NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2020, 11 (4), P. 373–378
Positive fixed points of Lyapunov operator
R. N. Ganikhodjaev – National University of Uzbekistan, 100174, Tashkent, Uzbekistan; ramz3364647@yahoo.com
R. R. Kucharov – National University of Uzbekistan, 100174, Tashkent, Uzbekistan
K. A. Aralova – National University of Uzbekistan, 100174, Tashkent, Uzbekistan
In this paper, fixed points of Lyapunov integral equation are found and considered the connections between Gibbs measures for four competing interactions of models with uncountable (i.e. [0; 1]) set of spin values on the Cayley tree of order two.
Keywords: Lyapunov integral operator, fixed points, Cayley tree, Gibbs measure.
DOI 10.17586/2220-8054-2020-11-4-373-378
