O. Khakimov

collaborators

3 papers

math.RA2026

Local Rota--Baxter operators of weight zero on nilpotent evolution algebras with maximal nilindex

Izzat Qaralleh, Farrukh Mukhamedov, Otabek Khakimov

Let $E$ be an $n$ -dimensional nilpotent evolution algebra of maximal nilindex over a field of characteristic zero. The Rota--Baxter operators of weights zero and one on such algebr…

math.RA2026

Rota-Baxter operators of nilpotent evolution algebras with maximal nilindex

Izzat Qaralleh, Farrukh Mukhamedov, Otabek Khakimov

Nilpotent evolution algebras of maximal nilindex admit a natural basis in which the structure matrix is strictly upper triangular. In this paper we classify Rota{Baxter operators o…

math-ph2025

p-adic dynamical systems for $p$ -adic $I^»$ -models on the Cayley trees

Farrukh Mukhamedov, Otabek Khakimov

We review and propose to use of associated dynamical system to explore the phase transition phenomena in $p$ -adic statistical mechanics setting, by means of the renormalization tec…

Local Rota--Baxter operators of weight zero on nilpotent evolution algebras with maximal nilindex

Rota-Baxter operators of nilpotent evolution algebras with maximal nilindex

p-adic dynamical systems for p-adic I^»-models on the Cayley trees

p-adic dynamical systems for $p$ -adic $I^»$ -models on the Cayley trees