Baratov, B. S.; Jamilov, U. U. On separable cubic stochastic operators. (English) Zbl 07815920 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 93, 28 p. (2024). MSC: 37N25 92D10 PDFBibTeX XMLCite \textit{B. S. Baratov} and \textit{U. U. Jamilov}, Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 93, 28 p. (2024; Zbl 07815920) Full Text: DOI
Saburov, M.; Saburov, Kh. Applications of quadratic stochastic operators to nonlinear consensus problems. (English. Russian original) Zbl 07805796 J. Math. Sci., New York 278, No. 4, 661-674 (2024); translation from Sovrem. Mat., Fundam. Napravl. 68, No. 1, 110-126 (2022). MSC: 93D50 93A16 93C10 PDFBibTeX XMLCite \textit{M. Saburov} and \textit{Kh. Saburov}, J. Math. Sci., New York 278, No. 4, 661--674 (2024; Zbl 07805796); translation from Sovrem. Mat., Fundam. Napravl. 68, No. 1, 110--126 (2022) Full Text: DOI
Saburov, Mansoor; Saburov, Khikmat Krause mean processes generated by cubic stochastic matrices IV: off-diagonally uniformly positive nonautonomous cubic stochastic matrices. (English) Zbl 07820168 Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 439-459 (2023). MSC: 37-XX 39-XX PDFBibTeX XMLCite \textit{M. Saburov} and \textit{K. Saburov}, Springer Proc. Math. Stat. 416, 439--459 (2023; Zbl 07820168) Full Text: DOI
Khakimov, R. M.; Makhammadaliev, M. T.; Haydarov, F. H. New class of Gibbs measures for two-state hard-core model on a Cayley tree. (English) Zbl 07788068 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 4, Article ID 2350024, 28 p. (2023). MSC: 82B26 60K35 82B20 05C05 PDFBibTeX XMLCite \textit{R. M. Khakimov} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 4, Article ID 2350024, 28 p. (2023; Zbl 07788068) Full Text: DOI arXiv
Saburov, Khikmat Krause mean processes generated by cubic stochastic diagonally primitive matrices. (English) Zbl 1526.60043 Math. Notes 114, No. 2, 250-264 (2023). MSC: 60J10 60J20 60D05 91D30 15B52 PDFBibTeX XMLCite \textit{K. Saburov}, Math. Notes 114, No. 2, 250--264 (2023; Zbl 1526.60043) Full Text: DOI
Jamilov, U. U.; Scheutzow, M.; Vorkastner, I. A prey-predator model with three interacting species. (English) Zbl 07758042 Dyn. Syst. 38, No. 4, 493-509 (2023). MSC: 37N25 92D25 47A35 47H25 PDFBibTeX XMLCite \textit{U. U. Jamilov} et al., Dyn. Syst. 38, No. 4, 493--509 (2023; Zbl 07758042) Full Text: DOI arXiv
Eshmatov, F. F.; Jamilov, U. U.; Khudoyberdiev, Kh. O. Discrete time dynamics of a SIRD reinfection model. (English) Zbl 1523.37093 Int. J. Biomath. 16, No. 5, Article ID 2250104, 22 p. (2023). MSC: 37N25 92D25 92D30 PDFBibTeX XMLCite \textit{F. F. Eshmatov} et al., Int. J. Biomath. 16, No. 5, Article ID 2250104, 22 p. (2023; Zbl 1523.37093) Full Text: DOI
Adilova, Fatima; Jamilov, Uygun; Reinfelds, Andrejs On discrete-time models of network worm propagation generated by quadratic operators. (English) Zbl 1521.37100 Math. Model. Anal. 28, No. 2, 194-217 (2023). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 37N25 39A50 92D30 92D25 PDFBibTeX XMLCite \textit{F. Adilova} et al., Math. Model. Anal. 28, No. 2, 194--217 (2023; Zbl 1521.37100) Full Text: DOI
Saburov, Mansoor Historic behavior in rock-paper-scissor dynamics. (English) Zbl 07700146 Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 121, 20 p. (2023). MSC: 47H25 46N60 46T20 37C05 PDFBibTeX XMLCite \textit{M. Saburov}, Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 121, 20 p. (2023; Zbl 07700146) Full Text: DOI
Khakimov, R. M.; Makhammadaliev, M. T.; Rozikov, U. A. Gibbs measures for HC-model with a cuountable set of spin values on a Cayley tree. (English) Zbl 1517.82020 Math. Phys. Anal. Geom. 26, No. 2, Paper No. 9, 22 p. (2023). MSC: 82B26 60K35 05C05 PDFBibTeX XMLCite \textit{R. M. Khakimov} et al., Math. Phys. Anal. Geom. 26, No. 2, Paper No. 9, 22 p. (2023; Zbl 1517.82020) Full Text: DOI arXiv
