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Showing 2022 · math-phShow all
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math-ph2022
Fixed points of an infinite dimensional operator related to Gibbs measures
U. R. Olimov, U. A. Rozikov
We describe fixed points of an infinite dimensional non-linear operator related to a hard core (HC) model with a countable set of spin values on the Cayley tree. This…
math-ph2022★ 2 cited
Gibbs measures for HC-model with a countable set of spin values on a Cayley tree
R. M. Khakimov, M. T. Makhammadaliev, U. A. Rozikov
In this paper, we study the HC-model with a countable set of spin values on a Cayley tree of order . This model is defined by a countable set of parameters (th…
math-ph2022★ 6 cited
Mirror symmetry of height-periodic gradient Gibbs measures of a SOS model on Cayley trees
U. A. Rozikov
For the solid-on-solid (SOS) model with spin values from the set of all integers on a Cayley tree we give gradient Gibbs measures (GGMs). Such a measure corresponds to a boundary l…