Rozikov, U. A.; Sattarov, I. A.; Tukhtabaev, A. M. Periodic points of a \(p\)-adic operator and their \(p\)-adic Gibbs measures. (English) Zbl 1514.82064 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. Suppl 1, S30-S44 (2022). MSC: 82B20 46S10 60K35 82B26 12J12 PDFBibTeX XMLCite \textit{U. A. Rozikov} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. Suppl 1, S30--S44 (2022; Zbl 1514.82064) Full Text: DOI arXiv
Rahmatullaev, Muzaffar; Tukhtabaev, Akbarkhuja On periodic \(p\)-adic generalized Gibbs measures for Ising model on a Cayley tree. (English) Zbl 1508.37054 Lett. Math. Phys. 112, No. 6, Paper No. 112, 18 p. (2022). MSC: 37E25 39A60 82B20 PDFBibTeX XMLCite \textit{M. Rahmatullaev} and \textit{A. Tukhtabaev}, Lett. Math. Phys. 112, No. 6, Paper No. 112, 18 p. (2022; Zbl 1508.37054) Full Text: DOI
Mukhamedov, Farrukh; Khakimov, Otabek Chaos in \(p\)-adic statistical lattice models: Potts model. (English) Zbl 1504.30064 Zúñiga-Galindo, W. A. (ed.) et al., Advances in non-Archimedean analysis and applications. The \(p\)-adic methodology in STEAM-H. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 115-165 (2021). MSC: 30G06 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{O. Khakimov}, in: Advances in non-Archimedean analysis and applications. The \(p\)-adic methodology in STEAM-H. Cham: Springer. 115--165 (2021; Zbl 1504.30064) Full Text: DOI
Tukhtabaev, Akbarkhuja On \(G_2\)-periodic quasi Gibbs measures of \(p\)-adic Potts model on a Cayley tree. (English) Zbl 1477.82006 \(p\)-Adic Numbers Ultrametric Anal. Appl. 13, No. 4, 291-307 (2021). MSC: 82B20 46S10 82B26 05C05 60K35 PDFBibTeX XMLCite \textit{A. Tukhtabaev}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 13, No. 4, 291--307 (2021; Zbl 1477.82006) Full Text: DOI
Ny, A. Le; Liao, L.; Rozikov, U. A. \(p\)-adic boundary laws and Markov chains on trees. (English) Zbl 1462.82015 Lett. Math. Phys. 110, No. 10, 2725-2741 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 82B26 46S10 12J12 60K35 60J20 05C05 PDFBibTeX XMLCite \textit{A. Le Ny} et al., Lett. Math. Phys. 110, No. 10, 2725--2741 (2020; Zbl 1462.82015) Full Text: DOI arXiv
Rahmatullaev, M. M.; Khakimov, O. N.; Tukhtaboev, A. M. A \(p\)-adic generalized Gibbs measure for the Ising model on a Cayley tree. (English. Russian original) Zbl 1436.82009 Theor. Math. Phys. 201, No. 1, 1521-1530 (2019); translation from Teor. Mat. Fiz. 201, No. 1, 126-136 (2019). MSC: 82B20 82B30 82B26 05C05 PDFBibTeX XMLCite \textit{M. M. Rahmatullaev} et al., Theor. Math. Phys. 201, No. 1, 1521--1530 (2019; Zbl 1436.82009); translation from Teor. Mat. Fiz. 201, No. 1, 126--136 (2019) Full Text: DOI arXiv
Khakimov, O. N. \(p\)-adic solid-on-solid model on a Cayley tree. (English. Russian original) Zbl 1387.82011 Theor. Math. Phys. 193, No. 3, 1880-1893 (2017); translation from Teor. Mat. Fiz. 193, No. 3, 547-562 (2017). MSC: 82B20 82B30 82B26 05C05 11S80 PDFBibTeX XMLCite \textit{O. N. Khakimov}, Theor. Math. Phys. 193, No. 3, 1880--1893 (2017; Zbl 1387.82011); translation from Teor. Mat. Fiz. 193, No. 3, 547--562 (2017) Full Text: DOI
Rozikov, U. A.; Tugyonov, Z. T. Construction of a set of \(p\)-adic distributions. (English. Russian original) Zbl 1387.82028 Theor. Math. Phys. 193, No. 2, 1694-1702 (2017); translation from Teor. Mat. Fiz. 193, No. 2, 333-342 (2017). MSC: 82B30 PDFBibTeX XMLCite \textit{U. A. Rozikov} and \textit{Z. T. Tugyonov}, Theor. Math. Phys. 193, No. 2, 1694--1702 (2017; Zbl 1387.82028); translation from Teor. Mat. Fiz. 193, No. 2, 333--342 (2017) Full Text: DOI arXiv