Jamilov, Uygun; Ladra, Manuel Evolution algebras and dynamical systems of a worm propagation model. (English) Zbl 1515.37104 Linear Multilinear Algebra 70, No. 19, 4097-4116 (2022). MSC: 37N25 92D10 17D92 PDFBibTeX XMLCite \textit{U. Jamilov} and \textit{M. Ladra}, Linear Multilinear Algebra 70, No. 19, 4097--4116 (2022; Zbl 1515.37104) Full Text: DOI
bin Embong, Ahmad Fadillah Compatible linear Lyapunov function for infinite dimensional Volterra quadratic stochastic operators. (Compatible linear Lypunov function for infinite dimensional Volterra quadratic stochastic operators.) (English) Zbl 1517.47087 Accardi, Luigi (ed.) et al., Infinite dimensional analysis, quantum probability and applications, QP41. Proceedings of the 41st conference, United Arab Emirates University (UAEU), Al Ain, Abu Dhabi, United Arab Emirates, virtual, March 28 – April 1, 2021. Cham: Springer. Springer Proc. Math. Stat. 390, 307-317 (2022). MSC: 47H40 PDFBibTeX XMLCite \textit{A. F. bin Embong}, Springer Proc. Math. Stat. 390, 307--317 (2022; Zbl 1517.47087) Full Text: DOI
Jamilov, Uygun On the convex combination of Volterra operators. (English) Zbl 1509.37057 J. Convex Anal. 29, No. 4, 1065-1082 (2022). MSC: 37H10 37N25 47H40 92D25 PDFBibTeX XMLCite \textit{U. Jamilov}, J. Convex Anal. 29, No. 4, 1065--1082 (2022; Zbl 1509.37057) Full Text: Link
Aralova, K. A.; Jamilov, U. U. The dynamics of superposition of non-Volterra quadratic stochastic operators. (English) Zbl 1507.37119 J. Difference Equ. Appl. 28, No. 9, 1178-1192 (2022). MSC: 37N25 92D25 60H25 PDFBibTeX XMLCite \textit{K. A. Aralova} and \textit{U. U. Jamilov}, J. Difference Equ. Appl. 28, No. 9, 1178--1192 (2022; Zbl 1507.37119) Full Text: DOI
Jamilov, U. U.; Khudoyberdiev, Kh. O. An \((\alpha,\beta)\)- quadratic stochastic operator acting in \(S^2\). (English) Zbl 1497.37056 J. Appl. Nonlinear Dyn. 11, No. 4, 777-788 (2022). MSC: 37H10 47H40 PDFBibTeX XMLCite \textit{U. U. Jamilov} and \textit{Kh. O. Khudoyberdiev}, J. Appl. Nonlinear Dyn. 11, No. 4, 777--788 (2022; Zbl 1497.37056) Full Text: DOI
Ganikhodzhaev, N. N.; Rozikov, U. A.; Khatamov, N. M. Gibbs measures for the HC Blume-Capel model with countably many states on a Cayley tree. (English. Russian original) Zbl 1516.82020 Theor. Math. Phys. 211, No. 3, 856-865 (2022); translation from Teor. Mat. Fiz. 211, No. 3, 491-501 (2022). MSC: 82B20 82B05 PDFBibTeX XMLCite \textit{N. N. Ganikhodzhaev} et al., Theor. Math. Phys. 211, No. 3, 856--865 (2022; Zbl 1516.82020); translation from Teor. Mat. Fiz. 211, No. 3, 491--501 (2022) Full Text: DOI
Abdurakhimova, Sh. B.; Rozikov, U. A. Dynamical system of a quadratic stochastic operator with two discontinuity points. (English. Russian original) Zbl 1494.92092 Math. Notes 111, No. 5, 676-687 (2022); translation from Mat. Zametki 111, No. 5, 664-675 (2022). MSC: 92D25 37C25 PDFBibTeX XMLCite \textit{Sh. B. Abdurakhimova} and \textit{U. A. Rozikov}, Math. Notes 111, No. 5, 676--687 (2022; Zbl 1494.92092); translation from Mat. Zametki 111, No. 5, 664--675 (2022) Full Text: DOI arXiv
Ganikhodjaev, N. N.; Jamilov, U. U.; Ladra, M. Evolutionary dynamics of zero-sum games with degenerate payoff matrix and bisexual population. (English) Zbl 1492.37084 Discontin. Nonlinearity Complex. 10, No. 1, 43-60 (2021). MSC: 37N25 91A22 92D25 PDFBibTeX XMLCite \textit{N. N. Ganikhodjaev} et al., Discontin. Nonlinearity Complex. 10, No. 1, 43--60 (2021; Zbl 1492.37084) Full Text: DOI
Kurganov, K. A.; Jamilov, U. U.; Okhunova, M. O. On a family of Volterra cubic stochastic operators. (English) Zbl 1485.37083 Lobachevskii J. Math. 42, No. 12, 2867-2875 (2021). MSC: 37N25 92D25 47B80 47H40 PDFBibTeX XMLCite \textit{K. A. Kurganov} et al., Lobachevskii J. Math. 42, No. 12, 2867--2875 (2021; Zbl 1485.37083) Full Text: DOI
Jamilov, U. U.; Kurganov, K. A. On a non-Volterra cubic stochastic operator. (English) Zbl 1493.60106 Lobachevskii J. Math. 42, No. 12, 2800-2807 (2021). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 60H25 47H40 PDFBibTeX XMLCite \textit{U. U. Jamilov} and \textit{K. A. Kurganov}, Lobachevskii J. Math. 42, No. 12, 2800--2807 (2021; Zbl 1493.60106) Full Text: DOI
