Mukhamedov, F. M.; Rahmatullaev, M. M.; Tukhtabaev, A. M.; Mamadjonov, R. The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures. (English. Russian original) Zbl 1521.82005 Theor. Math. Phys. 216, No. 2, 1238-1253 (2023); translation from Teor. Mat. Fiz. 216, No. 2, 383-400 (2023). MSC: 82B20 82B28 82B26 82B27 82B41 PDFBibTeX XMLCite \textit{F. M. Mukhamedov} et al., Theor. Math. Phys. 216, No. 2, 1238--1253 (2023; Zbl 1521.82005); translation from Teor. Mat. Fiz. 216, No. 2, 383--400 (2023) Full Text: DOI
Mukhamedov, Farrukh; Khakimov, Otabek Absolute continuity of non-homogeneous Gibbs measures of the Ising model on the Cayley tree. (English) Zbl 07735422 Nonlinearity 36, No. 10, 5265-5278 (2023). MSC: 82B26 60K35 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{O. Khakimov}, Nonlinearity 36, No. 10, 5265--5278 (2023; Zbl 07735422) Full Text: DOI
Mukhamedov, Farrukh; Khakimov, Otabek Translation-invariant generalized \(p\)-adic Gibbs measures for the Ising model on Cayley trees. (English) Zbl 1477.82009 Math. Methods Appl. Sci. 44, No. 16, 12302-12316 (2021). Reviewer: Hasan Akin (Trieste) MSC: 82B26 82B20 46S10 39A70 47H10 60K35 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{O. Khakimov}, Math. Methods Appl. Sci. 44, No. 16, 12302--12316 (2021; Zbl 1477.82009) Full Text: DOI
Mukhamedov, Farrukh Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued \(L_p\)-spaces. (English) Zbl 1494.47015 Adv. Oper. Theory 6, No. 3, Paper No. 57, 34 p. (2021). MSC: 47A35 47H25 37A05 37A30 60G10 47H60 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Adv. Oper. Theory 6, No. 3, Paper No. 57, 34 p. (2021; Zbl 1494.47015) Full Text: DOI
Mukhamedov, Farrukh; Khakimov, Otabek On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree. (English) Zbl 1413.46067 Math. Phys. Anal. Geom. 20, No. 4, Paper No. 23, 14 p. (2017). MSC: 46S10 82B26 60K35 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{O. Khakimov}, Math. Phys. Anal. Geom. 20, No. 4, Paper No. 23, 14 p. (2017; Zbl 1413.46067) Full Text: DOI
Mukhamedov, Farrukh; Khakimov, Otabek Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree. (English) Zbl 1355.37106 Chaos Solitons Fractals 87, 190-196 (2016). MSC: 37N20 46S10 39A70 47S10 60K35 82B20 82B26 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{O. Khakimov}, Chaos Solitons Fractals 87, 190--196 (2016; Zbl 1355.37106) Full Text: DOI
Mukhamedov, Farrukh; Dogan, Mutlay On \(P\)-adic \(\lambda\)-model on the Cayley tree. II: Phase transitions. (English) Zbl 1321.82020 Rep. Math. Phys. 75, No. 1, 25-46 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 82B26 46S10 12J12 39A70 47H10 60K35 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{M. Dogan}, Rep. Math. Phys. 75, No. 1, 25--46 (2015; Zbl 1321.82020) Full Text: DOI
Mukhamedov, Farrukh A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two. (English) Zbl 1271.82018 Rep. Math. Phys. 70, No. 3, 385-406 (2012). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C26 37N20 39A70 60K35 82B20 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Rep. Math. Phys. 70, No. 3, 385--406 (2012; Zbl 1271.82018) Full Text: DOI
Mukhamedov, Farrukh On \(p\)-adic quasi Gibbs measures for \(q+1\)-state Potts model on the Cayley tree. (English) Zbl 1268.82007 \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 3, 241-251 (2010). MSC: 82B20 60K35 PDFBibTeX XMLCite \textit{F. Mukhamedov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 3, 241--251 (2010; Zbl 1268.82007) Full Text: DOI
Khrennikov, A. Yu; Mukhamedov, F. M.; Mendes, J. F. F. On \(p\)-adic Gibbs measures of the countable state Potts model on the Cayley tree. (English) Zbl 1139.46050 Nonlinearity 20, No. 12, 2923-2937 (2007). MSC: 46S10 82B20 82B26 60K35 PDFBibTeX XMLCite \textit{A. Y. Khrennikov} et al., Nonlinearity 20, No. 12, 2923--2937 (2007; Zbl 1139.46050) Full Text: DOI arXiv
Mukhamedov, F. M. On an ergodic property of quantum quadratic stochastic operators. (Russian) Zbl 0978.60034 Dokl. Akad. Nauk Resp. Uzb., Mat. Tekh. Nauki Estestvozn. 1998, No. 9, 5-9 (1998). MSC: 60G12 28D15 40G05 46L05 60G50 PDFBibTeX XMLCite \textit{F. M. Mukhamedov}, Dokl. Akad. Nauk Resp. Uzb., Mat. Tekh. Nauki Estestvozn. 1998, No. 9, 5--9 (1998; Zbl 0978.60034)