Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
15.02.1989
Phone: +998932262645
Keywords: Cayley tree,
Gibbs measures,
Ground states. Cayley tree,
configuration,
SOS model,
phase transitions.
Subject:
Mathematics In this paper we consider an SOS model with nearest-neighbour interactions and with three
spin values, on a Cayley tree of k 3. For this model, using the well-known translation-invariant
Gibbs measures, some non-translation-invariant Gibbs measures are constructed.
Main publications:
MUZAFFAR M. RAHMATULLAEV and Bunyod U. ABRAEV, “NON-TRANSLATION-INVARIANT GIBBS MEASURES
OF AN SOS MODEL ON A CAYLEY TREE”, REPORTS ON MATHEMATICAL PHYSICS, 86:3 (2020), 315-324