Saburov, Mansoor Uniformly historic behaviour in compact dynamical systems. (English) Zbl 1482.37007 J. Difference Equ. Appl. 27, No. 7, 1006-1023 (2021). MSC: 37A30 47H25 92D25 92B05 PDFBibTeX XMLCite \textit{M. Saburov}, J. Difference Equ. Appl. 27, No. 7, 1006--1023 (2021; Zbl 1482.37007) Full Text: DOI
Jamilov, U. U. Certain polynomial stochastic operators. (English) Zbl 1473.37065 Math. Notes 109, No. 5, 828-831 (2021). MSC: 37H10 47B80 47H40 PDFBibTeX XMLCite \textit{U. U. Jamilov}, Math. Notes 109, No. 5, 828--831 (2021; Zbl 1473.37065) Full Text: DOI
Jamilov, Uygun; Reinfelds, Andrejs A family of Volterra cubic stochastic operators. (English) Zbl 1457.37107 J. Convex Anal. 28, No. 1, 19-30 (2021). MSC: 37N25 37H10 37A25 92D25 60H25 PDFBibTeX XMLCite \textit{U. Jamilov} and \textit{A. Reinfelds}, J. Convex Anal. 28, No. 1, 19--30 (2021; Zbl 1457.37107) Full Text: Link
Khamrayev, A. Yu. On the dynamics of a quasistrictly non-Volterra quadratic stochastic operator. (English. Russian original) Zbl 07622915 Ukr. Math. J. 71, No. 8, 1273-1281 (2020); translation from Ukr. Mat. Zh. 71, No. 8, 1116-1122 (2019). MSC: 47-XX 92Dxx 60Hxx PDFBibTeX XMLCite \textit{A. Yu. Khamrayev}, Ukr. Math. J. 71, No. 8, 1273--1281 (2020; Zbl 07622915); translation from Ukr. Mat. Zh. 71, No. 8, 1116--1122 (2019) Full Text: DOI
Absalamov, Akmal T.; Rozikov, Utkir A. The dynamics of gonosomal evolution operators. (English) Zbl 1485.37073 J. Appl. Nonlinear Dyn. 9, No. 2, 247-257 (2020). MSC: 37N25 92D15 92D25 PDFBibTeX XMLCite \textit{A. T. Absalamov} and \textit{U. A. Rozikov}, J. Appl. Nonlinear Dyn. 9, No. 2, 247--257 (2020; Zbl 1485.37073) Full Text: DOI
Jamilov, U. U.; Ladra, M. On \((s,t)\)-Volterra quadratic stochastic operators of a bisexual population. (English) Zbl 1469.92091 J. Appl. Nonlinear Dyn. 9, No. 4, 575-588 (2020). MSC: 92D25 37N25 PDFBibTeX XMLCite \textit{U. U. Jamilov} and \textit{M. Ladra}, J. Appl. Nonlinear Dyn. 9, No. 4, 575--588 (2020; Zbl 1469.92091) Full Text: DOI
Candan, Tuncay; Saburov, Mansur; Ufuktepe, Ünal Reaching a consensus via Krause mean processes in multi-agent systems: quadratic stochastic operators. (English) Zbl 1470.93141 Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 397-409 (2020). MSC: 93D50 93A16 93B28 93E03 PDFBibTeX XMLCite \textit{T. Candan} et al., Springer Proc. Math. Stat. 341, 397--409 (2020; Zbl 1470.93141) Full Text: DOI
Saburov, Mansoor Ergodicity of non-homogeneous \(\mathbf{p}\)-majorizing quadratic stochastic operators. (English) Zbl 07345716 Positivity 24, No. 5, 1191-1209 (2020). Reviewer: Sergei V. Rogosin (Minsk) MSC: 47H25 47H60 60J10 60K37 PDFBibTeX XMLCite \textit{M. Saburov}, Positivity 24, No. 5, 1191--1209 (2020; Zbl 07345716) Full Text: DOI
Jamilov, U. U.; Khudoyberdiev, Kh. O.; Ladra, M. Quadratic operators corresponding to permutations. (English) Zbl 1466.37044 Stochastic Anal. Appl. 38, No. 5, 929-938 (2020). MSC: 37H10 37C10 37N25 92D25 PDFBibTeX XMLCite \textit{U. U. Jamilov} et al., Stochastic Anal. Appl. 38, No. 5, 929--938 (2020; Zbl 1466.37044) Full Text: DOI
Gritsans, Armands Asymptotically stable heteroclinic cycles in discrete-time \(\mathbb{Z}_4\)-equivariant cubic dynamical systems. (English) Zbl 1478.37030 J. Difference Equ. Appl. 26, No. 9-10, 1247-1265 (2020). MSC: 37B25 37C75 37C81 39A30 PDFBibTeX XMLCite \textit{A. Gritsans}, J. Difference Equ. Appl. 26, No. 9--10, 1247--1265 (2020; Zbl 1478.37030) Full Text: DOI
Jamilov, Uygun; Ladra, Manuel The dynamics of \((\pi,\alpha)\)-cubic stochastic operators. (English) Zbl 1460.37048 J. Difference Equ. Appl. 26, No. 11-12, 1514-1525 (2020). MSC: 37H10 37C25 37C10 60H25 PDFBibTeX XMLCite \textit{U. Jamilov} and \textit{M. Ladra}, J. Difference Equ. Appl. 26, No. 11--12, 1514--1525 (2020; Zbl 1460.37048) Full Text: DOI
