Kolmogorov extension theorem for non-probability measures on Cayley trees

FH Haydarov - Reviews in Mathematical Physics, 2024 - World Scientific
Kolmogorov extension theorem for non-probability measures on Cayley trees Page 1
Reviews in Mathematical Physics Vol. 36, No. 6 (2024) 2450010 (12 pages) © World …

Phase transitions for countable state 1D SOS model with external field

O Khakimov - Journal of Statistical Mechanics: Theory and …, 2023 - iopscience.iop.org
We consider a 1D solid-on-solid (SOS) model with external field in which the single-spin
space is the set of all integers. Then, we construct a Gibbs specification for the model and …

Gibbs measures of models with uncountable set of spin values on lattice systems

F Haydarov - Bulletin of National University of Uzbekistan …, 2023 - bulletin.nuu.uz
In this paper, we shall discuss the construction of Gibbs measures for models with
uncountable set of spin values on Cayley trees. It is known that" translation-invariant Gibbs …