Mukhamedov, Farrukh; Khakimov, Otabek On a generalized self-similarity in the \(p\)-adic field. (English) Zbl 1357.28012 Fractals 24, No. 4, Article ID 1650041, 11 p. (2016). MSC: 28A80 11S82 37P25 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{O. Khakimov}, Fractals 24, No. 4, Article ID 1650041, 11 p. (2016; Zbl 1357.28012) 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
Khakimov, O. N. A \(p\)-adic hard-core model with three states on a Cayley tree. (English. Russian original) Zbl 1356.82011 Sib. Math. J. 57, No. 4, 726-734 (2016); translation from Sib. Mat. Zh. 57, No. 4, 928-939 (2016). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 05C05 PDFBibTeX XMLCite \textit{O. N. Khakimov}, Sib. Math. J. 57, No. 4, 726--734 (2016; Zbl 1356.82011); translation from Sib. Mat. Zh. 57, No. 4, 928--939 (2016) Full Text: DOI
Mukhamedov, F.; Khakimov, O. On periodic Gibbs measures of \(p\)-adic Potts model on a Cayley tree. (English) Zbl 1356.82022 \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 3, 225-235 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 82C20 82B30 26E30 05C05 82C26 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{O. Khakimov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 3, 225--235 (2016; Zbl 1356.82022) Full Text: DOI
Mukhamedov, Farrukh; Saburov, Mansoor; Khakimov, Otabek On \(p\)-adic Ising-Vannimenus model on an arbitrary order Cayley tree. (English) Zbl 1456.82708 J. Stat. Mech. Theory Exp. 2015, No. 5, Paper No. P05032, 26 p. (2015). MSC: 82C23 PDFBibTeX XMLCite \textit{F. Mukhamedov} et al., J. Stat. Mech. Theory Exp. 2015, No. 5, Paper No. P05032, 26 p. (2015; Zbl 1456.82708) Full Text: DOI arXiv
Mukhamedov, Farrukh Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree. (English) Zbl 1334.82046 Int. J. Theor. Phys. 54, No. 10, 3577-3595 (2015). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C28 82C26 05C05 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Int. J. Theor. Phys. 54, No. 10, 3577--3595 (2015; Zbl 1334.82046) Full Text: DOI arXiv
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 On the strong phase transition for the one-dimensional countable state \(p\)-adic Potts model. (English) Zbl 1456.82159 J. Stat. Mech. Theory Exp. 2014, No. 1, Paper No. P01007, 23 p. (2014). MSC: 82B20 PDFBibTeX XMLCite \textit{F. Mukhamedov}, J. Stat. Mech. Theory Exp. 2014, No. 1, Paper No. P01007, 23 p. (2014; Zbl 1456.82159) Full Text: DOI
Khakimov, O. N. On a generalized \(p\)-adic Gibbs measure for Ising model on trees. (English) Zbl 1311.82011 \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 3, 207-217 (2014). MSC: 82B20 05C05 82B26 PDFBibTeX XMLCite \textit{O. N. Khakimov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 3, 207--217 (2014; Zbl 1311.82011) Full Text: DOI
Mukhamedov, Farrukh; Akın, Hasan Phase transitions for \(p\)-adic Potts model on the Cayley tree of order three. (English) Zbl 1456.82825 J. Stat. Mech. Theory Exp. 2013, No. 7, Paper No. P07014, 30 p. (2013). MSC: 82C40 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{H. Akın}, J. Stat. Mech. Theory Exp. 2013, No. 7, Paper No. P07014, 30 p. (2013; Zbl 1456.82825) Full Text: DOI arXiv