Jamilov, Uygun; Ladra, Manuel On a family of non-Volterra quadratic operators acting on a simplex. (English) Zbl 1458.37099 Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 95, 19 p. (2020). MSC: 37N25 47H40 60H25 92D25 PDFBibTeX XMLCite \textit{U. Jamilov} and \textit{M. Ladra}, Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 95, 19 p. (2020; Zbl 1458.37099) Full Text: DOI
Khakimov, R. M.; Makhammadaliev, M. T. Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model. (English. Russian original) Zbl 1454.82015 Theor. Math. Phys. 204, No. 2, 1059-1078 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 258-279 (2020). MSC: 82B30 82B20 05C05 PDFBibTeX XMLCite \textit{R. M. Khakimov} and \textit{M. T. Makhammadaliev}, Theor. Math. Phys. 204, No. 2, 1059--1078 (2020; Zbl 1454.82015); translation from Teor. Mat. Fiz. 204, No. 2, 258--279 (2020) Full Text: DOI
Mukhamedov, Farrukh; Khakimov, Otabek; Embong, Ahmad Fadillah On omega limiting sets of infinite dimensional Volterra operators. (English) Zbl 1457.37018 Nonlinearity 33, No. 11, 5875-5904 (2020). Reviewer: Ilia V. Boikov (Penza) MSC: 37B25 37A25 46N60 47H25 PDFBibTeX XMLCite \textit{F. Mukhamedov} et al., Nonlinearity 33, No. 11, 5875--5904 (2020; Zbl 1457.37018) Full Text: DOI arXiv
Saburov, M.; Saburov, Kh. Ganikhodjaev’s conjecture on mean ergodicity of quadratic stochastic operators. (English) Zbl 07267694 Lobachevskii J. Math. 41, No. 6, 1014-1020 (2020). MSC: 47H25 47A35 15B51 37A25 PDFBibTeX XMLCite \textit{M. Saburov} and \textit{Kh. Saburov}, Lobachevskii J. Math. 41, No. 6, 1014--1020 (2020; Zbl 07267694) Full Text: DOI
Rozikov, U. A.; Usmonov, J. B. Dynamics of a population with two equal dominated species. (English) Zbl 1448.37123 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 62, 19 p. (2020). Reviewer: George Karakostas (Ioannina) MSC: 37N25 92D25 37E05 37C25 PDFBibTeX XMLCite \textit{U. A. Rozikov} and \textit{J. B. Usmonov}, Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 62, 19 p. (2020; Zbl 1448.37123) Full Text: DOI arXiv
Jamilov, U. U.; Reinfelds, Andrejs On constrained Volterra cubic stochastic operators. (English) Zbl 1440.37084 J. Difference Equ. Appl. 26, No. 2, 261-274 (2020). MSC: 37N25 37C27 92D25 60H25 PDFBibTeX XMLCite \textit{U. U. Jamilov} and \textit{A. Reinfelds}, J. Difference Equ. Appl. 26, No. 2, 261--274 (2020; Zbl 1440.37084) Full Text: DOI
Saburov, Mansoor Iterated means dichotomy for discrete dynamical systems. (English) Zbl 1453.37006 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 25, 10 p. (2020). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 37A30 37A25 47H25 60J10 PDFBibTeX XMLCite \textit{M. Saburov}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 25, 10 p. (2020; Zbl 1453.37006) Full Text: DOI
Saburov, Mansoor Ergodicity of \(p\)-majorizing nonlinear Markov operators on the finite dimensional space. (English) Zbl 1476.47038 Linear Algebra Appl. 578, 53-74 (2019). MSC: 47H25 47H60 60J10 37A30 PDFBibTeX XMLCite \textit{M. Saburov}, Linear Algebra Appl. 578, 53--74 (2019; Zbl 1476.47038) Full Text: DOI
Casas, J. M.; Ladra, M.; Rozikov, U. A. Markov processes of cubic stochastic matrices: quadratic stochastic processes. (English) Zbl 1481.60143 Linear Algebra Appl. 575, 273-298 (2019). MSC: 60J27 15B51 PDFBibTeX XMLCite \textit{J. M. Casas} et al., Linear Algebra Appl. 575, 273--298 (2019; Zbl 1481.60143) Full Text: DOI arXiv
Mukhamedov, Farrukh; Embong, Ahmad Fadillah On non-linear Markov operators: surjectivity vs orthogonal preserving property. (English) Zbl 1500.47085 Linear Multilinear Algebra 66, No. 11, 2183-2190 (2018). MSC: 47H25 47H60 37A30 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{A. F. Embong}, Linear Multilinear Algebra 66, No. 11, 2183--2190 (2018; Zbl 1500.47085) Full Text: DOI arXiv
Barton, N. H.; Etheridge, A. M. Establishment in a new habitat by polygenic adaptation. (English) Zbl 1405.92160 Theor. Popul. Biol. 122, 110-127 (2018). MSC: 92D10 92D40 92D15 PDFBibTeX XMLCite \textit{N. H. Barton} and \textit{A. M. Etheridge}, Theor. Popul. Biol. 122, 110--127 (2018; Zbl 1405.92160) Full Text: DOI Link
