohid T. Tugyonov. Non uniqueness of $p$-adic Gibbs distribution for the Ising model on the lattice $Z^d$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 1, pp. 123-127. http://geodesic.mathdoc.fr/item/JSFU_2016_9_1_a13/