01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
15.02.1989
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
M. M. Rahmatullaev, B. U. Abraev, “A new class of Gibbs measures for three-state SOS model on a Cayley tree”, Chelyab. Fiz.-Mat. Zh., 9:1 (2024), 101–110
Muzaffar M. Rahmatullaev, Bunyod U. Abraev, “On ground states for the SOS model with competing interactions”, J. Sib. Fed. Univ. Math. Phys., 15:2 (2022), 162–175