Badocha, Michał; Bartoszek, Wojciech Quadratic stochastic operators on Banach lattices. (English) Zbl 1391.60188 Positivity 22, No. 2, 477-492 (2018). MSC: 60J35 47H20 PDFBibTeX XMLCite \textit{M. Badocha} and \textit{W. Bartoszek}, Positivity 22, No. 2, 477--492 (2018; Zbl 1391.60188) Full Text: DOI
Mukhamedov, Farrukh; Embong, Ahmad Fadillah On stable \(b\)-bistochastic quadratic stochastic operators and associated non-homogenous Markov chains. (English) Zbl 1388.60125 Linear Multilinear Algebra 66, No. 1, 1-21 (2018). MSC: 60J10 60J35 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{A. F. Embong}, Linear Multilinear Algebra 66, No. 1, 1--21 (2018; Zbl 1388.60125) Full Text: DOI arXiv
Jamilov, U. U.; Khamraev, A. Yu.; Ladra, M. On a Volterra cubic stochastic operator. (English) Zbl 1398.37092 Bull. Math. Biol. 80, No. 2, 319-334 (2018). Reviewer: Fengqin Zhang (Yuncheng) MSC: 37N25 92D10 PDFBibTeX XMLCite \textit{U. U. Jamilov} et al., Bull. Math. Biol. 80, No. 2, 319--334 (2018; Zbl 1398.37092) Full Text: DOI
Bartoszek, Krzysztof; Pułka, Małgorzata Prevalence problem in the set of quadratic stochastic operators acting on \(L^{1}\). (English) Zbl 06835861 Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 159-173 (2018). MSC: 47A35 47B65 47B07 54H20 92B99 92D15 PDFBibTeX XMLCite \textit{K. Bartoszek} and \textit{M. Pułka}, Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 159--173 (2018; Zbl 06835861) Full Text: DOI arXiv
Alsarayreh, A.; Qaralleh, I.; Ahmad, M. Z. \(\xi\)-quadratic stochastic operators in two-dimensional simplex and their behavior. (English) Zbl 1499.37081 JP J. Algebra Number Theory Appl. 39, No. 5, 737-770 (2017). MSC: 37E99 37N25 39B82 47H60 92D25 PDFBibTeX XMLCite \textit{A. Alsarayreh} et al., JP J. Algebra Number Theory Appl. 39, No. 5, 737--770 (2017; Zbl 1499.37081) Full Text: DOI
Jamilov, U. U.; Ladra, M.; Mukhitdinov, R. T. On the equiprobable strictly non-Volterra quadratic stochastic operators. (English) Zbl 1390.37090 Qual. Theory Dyn. Syst. 16, No. 3, 645-655 (2017). MSC: 37H10 60H10 PDFBibTeX XMLCite \textit{U. U. Jamilov} et al., Qual. Theory Dyn. Syst. 16, No. 3, 645--655 (2017; Zbl 1390.37090) Full Text: DOI
Jamilov, U. U.; Ladra, M. On identically distributed non-Volterra cubic stochastic operator. (English) Zbl 1365.47004 J. Appl. Nonlinear Dyn. 6, No. 1, 79-90 (2017). MSC: 47B80 37A25 60H25 PDFBibTeX XMLCite \textit{U. U. Jamilov} and \textit{M. Ladra}, J. Appl. Nonlinear Dyn. 6, No. 1, 79--90 (2017; Zbl 1365.47004) Full Text: DOI
Jamilov, U. U.; Scheutzow, M.; Wilke-Berenguer, M. On the random dynamics of Volterra quadratic operators. (English) Zbl 1408.37090 Ergodic Theory Dyn. Syst. 37, No. 1, 228-243 (2017). MSC: 37H10 37C70 60H25 47H40 PDFBibTeX XMLCite \textit{U. U. Jamilov} et al., Ergodic Theory Dyn. Syst. 37, No. 1, 228--243 (2017; Zbl 1408.37090) Full Text: DOI arXiv Link
Rakhmatullaev, M. M. On weakly periodic Gibbs measures for the Potts model with external field on the Cayley tree. (English. Russian original) Zbl 1490.82006 Ukr. Math. J. 68, No. 4, 598-611 (2016); translation from Ukr. Mat. Zh. 68, No. 4, 529-541 (2016). MSC: 82B20 05C25 PDFBibTeX XMLCite \textit{M. M. Rakhmatullaev}, Ukr. Math. J. 68, No. 4, 598--611 (2016; Zbl 1490.82006); translation from Ukr. Mat. Zh. 68, No. 4, 529--541 (2016) Full Text: DOI
Ganikhodjaev, Nasir Algebras with genetic realization and corresponding evolutionary population dynamics. (English) Zbl 1415.17029 Russo, Bernard (ed.) et al., Topics in functional analysis and algebra. USA-Uzbekistan conference on analysis and mathematical physics, California State University, Fullerton, CA, USA, May 20–23, 2014. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 672, 169-178 (2016). MSC: 17D92 91A22 92D10 PDFBibTeX XMLCite \textit{N. Ganikhodjaev}, Contemp. Math. 672, 169--178 (2016; Zbl 1415.17029) Full Text: DOI
Jamilov, Uygun; Ladra, Manuel Non-ergodicity of uniform quadratic stochastic operators. (English) Zbl 1344.37093 Qual. Theory Dyn. Syst. 15, No. 1, 257-271 (2016). MSC: 37N25 91A22 91A60 37A50 PDFBibTeX XMLCite \textit{U. Jamilov} and \textit{M. Ladra}, Qual. Theory Dyn. Syst. 15, No. 1, 257--271 (2016; Zbl 1344.37093) Full Text: DOI
