3 papers
math.RA2025
Infinite dimensional analogues of nilpotent and solvable Lie algebras
F. H. Haydarov, B. A. Omirov, G. O. Solijanova
We study infinite-dimensional analogues of nilpotent and solvable Lie algebras, focusing on the classes of pro-nilpotent, residually nilpotent, pro-solvable and residually solvable…
math.FA2025
Coupled Ising-Potts Model: Rich Sets of Critical Temperatures and Translation-Invariant Gibbs Measures
F. H. Haydarov, B. A. Omirov, U. A. Rozikov
We consider a coupled Ising-Potts model on Cayley trees of order . This model involves spin vectors , and generalizes both the Ising and Potts models by inco…
math.PR2025
Non-Gibbsian Multivariate Ewens Probability Distributions on Regular Trees
F. H. Haydarov, Z. E. Mustafoyeva, U. A. Rozikov
Ewens' sampling formula (ESF) provides the probability distribution governing the number of distinct genetic types and their respective frequencies at a selectively neutral locus u…