# zbMATH — the first resource for mathematics

## Khakimov, Otabek N.

Compute Distance To:
 Author ID: khakimov.otabek-n Published as: Khakimov, Otabek; Khakimov, O. N.; Khakimov, Otabek N.; Khakimov, O.
 Documents Indexed: 26 Publications since 2013
all top 5

#### Co-Authors

 6 single-authored 17 Mukhamedov, Farruh Maksutovich 4 Embong, Ahmad Fadillah 2 Qaralleh, Izzat 2 Rozikov, Utkir A. 1 Akin, Hasan 1 Omirov, Bakhrom A. 1 Saburov, Mansoor 1 Tukhtaboev, A. M.
all top 5

#### Serials

 5 Theoretical and Mathematical Physics 3 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Journal of Statistical Mechanics: Theory and Experiment 1 Communications in Algebra 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Siberian Mathematical Journal 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Fractals 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 Markov Processes and Related Fields 1 Positivity 1 Qualitative Theory of Dynamical Systems 1 Dynamical Systems 1 Journal of Algebra and its Applications
all top 5

#### Fields

 14 Statistical mechanics, structure of matter (82-XX) 9 Combinatorics (05-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 6 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Difference and functional equations (39-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral equations (45-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX)

#### Citations contained in zbMATH Open

14 Publications have been cited 63 times in 32 Documents Cited by Year
$$p$$-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013
Rozikov, U. A.; Khakimov, O. N.
2013
Description of all translation-invariant $$p$$-adic Gibbs measures for the Potts model on a Cayley tree. Zbl 1332.82018
Rozikov, U. A.; Khakimov, O. N.
2015
On $$p$$-adic Gibbs measures for Ising model with four competing interactions. Zbl 1285.82013
Khakimov, O. N.
2013
Phase transition and chaos: $$p$$-adic Potts model on a Cayley tree. Zbl 1355.37106
Mukhamedov, Farrukh; Khakimov, Otabek
2016
On a generalized $$p$$-adic Gibbs measure for Ising model on trees. Zbl 1311.82011
Khakimov, O. N.
2014
$$p$$-adic Gibbs quasimeasures for the Vannimenus model on a Cayley tree. Zbl 1298.82011
Khakimov, O. N.
2014
On periodic Gibbs measures of $$p$$-adic Potts model on a Cayley tree. Zbl 1356.82022
Mukhamedov, F.; Khakimov, O.
2016
Chaotic behavior of the $$p$$-adic Potts-Bethe mapping. Zbl 1372.37022
Mukhamedov, Farrukh; Khakimov, Otabek
2018
$$p$$-adic Gibbs measures for the hard core model with three states on the Cayley tree. Zbl 1303.82012
Khakimov, O. N.
2013
On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems. Zbl 1392.37112
Mukhamedov, Farrukh; Khakimov, Otabek
2016
Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex. Zbl 1456.17019
Mukhamedov, Farrukh; Khakimov, Otabek; Omirov, Bakhrom; Qaralleh, Izzat
2019
On omega limiting sets of infinite dimensional Volterra operators. Zbl 1457.37018
2020
On Julia set and chaos in $$p$$-adic Ising model on the Cayley tree. Zbl 1413.46067
Mukhamedov, Farrukh; Khakimov, Otabek
2017
On a generalized self-similarity in the $$p$$-adic field. Zbl 1357.28012
Mukhamedov, Farrukh; Khakimov, Otabek
2016
On omega limiting sets of infinite dimensional Volterra operators. Zbl 1457.37018
2020
Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex. Zbl 1456.17019
Mukhamedov, Farrukh; Khakimov, Otabek; Omirov, Bakhrom; Qaralleh, Izzat
2019
Chaotic behavior of the $$p$$-adic Potts-Bethe mapping. Zbl 1372.37022
Mukhamedov, Farrukh; Khakimov, Otabek
2018
On Julia set and chaos in $$p$$-adic Ising model on the Cayley tree. Zbl 1413.46067
Mukhamedov, Farrukh; Khakimov, Otabek
2017
Phase transition and chaos: $$p$$-adic Potts model on a Cayley tree. Zbl 1355.37106
Mukhamedov, Farrukh; Khakimov, Otabek
2016
On periodic Gibbs measures of $$p$$-adic Potts model on a Cayley tree. Zbl 1356.82022
Mukhamedov, F.; Khakimov, O.
2016
On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems. Zbl 1392.37112
Mukhamedov, Farrukh; Khakimov, Otabek
2016
On a generalized self-similarity in the $$p$$-adic field. Zbl 1357.28012
Mukhamedov, Farrukh; Khakimov, Otabek
2016
Description of all translation-invariant $$p$$-adic Gibbs measures for the Potts model on a Cayley tree. Zbl 1332.82018
Rozikov, U. A.; Khakimov, O. N.
2015
On a generalized $$p$$-adic Gibbs measure for Ising model on trees. Zbl 1311.82011
Khakimov, O. N.
2014
$$p$$-adic Gibbs quasimeasures for the Vannimenus model on a Cayley tree. Zbl 1298.82011
Khakimov, O. N.
2014
$$p$$-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013
Rozikov, U. A.; Khakimov, O. N.
2013
On $$p$$-adic Gibbs measures for Ising model with four competing interactions. Zbl 1285.82013
Khakimov, O. N.
2013
$$p$$-adic Gibbs measures for the hard core model with three states on the Cayley tree. Zbl 1303.82012
Khakimov, O. N.
2013
all top 5

#### Cited by 25 Authors

 11 Khakimov, Otabek N. 11 Mukhamedov, Farruh Maksutovich 4 Rozikov, Utkir A. 3 Ahmad, Mohd Ali Khameini 3 Saburov, Mansoor 3 Sattarov, Iskandar A. 2 Cadavid, Paula 2 Doğan, Mutlay 2 Embong, Ahmad Fadillah 2 Jamilov, Uygun U. 2 Liao, Lingmin 2 Mukhitdinov, R. T. 2 Rodiño Montoya, Mary Luz 2 Rodríguez, Pablo M. 1 Akin, Hasan 1 Cabrera Casado, Yolanda 1 Fan, Shilei 1 Khakimov, O. Kh. 1 Le Ny, Arnaud 1 Luna, A. R. 1 Saburov, Mansur Kh. 1 Tugyonov, Zohid T. 1 Tukhtaboev, A. M. 1 Xiao, Yunpeng 1 Yang, Jinghua
all top 5

#### Cited in 21 Serials

 5 Theoretical and Mathematical Physics 5 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Linear and Multilinear Algebra 2 Chaos, Solitons and Fractals 2 Mathematical Physics, Analysis and Geometry 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Acta Mathematica Sinica. English Series 1 Qualitative Theory of Dynamical Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Science China. Mathematics 1 Journal of Siberian Federal University. Mathematics & Physics
all top 5

#### Cited in 16 Fields

 16 Statistical mechanics, structure of matter (82-XX) 14 Combinatorics (05-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 7 Number theory (11-XX) 6 Field theory and polynomials (12-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 4 Difference and functional equations (39-XX) 2 Nonassociative rings and algebras (17-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Quantum theory (81-XX)