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. Constrained evolution algebras and dynamical systems of a bisexual population. (English) Zbl 1382.17022 Linear Algebra Appl. 496, 351-380 (2016). MSC: 17D92 17A60 60J20 92D25 PDFBibTeX XMLCite \textit{A. Dzhumadil'daev} et al., Linear Algebra Appl. 496, 351--380 (2016; Zbl 1382.17022) Full Text: DOI arXiv
Davronov, R. R.; Jamilov, U. U.; Ladra, M. Conditional cubic stochastic operator. (English) Zbl 1337.37067 J. Difference Equ. Appl. 21, No. 12, 1163-1170 (2015). MSC: 37N25 92D10 PDFBibTeX XMLCite \textit{R. R. Davronov} et al., J. Difference Equ. Appl. 21, No. 12, 1163--1170 (2015; Zbl 1337.37067) Full Text: DOI
Rahmatullaev, M. M. A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree. (English. Russian original) Zbl 1337.82003 Sib. Math. J. 56, No. 5, 929-935 (2015); translation from Sib. Mat. Zh. 56, No. 5, 1163-1170 (2015). MSC: 82B20 82D40 05C05 PDFBibTeX XMLCite \textit{M. M. Rahmatullaev}, Sib. Math. J. 56, No. 5, 929--935 (2015; Zbl 1337.82003); translation from Sib. Mat. Zh. 56, No. 5, 1163--1170 (2015) Full Text: DOI
Ganikhodjaev, Nasir N.; Ganikhodjaev, Rasul N.; Jamilov, U. U. Quadratic stochastic operators and zero-sum game dynamics. (English) Zbl 1352.37026 Ergodic Theory Dyn. Syst. 35, No. 5, 1443-1473 (2015). MSC: 37A50 37H10 60H25 91A25 PDFBibTeX XMLCite \textit{N. N. Ganikhodjaev} et al., Ergodic Theory Dyn. Syst. 35, No. 5, 1443--1473 (2015; Zbl 1352.37026) Full Text: DOI
Rahmatullaev, M. M. Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree. (English. Russian original) Zbl 1327.82019 Theor. Math. Phys. 183, No. 3, 822-828 (2015); translation from Teor. Mat. Fiz. 183, No. 3, 434-440 (2015). MSC: 82B20 05C05 82D40 PDFBibTeX XMLCite \textit{M. M. Rahmatullaev}, Theor. Math. Phys. 183, No. 3, 822--828 (2015; Zbl 1327.82019); translation from Teor. Mat. Fiz. 183, No. 3, 434--440 (2015) Full Text: DOI
Rozikov, U. A.; Khakimov, R. M. Gibbs measures for the fertile three-state hard-core models on a Cayley tree. (English) Zbl 1369.82010 Queueing Syst. 81, No. 1, 49-69 (2015). Reviewer: Mei Yin (Denver) MSC: 82B26 60K35 82B27 PDFBibTeX XMLCite \textit{U. A. Rozikov} and \textit{R. M. Khakimov}, Queueing Syst. 81, No. 1, 49--69 (2015; Zbl 1369.82010) Full Text: DOI
Mukhamedov, Farrukh; Supar, Nurul Akma On marginal processes of quadratic stochastic processes. (English) Zbl 1318.60101 Bull. Malays. Math. Sci. Soc. (2) 38, No. 3, 1281-1296 (2015). MSC: 60K35 60J05 60F99 37A50 92D10 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{N. A. Supar}, Bull. Malays. Math. Sci. Soc. (2) 38, No. 3, 1281--1296 (2015; Zbl 1318.60101) Full Text: DOI
Ganikhodjaev, Nasir; Hamzah, Nur Zatul Akmar On Poisson nonlinear transformations. (English) Zbl 1328.60156 Sci. World J., Probab. Stat. 2014, Article ID 832861, 7 p. (2014). MSC: 60H25 37N25 PDFBibTeX XMLCite \textit{N. Ganikhodjaev} and \textit{N. Z. A. Hamzah}, Sci. World J., Probab. Stat. 2014, Article ID 832861, 7 p. (2014; Zbl 1328.60156) Full Text: DOI
Ganikhodzhaev, N. N.; Zhamilov, U. U.; Mukhitdinov, R. T. Nonergodic quadratic operators for a two-sex population. (English. Ukrainian original) Zbl 1331.37136 Ukr. Math. J. 65, No. 8, 1282-1291 (2014); translation from Ukr. Mat. Zh. 65, No. 8, 1152-1160 (2013). MSC: 37N25 PDFBibTeX XMLCite \textit{N. N. Ganikhodzhaev} et al., Ukr. Math. J. 65, No. 8, 1282--1291 (2014; Zbl 1331.37136); translation from Ukr. Mat. Zh. 65, No. 8, 1152--1160 (2013) Full Text: DOI
Blath, J.; Jamilov, U. U.; Scheutzow, M. \((G,\mu)\)-quadratic stochastic operators. (English) Zbl 1303.37036 J. Difference Equ. Appl. 20, No. 8, 1258-1267 (2014). Reviewer: Carlo Laing (Auckland) MSC: 37N25 92D25 37C25 34C05 70K05 PDFBibTeX XMLCite \textit{J. Blath} et al., J. Difference Equ. Appl. 20, No. 8, 1258--1267 (2014; Zbl 1303.37036) Full Text: DOI arXiv
