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@article{IVM_2023_7_a6, author = {B. J. Mamurov}, title = {A convex combination of two quadratic stochastic operators acting in the $2D$-simplex}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {66--70}, publisher = {mathdoc}, number = {7}, year = {2023}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2023_7_a6/} }
TY - JOUR AU - B. J. Mamurov TI - A convex combination of two quadratic stochastic operators acting in the $2D$-simplex JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2023 SP - 66 EP - 70 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2023_7_a6/ LA - ru ID - IVM_2023_7_a6 ER -
B. J. Mamurov. A convex combination of two quadratic stochastic operators acting in the $2D$-simplex. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2023), pp. 66-70. http://geodesic.mathdoc.fr/item/IVM_2023_7_a6/
[1] Bernstein S., “Solution of a mathematical problem connected with the theory of heredity”, Ann. Math. Stat., 13:1 (1942), 53–61 | DOI | MR | Zbl
[2] Rozikov U.A., Zhamilov U.U., “$F$-kvadratichnye stokhasticheskie operatory”, Matem. zametki, 83:4 (2008), 606–612 | DOI | MR | Zbl
[3] Zhamilov U.U., Rozikov U.A., “O dinamike strogo nevolterrovskikh kvadratichnykh stokhasticheskikh operatorov na dvumernom simplekse”, Matem. sb., 200:9 (2009), 81–94 | DOI | MR | Zbl
[4] Mamurov B.J., Rozikov U.A., “On cubic stochastic operators and processes”, J. Phys.: Conf. Ser., 697:1 (2016), 012017 | DOI
[5] Mamurov B.J., Rozikov U.A., Xudayarov S.S., “Quadratic stochastic processes of type $(\sigma | \mu)$”, Markov Processes Relat. Fields, 26 (2020), 915–933 | MR | Zbl
[6] Lyubich Y.I., Mathematical structures in population genetics, Biomathematics, 22, Springer, Berlin, 1992 | MR | Zbl
[7] Devaney R.L., An introduction to chaotic dynamical systems, Studies in Nonlinearity, Westview Press, Boulder, 2003 | MR | Zbl
[8] Vallander S., “O predelnom povedenii posledovatelnostei iteratsii nekotorykh kvadratichnykh preobrazovanii”, Dokl. Akademii nauk, 202:3 (1972), 515–517 | MR | Zbl
[9] Mamurov B.J., “Regularity of a non-Volterra quadratic stochastic operator on the $2$D simplex”, Ilm sarchashmalari, 11 (2022), 29–31