O. Khakimov

activity

20142026

most cited

P

-adic monomial equations and their perturbation

28 citations · 134 across the 17 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.NT2019★ 28 cited

$P$ -adic monomial equations and their perturbation

Farrukh Mukhamedov, Otabek Khakimov

In this paper, we describe the set of all solutions of monomial equation $x^{k} = a$ over $Q_{p}$ . Moreover, as an application of the result, we study several perturbations of th…

math.DS2019★ 11 cited

On omega limiting sets of infinite dimensional Volterra operators

Farrukh Mukhamedov, Otabek Khakimov, Ahmad Fadillah Embong

In the present paper, we are aiming to study limiting behavior of infinite dimensional Volterra operators. We introduce two classes $V ~^{+}$ and $\tilde{\mathcal{V}…

math.DS2019

Chaotic behavior of the $p$ -adic Potts-Bethe mapping II

Farrukh Mukhamedov, Otabek Khakimov

In our previous investigations, we have developed the renormalization group method to $p$ -adic $q$ -state Potts model on the Cayley tree of order $k$ . This method is closely related…

math-ph2019★ 17 cited

On a $p$ -Adic Generalized Gibbs Measure for Ising Model on a Cayley Tree

Muzaffar Rahmatullaev, Otabek Khakimov, Akbarxoja Tukhtaboev

In this paper we consider a $p$ -adic Ising model on the Cayley tree of order $k \geq 2$ . We give full description of all $p$ -adic translation-invariant generalized Gibbs measures fo…

P-adic monomial equations and their perturbation

On omega limiting sets of infinite dimensional Volterra operators

Chaotic behavior of the p-adic Potts-Bethe mapping II

On a p-Adic Generalized Gibbs Measure for Ising Model on a Cayley Tree

$P$ -adic monomial equations and their perturbation

Chaotic behavior of the $p$ -adic Potts-Bethe mapping II

On a $p$ -Adic Generalized Gibbs Measure for Ising Model on a Cayley Tree