Mukhamedov, Farrukh; Saburov, Mansoor; Qaralleh, Izzat On \(\xi^{(s)}\)-quadratic stochastic operators on two-dimensional simplex and their behavior. (English) Zbl 1470.47031 Abstr. Appl. Anal. 2013, Article ID 942038, 12 p. (2013). MSC: 47D07 92D25 PDFBibTeX XMLCite \textit{F. Mukhamedov} et al., Abstr. Appl. Anal. 2013, Article ID 942038, 12 p. (2013; Zbl 1470.47031) Full Text: DOI arXiv
Shahidi, Farruh On infinite-dimensional dissipative quadratic stochastic operators. (English) Zbl 1375.47042 Adv. Difference Equ. 2013, Paper No. 272, 13 p. (2013). MSC: 47H60 46T05 PDFBibTeX XMLCite \textit{F. Shahidi}, Adv. Difference Equ. 2013, Paper No. 272, 13 p. (2013; Zbl 1375.47042) Full Text: DOI
Mukhamedov, Farrukh On \(L_1\)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications. (English) Zbl 1334.60145 Rev. Mat. Complut. 26, No. 2, 799-813 (2013). MSC: 60J10 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Rev. Mat. Complut. 26, No. 2, 799--813 (2013; Zbl 1334.60145) Full Text: DOI arXiv
Vallander, S. S. Change in the orbit orientation for a certain family of stochastic quadratic mappings. (English. Russian original) Zbl 1297.93110 Vestn. St. Petersbg. Univ., Math. 46, No. 4, 187-188 (2013); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2013, No. 4, 13-14 (2013). MSC: 93C55 93E03 PDFBibTeX XMLCite \textit{S. S. Vallander}, Vestn. St. Petersbg. Univ., Math. 46, No. 4, 187--188 (2013; Zbl 1297.93110); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2013, No. 4, 13--14 (2013) Full Text: DOI
Mukhamedov, Farrukh; Abduganiev, Abduaziz On pure quasi-quantum quadratic operators of \(\mathbb M_2(\mathbb C)\). (English) Zbl 1280.81012 Open Syst. Inf. Dyn. 20, No. 4, Article ID 1350018, 18 p. (2013). MSC: 81P15 81P45 47H07 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{A. Abduganiev}, Open Syst. Inf. Dyn. 20, No. 4, Article ID 1350018, 18 p. (2013; Zbl 1280.81012) Full Text: DOI arXiv
Bartoszek, Wojciech; Pułka, Małgorzata On mixing in the class of quadratic stochastic operators. (English) Zbl 1298.47069 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 86, 95-113 (2013). Reviewer: Victor Sharapov (Dayton) MSC: 47H60 47B37 60J10 37A30 47D07 PDFBibTeX XMLCite \textit{W. Bartoszek} and \textit{M. Pułka}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 86, 95--113 (2013; Zbl 1298.47069) Full Text: DOI
Mukhamedov, Farrukh; Akın, Hasan; Temir, Seyit; Abduganiev, Abduaziz On quantum quadratic operators of \(\mathbb M_2(\mathbb C)\) and their dynamics. (English) Zbl 1210.47081 J. Math. Anal. Appl. 376, No. 2, 641-655 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 47H60 46L30 81R15 15A99 46L60 PDFBibTeX XMLCite \textit{F. Mukhamedov} et al., J. Math. Anal. Appl. 376, No. 2, 641--655 (2011; Zbl 1210.47081) Full Text: DOI arXiv
Rozikov, U. A.; Shoyusupov, Sh. A. Fertile HC models with three states on a Cayley tree. (English. Russian original) Zbl 1157.82312 Theor. Math. Phys. 156, No. 3, 1319-1330 (2008); translation from Teor. Mat. Fiz. 156, No. 3, 412-424 (2008). MSC: 82B20 PDFBibTeX XMLCite \textit{U. A. Rozikov} and \textit{Sh. A. Shoyusupov}, Theor. Math. Phys. 156, No. 3, 1319--1330 (2008; Zbl 1157.82312); translation from Teor. Mat. Fiz. 156, No. 3, 412--424 (2008) Full Text: DOI
Rozikov, U. A.; Zhamilov, U. U. \(F\)-quadratic stochastic operators. (English. Russian original) Zbl 1167.92023 Math. Notes 83, No. 4, 554-559 (2008); translation from Mat. Zametki 83, No. 4, 606-612 (2008). Reviewer: Andrzej Nowak (Katowice) MSC: 92D10 47N60 47H40 47H10 37N25 PDFBibTeX XMLCite \textit{U. A. Rozikov} and \textit{U. U. Zhamilov}, Math. Notes 83, No. 4, 554--559 (2008; Zbl 1167.92023); translation from Mat. Zametki 83, No. 4, 606--612 (2008) Full Text: DOI arXiv
Ganikhodjaev, Nasir; Akin, Hasan; Mukhamedov, Farrukh On the ergodic principle for Markov and quadratic stochastic processes and its relations. (English) Zbl 1096.60038 Linear Algebra Appl. 416, No. 2-3, 730-741 (2006). MSC: 60K35 60J05 60F99 92E99 47A35 37H99 PDFBibTeX XMLCite \textit{N. Ganikhodjaev} et al., Linear Algebra Appl. 416, No. 2--3, 730--741 (2006; Zbl 1096.60038) Full Text: DOI arXiv
Martin, James; Rozikov, Utkir; Suhov, Yuri A three state hard-core model on a Cayley tree. (English) Zbl 1171.82308 J. Nonlinear Math. Phys. 12, No. 3, 432-448 (2005). MSC: 82B20 05C05 60J25 60K35 82B26 PDFBibTeX XMLCite \textit{J. Martin} et al., J. Nonlinear Math. Phys. 12, No. 3, 432--448 (2005; Zbl 1171.82308) Full Text: DOI
Mukhamedov, Farruh; Akin, Hasan; Temir, Seyit On infinite dimensional quadratic Volterra operators. (English) Zbl 1121.47065 J. Math. Anal. Appl. 310, No. 2, 533-556 (2005). Reviewer: Bernd Kuckert (Hamburg) MSC: 47N60 46L30 92B15 62P10 62P12 PDFBibTeX XMLCite \textit{F. Mukhamedov} et al., J. Math. Anal. Appl. 310, No. 2, 533--556 (2005; Zbl 1121.47065) Full Text: DOI arXiv
Mukhamedov, F. M. On the Blum-Hanson theorem for quantum quadratic processes. (English. Russian original) Zbl 0966.46047 Math. Notes 67, No. 1, 81-86 (2000); translation from Mat. Zametki 67, No. 1, 102-109 (2000). MSC: 46L60 81S25 47A35 PDFBibTeX XMLCite \textit{F. M. Mukhamedov}, Math. Notes 67, No. 1, 81--86 (2000; Zbl 0966.46047); translation from Mat. Zametki 67, No. 1, 102--109 (2000) Full Text: DOI
Hatcher, Melanie J.; Taneyhill, Dale E.; Dunn, Alison M.; Tofts, Chris Population dynamics under parasitic sex ratio distortion. (English) Zbl 0934.92026 Theor. Popul. Biol. 56, No. 1, 11-28 (1999). MSC: 92D25 92D30 92D40 60J85 PDFBibTeX XMLCite \textit{M. J. Hatcher} et al., Theor. Popul. Biol. 56, No. 1, 11--28 (1999; Zbl 0934.92026) Full Text: DOI
Ganikhodzhaev, N. N. On stochastic processes generated by quadric operators. (English) Zbl 0744.60075 J. Theor. Probab. 4, No. 4, 639-653 (1991). Reviewer: N.N.Ganikhodzhaev (Tashkent) MSC: 60J10 PDFBibTeX XMLCite \textit{N. N. Ganikhodzhaev}, J. Theor. Probab. 4, No. 4, 639--653 (1991; Zbl 0744.60075) Full Text: DOI
Sarymsakov, T. A.; Ganikhodzhaev, N. N. Analytic methods in the theory of quadric stochastic operators. (English) Zbl 0696.60062 J. Theor. Probab. 3, No. 1, 51-70 (1990). Reviewer: H.Gzyl MSC: 60H99 60G12 PDFBibTeX XMLCite \textit{T. A. Sarymsakov} and \textit{N. N. Ganikhodzhaev}, J. Theor. Probab. 3, No. 1, 51--70 (1990; Zbl 0696.60062) Full Text: DOI
Fujimagari, Tetsuo Controlled Galton-Watson process and its asymptotic behavior. (English) Zbl 0365.60084 Kōdai Math. Semin. Rep. 27, 11-18 (1976). MSC: 60J80 93E20 PDFBibTeX XMLCite \textit{T. Fujimagari}, Kōdai Math. Semin. Rep. 27, 11--18 (1976; Zbl 0365.60084) Full Text: DOI
Keiding, Niels; Hoem, Jan M. Stochastic stable population theory with continuous time. I. (English) Zbl 0346.92019 Scand. Actuarial J. 1976, 150-175 (1976). MSC: 92D25 60J85 PDFBibTeX XMLCite \textit{N. Keiding} and \textit{J. M. Hoem}, Scand. Actuarial J. 1976, 150--175 (1976; Zbl 0346.92019) Full Text: DOI
Mode, Charles J. A discrete time stochastic growth process for human populations accommodating marriages. (English) Zbl 0281.92013 Math. Biosci. 19, 201-219 (1974). MSC: 92D25 60J85 PDFBibTeX XMLCite \textit{C. J. Mode}, Math. Biosci. 19, 201--219 (1974; Zbl 0281.92013) Full Text: DOI
Mode, Charles J. A study of a Malthusian parameter in relation to some stochastic models of human reproduction. (English) Zbl 0238.92004 Theor. Popul. Biol. 3, 300-323 (1972). MSC: 92D25 PDFBibTeX XMLCite \textit{C. J. Mode}, Theor. Popul. Biol. 3, 300--323 (1972; Zbl 0238.92004) Full Text: DOI
Mode, Charles J. A bisexual multitype branching process with applications in population genetics. (English) Zbl 0231.92004 Bull. Math. Biophys. 34, 13-31 (1972). MSC: 92D25 60J85 PDFBibTeX XMLCite \textit{C. J. Mode}, Bull. Math. Biophys. 34, 13--31 (1972; Zbl 0231.92004) Full Text: DOI
Kesten, Harry Some nonlinear stochastic growth models. (English) Zbl 0307.92012 Bull. Am. Math. Soc. 77, 492-511 (1971). MSC: 92D25 91B60 60J85 60J80 60F99 PDFBibTeX XMLCite \textit{H. Kesten}, Bull. Am. Math. Soc. 77, 492--511 (1971; Zbl 0307.92012) Full Text: DOI